Author name code: pariat ADS astronomy entries on 2022-09-14 author:"Pariat, Etienne" ------------------------------------------------------------------------ Title: The Importance of Method Redundancy in Studying Pre-Eruption Evolution in Solar Active Regions Authors: Georgoulis, Manolis K.; Pariat, Etienne; Liu, Yang; Thalmann, Julia K. Bibcode: 2022cosp...44.1358G Altcode: In a recent synergistic work stemming from a prior International Space Science Institute (ISSI) Working Group, the evolution of magnetic helicity in an intensely eruptive solar active region was studied using several different helicity calculation methods. This was the first time all these methods were tested on real solar data, without the possibility of a ground truth. Focusing on the pre-eruption evolution prior to an eruptive X-class flare (SOL2006-12-13T02:14X3.4) in NOAA active region (AR) 10930, we reveal a more complex picture than what any single method might convey. Through imperfect but overall converging calculations from different methods, we find artifacts that could mislead conclusions. More importantly, we find evidence of competing physical tendencies in the active region whose omission could lead to counterintuitive, hence misleading, again, conclusions. While for the Sun we have the capability to use different data and methods for related purposes, this is not the case for other eruptive stars, which is a fact calling for robust modeling approaches, relying on scarce and indirect observations of stellar magnetic fields and CME properties. Confluence of any data available and modeling could offer the redundancy needed to critically assess partial findings and reconcile them into a physically consistent picture of stellar eruptions, quite possibly with qualitative / quantitative similarities and differences from the eruptions of our own Sun. Title: Disambiguation of Vector Magnetograms by Stereoscopic Observations from the Solar Orbiter (SO)/Polarimetric and Helioseismic Imager (PHI) and the Solar Dynamic Observatory (SDO)/Helioseismic and Magnetic Imager (HMI) Authors: Valori, Gherardo; Löschl, Philipp; Stansby, David; Pariat, Etienne; Hirzberger, Johann; Chen, Feng Bibcode: 2022SoPh..297...12V Altcode: 2021arXiv211210650V Spectropolarimetric reconstructions of the photospheric vector magnetic field are intrinsically limited by the 180 ambiguity in the orientation of the transverse component. The successful launch and operation of Solar Orbiter have made the removal of the 180 ambiguity possible using solely observations obtained from two different vantage points. While the exploitation of such a possibility is straightforward in principle, it is less so in practice, and it is therefore important to assess the accuracy and limitations as a function of both the spacecrafts' orbits and measurement principles. In this work, we present a stereoscopic disambiguation method (SDM) and discuss thorough testing of its accuracy in applications to modeled active regions and quiet-Sun observations. In the first series of tests, we employ magnetograms extracted from three different numerical simulations as test fields and model observations of the magnetograms from different angles and distances. In these more idealized tests, SDM is proven to reach a 100% disambiguation accuracy when applied to moderately-to-well resolved fields. In such favorable conditions, the accuracy is almost independent of the relative position of the spacecraft with the obvious exceptions of configurations where the spacecraft are within a few degrees of co-alignment or quadrature. Even in the case of disambiguation of quiet-Sun magnetograms with significant under-resolved spatial scales, SDM provides an accuracy between 82% and 98%, depending on the field strength. The accuracy of SDM is found to be mostly sensitive to the variable spatial resolution of Solar Orbiter in its highly elliptic orbit, as well as to the intrinsic spatial scale of the observed field. Additionally, we provide an example of the expected accuracy as a function of time that can be used to optimally place remote-sensing observing windows during Solar Orbiter observation planning. Finally, as a more realistic test, we consider magnetograms that are obtained using a radiative-transfer inversion code and the SO/PHI Software siMulator (SOPHISM) applied to a 3D-simulation of a pore, and we present a preliminary discussion of the effect of the viewing angle on the observed field. In this more realistic test of the application of SDM, the method is able to successfully remove the ambiguity in strong-field areas. Title: Magnetic Helicity Estimations in Models and Observations of the Solar Magnetic Field. IV. Application to Solar Observations Authors: Thalmann, J. K.; Georgoulis, M. K.; Liu, Y.; Pariat, E.; Valori, G.; Anfinogentov, S.; Chen, F.; Guo, Y.; Moraitis, K.; Yang, S.; Mastrano, Alpha; ISSI Team on Magnetic Helicity Bibcode: 2021ApJ...922...41T Altcode: 2021arXiv210808525T In this ISSI-supported series of studies on magnetic helicity in the Sun, we systematically implement different magnetic helicity calculation methods on high-quality solar magnetogram observations. We apply finite-volume, discrete flux tube (in particular, connectivity-based) and flux-integration methods to data from Hinode's Solar Optical Telescope. The target is NOAA Active Region 10930 during a 1.5-day interval in 2006 December that included a major eruptive flare (SOL2006-12-13T02:14X3.4). Finite-volume and connectivity-based methods yield instantaneous budgets of the coronal magnetic helicity, while the flux-integration methods allow an estimate of the accumulated helicity injected through the photosphere. The objectives of our work are twofold: a cross-validation of methods, as well as an interpretation of the complex events leading to the eruption. To the first objective, we find (i) strong agreement among the finite-volume methods, (ii) a moderate agreement between the connectivity-based and finite-volume methods, (iii) an excellent agreement between the flux-integration methods, and (iv) an overall agreement between finite-volume- and flux-integration-based estimates regarding the predominant sign and magnitude of the helicity. To the second objective, we are confident that the photospheric helicity flux significantly contributed to the coronal helicity budget and that a right-handed structure erupted from a predominantly left-handed corona during the X-class flare. Overall, we find that the use of different methods to estimate the (accumulated) coronal helicity may be necessary in order to draw a complete picture of an active region corona, given the careful handling of identified data (preparation) issues, which otherwise would mislead the event analysis and interpretation. Title: Switch-on Shock and Nonlinear Kink Alfvén Waves in Solar Coronal-Hole Jets Authors: DeVore, C. R.; Karpen, J. T.; Antiochos, S. K.; Uritsky, V. M.; Roberts, M. A.; Pariat, E. Bibcode: 2021AAS...23821322D Altcode: It is generally accepted that solar coronal-hole jets are generated by fast magnetic reconnection in the low corona, whether driven directly by flux emergence from below or indirectly by instability onset above the photosphere. In either case, twisted flux on closed magnetic field lines reconnects with untwisted flux on neighboring open field lines. Some of that twist is inherited by the newly reconnected open flux, which rapidly relaxes due to magnetic tension forces that transmit the twist impulsively into the outer corona and heliosphere. We suggest that the transfer of twist launches switch-on MHD shock waves, which propagate parallel to the ambient coronal magnetic field ahead of the shock and convect a perpendicular component of magnetic field behind the shock. In the frame moving with the shock front, the post-shock flow is precisely Alfvénic in all three directions, whereas the pre-shock flow is super-Alfvénic along the ambient magnetic field. Consequently, there is a density enhancement across the shock front. Nonlinear kink Alfvén waves are exact solutions of the time-dependent MHD equations in the post-shock region when the ambient corona is uniform and the magnetic field is straight. We report 3D spherical simulations of coronal-hole jets driven by instability onset in the corona. The results are consistent with the generation of MHD switch-on shocks trailed predominantly by incompressible, irrotational, kink Alfvén waves. We will discuss the implications of our results for understanding solar jets and interpreting their heliospheric signatures in light of the new data on S-bends (a.k.a. switchbacks) from Parker Solar Probe. Our research is supported by NASA's H-ISFM program. Title: The flare likelihood and region eruption forecasting (FLARECAST) project: flare forecasting in the big data & machine learning era Authors: Georgoulis, Manolis K.; Bloomfield, D. Shaun; Piana, Michele; Massone, Anna Maria; Soldati, Marco; Gallagher, Peter T.; Pariat, Etienne; Vilmer, Nicole; Buchlin, Eric; Baudin, Frederic; Csillaghy, Andre; Sathiapal, Hanna; Jackson, David R.; Alingery, Pablo; Benvenuto, Federico; Campi, Cristina; Florios, Konstantinos; Gontikakis, Constantinos; Guennou, Chloe; Guerra, Jordan A.; Kontogiannis, Ioannis; Latorre, Vittorio; Murray, Sophie A.; Park, Sung-Hong; von Stachelski, Samuelvon; Torbica, Aleksandar; Vischi, Dario; Worsfold, Mark Bibcode: 2021JSWSC..11...39G Altcode: 2021arXiv210505993G The European Union funded the FLARECAST project, that ran from January 2015 until February 2018. FLARECAST had a research-to-operations (R2O) focus, and accordingly introduced several innovations into the discipline of solar flare forecasting. FLARECAST innovations were: first, the treatment of hundreds of physical properties viewed as promising flare predictors on equal footing, extending multiple previous works; second, the use of fourteen (14) different machine learning techniques, also on equal footing, to optimize the immense Big Data parameter space created by these many predictors; third, the establishment of a robust, three-pronged communication effort oriented toward policy makers, space-weather stakeholders and the wider public. FLARECAST pledged to make all its data, codes and infrastructure openly available worldwide. The combined use of 170+ properties (a total of 209 predictors are now available) in multiple machine-learning algorithms, some of which were designed exclusively for the project, gave rise to changing sets of best-performing predictors for the forecasting of different flaring levels, at least for major flares. At the same time, FLARECAST reaffirmed the importance of rigorous training and testing practices to avoid overly optimistic pre-operational prediction performance. In addition, the project has (a) tested new and revisited physically intuitive flare predictors and (b) provided meaningful clues toward the transition from flares to eruptive flares, namely, events associated with coronal mass ejections (CMEs). These leads, along with the FLARECAST data, algorithms and infrastructure, could help facilitate integrated space-weather forecasting efforts that take steps to avoid effort duplication. In spite of being one of the most intensive and systematic flare forecasting efforts to-date, FLARECAST has not managed to convincingly lift the barrier of stochasticity in solar flare occurrence and forecasting: solar flare prediction thus remains inherently probabilistic. Title: Additivity of relative magnetic helicity in finite volumes Authors: Valori, Gherardo; Démoulin, Pascal; Pariat, Etienne; Yeates, Anthony; Moraitis, Kostas; Linan, Luis Bibcode: 2020A&A...643A..26V Altcode: 2020arXiv200800968V Context. Relative magnetic helicity is conserved by magneto-hydrodynamic evolution even in the presence of moderate resistivity. For that reason, it is often invoked as the most relevant constraint on the dynamical evolution of plasmas in complex systems, such as solar and stellar dynamos, photospheric flux emergence, solar eruptions, and relaxation processes in laboratory plasmas. However, such studies often indirectly imply that relative magnetic helicity in a given spatial domain can be algebraically split into the helicity contributions of the composing subvolumes, in other words that it is an additive quantity. A limited number of very specific applications have shown that this is not the case.
Aims: Progress in understanding the nonadditivity of relative magnetic helicity requires removal of restrictive assumptions in favor of a general formalism that can be used in both theoretical investigations and numerical applications.
Methods: We derive the analytical gauge-invariant expression for the partition of relative magnetic helicity between contiguous finite volumes, without any assumptions on either the shape of the volumes and interface, or the employed gauge.
Results: We prove the nonadditivity of relative magnetic helicity in finite volumes in the most general, gauge-invariant formalism, and verify this numerically. We adopt more restrictive assumptions to derive known specific approximations, which yields a unified view of the additivity issue. As an example, the case of a flux rope embedded in a potential field shows that the nonadditivity term in the partition equation is, in general, non-negligible.
Conclusions: The nonadditivity of relative magnetic helicity can potentially be a serious impediment to the application of relative helicity conservation as a constraint on the complex dynamics of magnetized plasmas. The relative helicity partition formula can be applied to numerical simulations to precisely quantify the effect of nonadditivity on global helicity budgets of complex physical processes. Title: Erratum: "On the Reliability of Magnetic Energy and Helicity Computations Based on Nonlinear Force-free Coronal Magnetic Field Models" (2019, ApJL, 880, L6) Authors: Thalmann, Julia K.; Linan, L.; Pariat, E.; Valori, G. Bibcode: 2020ApJ...902L..48T Altcode: No abstract at ADS Title: Models and data analysis tools for the Solar Orbiter mission Authors: Rouillard, A. P.; Pinto, R. F.; Vourlidas, A.; De Groof, A.; Thompson, W. T.; Bemporad, A.; Dolei, S.; Indurain, M.; Buchlin, E.; Sasso, C.; Spadaro, D.; Dalmasse, K.; Hirzberger, J.; Zouganelis, I.; Strugarek, A.; Brun, A. S.; Alexandre, M.; Berghmans, D.; Raouafi, N. E.; Wiegelmann, T.; Pagano, P.; Arge, C. N.; Nieves-Chinchilla, T.; Lavarra, M.; Poirier, N.; Amari, T.; Aran, A.; Andretta, V.; Antonucci, E.; Anastasiadis, A.; Auchère, F.; Bellot Rubio, L.; Nicula, B.; Bonnin, X.; Bouchemit, M.; Budnik, E.; Caminade, S.; Cecconi, B.; Carlyle, J.; Cernuda, I.; Davila, J. M.; Etesi, L.; Espinosa Lara, F.; Fedorov, A.; Fineschi, S.; Fludra, A.; Génot, V.; Georgoulis, M. K.; Gilbert, H. R.; Giunta, A.; Gomez-Herrero, R.; Guest, S.; Haberreiter, M.; Hassler, D.; Henney, C. J.; Howard, R. A.; Horbury, T. S.; Janvier, M.; Jones, S. I.; Kozarev, K.; Kraaikamp, E.; Kouloumvakos, A.; Krucker, S.; Lagg, A.; Linker, J.; Lavraud, B.; Louarn, P.; Maksimovic, M.; Maloney, S.; Mann, G.; Masson, A.; Müller, D.; Önel, H.; Osuna, P.; Orozco Suarez, D.; Owen, C. J.; Papaioannou, A.; Pérez-Suárez, D.; Rodriguez-Pacheco, J.; Parenti, S.; Pariat, E.; Peter, H.; Plunkett, S.; Pomoell, J.; Raines, J. M.; Riethmüller, T. L.; Rich, N.; Rodriguez, L.; Romoli, M.; Sanchez, L.; Solanki, S. K.; St Cyr, O. C.; Straus, T.; Susino, R.; Teriaca, L.; del Toro Iniesta, J. C.; Ventura, R.; Verbeeck, C.; Vilmer, N.; Warmuth, A.; Walsh, A. P.; Watson, C.; Williams, D.; Wu, Y.; Zhukov, A. N. Bibcode: 2020A&A...642A...2R Altcode: Context. The Solar Orbiter spacecraft will be equipped with a wide range of remote-sensing (RS) and in situ (IS) instruments to record novel and unprecedented measurements of the solar atmosphere and the inner heliosphere. To take full advantage of these new datasets, tools and techniques must be developed to ease multi-instrument and multi-spacecraft studies. In particular the currently inaccessible low solar corona below two solar radii can only be observed remotely. Furthermore techniques must be used to retrieve coronal plasma properties in time and in three dimensional (3D) space. Solar Orbiter will run complex observation campaigns that provide interesting opportunities to maximise the likelihood of linking IS data to their source region near the Sun. Several RS instruments can be directed to specific targets situated on the solar disk just days before data acquisition. To compare IS and RS, data we must improve our understanding of how heliospheric probes magnetically connect to the solar disk.
Aims: The aim of the present paper is to briefly review how the current modelling of the Sun and its atmosphere can support Solar Orbiter science. We describe the results of a community-led effort by European Space Agency's Modelling and Data Analysis Working Group (MADAWG) to develop different models, tools, and techniques deemed necessary to test different theories for the physical processes that may occur in the solar plasma. The focus here is on the large scales and little is described with regards to kinetic processes. To exploit future IS and RS data fully, many techniques have been adapted to model the evolving 3D solar magneto-plasma from the solar interior to the solar wind. A particular focus in the paper is placed on techniques that can estimate how Solar Orbiter will connect magnetically through the complex coronal magnetic fields to various photospheric and coronal features in support of spacecraft operations and future scientific studies.
Methods: Recent missions such as STEREO, provided great opportunities for RS, IS, and multi-spacecraft studies. We summarise the achievements and highlight the challenges faced during these investigations, many of which motivated the Solar Orbiter mission. We present the new tools and techniques developed by the MADAWG to support the science operations and the analysis of the data from the many instruments on Solar Orbiter.
Results: This article reviews current modelling and tool developments that ease the comparison of model results with RS and IS data made available by current and upcoming missions. It also describes the modelling strategy to support the science operations and subsequent exploitation of Solar Orbiter data in order to maximise the scientific output of the mission.
Conclusions: The on-going community effort presented in this paper has provided new models and tools necessary to support mission operations as well as the science exploitation of the Solar Orbiter data. The tools and techniques will no doubt evolve significantly as we refine our procedure and methodology during the first year of operations of this highly promising mission. Title: The Solar Orbiter Science Activity Plan. Translating solar and heliospheric physics questions into action Authors: Zouganelis, I.; De Groof, A.; Walsh, A. P.; Williams, D. R.; Müller, D.; St Cyr, O. C.; Auchère, F.; Berghmans, D.; Fludra, A.; Horbury, T. S.; Howard, R. A.; Krucker, S.; Maksimovic, M.; Owen, C. J.; Rodríguez-Pacheco, J.; Romoli, M.; Solanki, S. K.; Watson, C.; Sanchez, L.; Lefort, J.; Osuna, P.; Gilbert, H. R.; Nieves-Chinchilla, T.; Abbo, L.; Alexandrova, O.; Anastasiadis, A.; Andretta, V.; Antonucci, E.; Appourchaux, T.; Aran, A.; Arge, C. N.; Aulanier, G.; Baker, D.; Bale, S. D.; Battaglia, M.; Bellot Rubio, L.; Bemporad, A.; Berthomier, M.; Bocchialini, K.; Bonnin, X.; Brun, A. S.; Bruno, R.; Buchlin, E.; Büchner, J.; Bucik, R.; Carcaboso, F.; Carr, R.; Carrasco-Blázquez, I.; Cecconi, B.; Cernuda Cangas, I.; Chen, C. H. K.; Chitta, L. P.; Chust, T.; Dalmasse, K.; D'Amicis, R.; Da Deppo, V.; De Marco, R.; Dolei, S.; Dolla, L.; Dudok de Wit, T.; van Driel-Gesztelyi, L.; Eastwood, J. P.; Espinosa Lara, F.; Etesi, L.; Fedorov, A.; Félix-Redondo, F.; Fineschi, S.; Fleck, B.; Fontaine, D.; Fox, N. J.; Gandorfer, A.; Génot, V.; Georgoulis, M. K.; Gissot, S.; Giunta, A.; Gizon, L.; Gómez-Herrero, R.; Gontikakis, C.; Graham, G.; Green, L.; Grundy, T.; Haberreiter, M.; Harra, L. K.; Hassler, D. M.; Hirzberger, J.; Ho, G. C.; Hurford, G.; Innes, D.; Issautier, K.; James, A. W.; Janitzek, N.; Janvier, M.; Jeffrey, N.; Jenkins, J.; Khotyaintsev, Y.; Klein, K. -L.; Kontar, E. P.; Kontogiannis, I.; Krafft, C.; Krasnoselskikh, V.; Kretzschmar, M.; Labrosse, N.; Lagg, A.; Landini, F.; Lavraud, B.; Leon, I.; Lepri, S. T.; Lewis, G. R.; Liewer, P.; Linker, J.; Livi, S.; Long, D. M.; Louarn, P.; Malandraki, O.; Maloney, S.; Martinez-Pillet, V.; Martinovic, M.; Masson, A.; Matthews, S.; Matteini, L.; Meyer-Vernet, N.; Moraitis, K.; Morton, R. J.; Musset, S.; Nicolaou, G.; Nindos, A.; O'Brien, H.; Orozco Suarez, D.; Owens, M.; Pancrazzi, M.; Papaioannou, A.; Parenti, S.; Pariat, E.; Patsourakos, S.; Perrone, D.; Peter, H.; Pinto, R. F.; Plainaki, C.; Plettemeier, D.; Plunkett, S. P.; Raines, J. M.; Raouafi, N.; Reid, H.; Retino, A.; Rezeau, L.; Rochus, P.; Rodriguez, L.; Rodriguez-Garcia, L.; Roth, M.; Rouillard, A. P.; Sahraoui, F.; Sasso, C.; Schou, J.; Schühle, U.; Sorriso-Valvo, L.; Soucek, J.; Spadaro, D.; Stangalini, M.; Stansby, D.; Steller, M.; Strugarek, A.; Štverák, Š.; Susino, R.; Telloni, D.; Terasa, C.; Teriaca, L.; Toledo-Redondo, S.; del Toro Iniesta, J. C.; Tsiropoula, G.; Tsounis, A.; Tziotziou, K.; Valentini, F.; Vaivads, A.; Vecchio, A.; Velli, M.; Verbeeck, C.; Verdini, A.; Verscharen, D.; Vilmer, N.; Vourlidas, A.; Wicks, R.; Wimmer-Schweingruber, R. F.; Wiegelmann, T.; Young, P. R.; Zhukov, A. N. Bibcode: 2020A&A...642A...3Z Altcode: 2020arXiv200910772Z Solar Orbiter is the first space mission observing the solar plasma both in situ and remotely, from a close distance, in and out of the ecliptic. The ultimate goal is to understand how the Sun produces and controls the heliosphere, filling the Solar System and driving the planetary environments. With six remote-sensing and four in-situ instrument suites, the coordination and planning of the operations are essential to address the following four top-level science questions: (1) What drives the solar wind and where does the coronal magnetic field originate?; (2) How do solar transients drive heliospheric variability?; (3) How do solar eruptions produce energetic particle radiation that fills the heliosphere?; (4) How does the solar dynamo work and drive connections between the Sun and the heliosphere? Maximising the mission's science return requires considering the characteristics of each orbit, including the relative position of the spacecraft to Earth (affecting downlink rates), trajectory events (such as gravitational assist manoeuvres), and the phase of the solar activity cycle. Furthermore, since each orbit's science telemetry will be downloaded over the course of the following orbit, science operations must be planned at mission level, rather than at the level of individual orbits. It is important to explore the way in which those science questions are translated into an actual plan of observations that fits into the mission, thus ensuring that no opportunities are missed. First, the overarching goals are broken down into specific, answerable questions along with the required observations and the so-called Science Activity Plan (SAP) is developed to achieve this. The SAP groups objectives that require similar observations into Solar Orbiter Observing Plans, resulting in a strategic, top-level view of the optimal opportunities for science observations during the mission lifetime. This allows for all four mission goals to be addressed. In this paper, we introduce Solar Orbiter's SAP through a series of examples and the strategy being followed. Title: Energy and helicity fluxes in line-tied eruptive simulations Authors: Linan, L.; Pariat, É.; Aulanier, G.; Moraitis, K.; Valori, G. Bibcode: 2020A&A...636A..41L Altcode: 2020arXiv200301698L Context. Conservation properties of magnetic helicity and energy in the quasi-ideal and low-β solar corona make these two quantities relevant for the study of solar active regions and eruptions.
Aims: Based on a decomposition of the magnetic field into potential and nonpotential components, magnetic energy and relative helicity can both also be decomposed into two quantities: potential and free energies, and volume-threading and current-carrying helicities. In this study, we perform a coupled analysis of their behaviors in a set of parametric 3D magnetohydrodynamic (MHD) simulations of solar-like eruptions.
Methods: We present the general formulations for the time-varying components of energy and helicity in resistive MHD. We calculated them numerically with a specific gauge, and compared their behaviors in the numerical simulations, which differ from one another by their imposed boundary-driving motions. Thus, we investigated the impact of different active regions surface flows on the development of the energy and helicity-related quantities.
Results: Despite general similarities in their overall behaviors, helicities and energies display different evolutions that cannot be explained in a unique framework. While the energy fluxes are similar in all simulations, the physical mechanisms that govern the evolution of the helicities are markedly distinct from one simulation to another: the evolution of volume-threading helicity can be governed by boundary fluxes or helicity transfer, depending on the simulation.
Conclusions: The eruption takes place for the same value of the ratio of the current-carrying helicity to the total helicity in all simulations. However, our study highlights that this threshold can be reached in different ways, with different helicity-related processes dominating for different photospheric flows. This means that the details of the pre-eruptive dynamics do not influence the eruption-onset helicity-related threshold. Nevertheless, the helicity-flux dynamics may be more or less efficient in changing the time required to reach the onset of the eruption. Title: Magnetic Helicity Budget of Solar Active Regions Prolific of Eruptive and Confined Flares Authors: Thalmann, Julia K.; Moraitis, K.; Linan, L.; Pariat, E.; Valori, G.; Dalmasse, K. Bibcode: 2019ApJ...887...64T Altcode: 2019arXiv191006563T We compare the coronal magnetic energy and helicity of two solar active regions (ARs), prolific in major eruptive (AR 11158) and confined (AR 12192) flaring, and analyze the potential of deduced proxies to forecast upcoming flares. Based on nonlinear force-free (NLFF) coronal magnetic field models with a high degree of solenoidality, and applying three different computational methods to investigate the coronal magnetic helicity, we are able to draw conclusions with a high level of confidence. Based on real observations of two solar ARs we checked trends regarding the potential eruptivity of the active-region corona, as suggested earlier in works that were based on numerical simulations, or solar observations. Our results support that the ratio of current-carrying to total helicity, | {H}{{J}}| /| {H}{ \mathcal V }| , shows a strong ability to indicate the eruptive potential of a solar AR. However, | {H}{{J}}| /| {H}{ \mathcal V }| does not seem to be indicative for the magnitude or type of an upcoming flare (confined or eruptive). Interpreted in the context of earlier observational studies, our findings furthermore support that the total relative helicity normalized to the magnetic flux at the NLFF model’s lower boundary, {H}{ \mathcal V }/{φ }2, represents no indicator for the eruptivity. Title: Magnetic helicity and eruptivity in active region 12673 Authors: Moraitis, K.; Sun, X.; Pariat, É.; Linan, L. Bibcode: 2019A&A...628A..50M Altcode: 2019arXiv190706365M Context. In September 2017, the largest X-class flare of solar cycle 24 occurred from the most active region (AR) of this cycle, AR 12673. This AR attracted much interest because of its unique morphological and evolution characteristics. Among the parameters that were examined in the AR was magnetic helicity, but either only approximately, or intermittently, or both.
Aims: We here study the evolution of the relative magnetic helicity and of the two components of its decomposition, the non-potential, and the volume-threading one, in the time interval around the highest activity of AR 12673. We especially focus on the ratio of the non-potential to total helicity, which has recently been proposed as an indicator of AR eruptivity.
Methods: We first approximated the coronal magnetic field of the AR with two different optimization-based extrapolation procedures, and chose the method that produced the most reliable helicity value at each instant. Moreover, in one of these methods, we weighted the optimization by the uncertainty estimates derived from the Helioseismic and Magnetic Imager (HMI) instrument for the first time. We then followed an accurate method to compute all quantities of interest.
Results: The first observational determination of the evolution of the non-potential to total helicity ratio seems to confirm the quality it has in indicating eruptivity. This ratio increased before the major flares of AR 12673 and afterwards relaxed to lower values. Additionally, we discuss the evolution patterns of the various helicity and energy budgets of AR 12673 and compare them with results from other works. Title: On the Reliability of Magnetic Energy and Helicity Computations Based on Nonlinear Force-free Coronal Magnetic Field Models Authors: Thalmann, Julia K.; Linan, L.; Pariat, E.; Valori, G. Bibcode: 2019ApJ...880L...6T Altcode: 2019arXiv190701179T We demonstrate the sensitivity of magnetic energy and helicity computations regarding the quality of the underlying coronal magnetic field model. We apply the method of Wiegelmann & Inhester to a series of Solar Dynamics Observatory/Helioseismic and Magnetic Imager vector magnetograms, and discuss nonlinear force-free (NLFF) solutions based on two different sets of the free model parameters. The two time series differ from each other concerning their force-free and solenoidal quality. Both force- and divergence-freeness are required for a consistent NLFF solution. Full satisfaction of the solenoidal property is inherent in the definition of relative magnetic helicity in order to ensure gauge independence. We apply two different magnetic helicity computation methods to both NLFF time series and find that the output is highly dependent on the level to which the NLFF magnetic fields satisfy the divergence-free condition, with the computed magnetic energy being less sensitive than the relative helicity. Proxies for the nonpotentiality and eruptivity derived from both quantities are also shown to depend strongly on the solenoidal property of the NLFF fields. As a reference for future applications, we provide quantitative thresholds for the force- and divergence-freeness, for the assurance of reliable computation of magnetic energy and helicity, and of their related eruptivity proxies. Title: Relative magnetic field line helicity Authors: Moraitis, K.; Pariat, E.; Valori, G.; Dalmasse, K. Bibcode: 2019A&A...624A..51M Altcode: 2019arXiv190210410M Context. Magnetic helicity is an important quantity in studies of magnetized plasmas as it provides a measure of the geometrical complexity of the magnetic field in a given volume. A more detailed description of the spatial distribution of magnetic helicity is given by the field line helicity, which expresses the amount of helicity associated to individual field lines rather than in the full analysed volume.
Aims: Magnetic helicity is not a gauge-invariant quantity in general, unless it is computed with respect to a reference field, yielding the so-called relative magnetic helicity. The field line helicity corresponding to the relative magnetic helicity has only been examined under specific conditions so far. This work aims to define the field line helicity corresponding to relative magnetic helicity in the most general way. In addition to its general form, we provide the expression for the relative magnetic field line helicity in a few commonly used gauges, and reproduce known results as a limit of our general formulation.
Methods: By starting from the definition of relative magnetic helicity, we derived the corresponding field line helicity, and we noted the assumptions on which it is based.
Results: We checked that the developed quantity reproduces relative magnetic helicity by using three different numerical simulations. For these cases we also show the morphology of field line helicity in the volume, and on the photospheric plane. As an application to solar situations, we compared the morphology of field line helicity on the photosphere with that of the connectivity-based helicity flux density in two reconstructions of an active region's magnetic field. We discuss how the derived relative magnetic field line helicity has a wide range of applications, notably in solar physics and magnetic reconnection studies. Title: Time Variations of the Nonpotential and Volume-threading Magnetic Helicities Authors: Linan, L.; Pariat, É.; Moraitis, K.; Valori, G.; Leake, J. Bibcode: 2018ApJ...865...52L Altcode: 2018arXiv180903765L Relative magnetic helicity is a gauge-invariant quantity suitable for the study of the magnetic helicity content of heliospheric plasmas. Relative magnetic helicity can be decomposed uniquely into two gauge-invariant quantities, the magnetic helicity of the nonpotential component of the field and a complementary volume-threading helicity. Recent analysis of numerical experiments simulating the generation of solar eruptions have shown that the ratio of the nonpotential helicity to the total relative helicity is a clear marker of the eruptivity of the magnetic system, and that the high value of that quantity could be a sufficient condition for the onset of the instability generating the eruptions. The present study introduces the first analytical examination of the time variations of these nonpotential and volume-threading helicities. The validity of the analytical formulae derived are confirmed with analysis of 3D magnetohydrodynamics (MHD) simulations of solar coronal dynamics. Both the analytical investigation and the numerical application show that, unlike magnetic helicity, the nonpotential and the volume-threading helicities are not conserved quantities, even in the ideal MHD regime. A term corresponding to the transformation between the nonpotential and volume-threading helicities frequently dominates their dynamics. This finding has an important consequence for their estimation in the solar corona: unlike with relative helicity, their volume coronal evolution cannot be ascertained by the flux of these quantities through the volume’s boundaries. Only techniques extrapolating the 3D coronal field will enable both the proper study of the nonpotential and volume-threading helicities and the observational analysis of helicity-based solar-eruptivity proxies. Title: Threshold of Non-potential Magnetic Helicity Ratios at the Onset of Solar Eruptions Authors: Zuccarello, F. P.; Pariat, E.; Valori, G.; Linan, L. Bibcode: 2018ApJ...863...41Z Altcode: 2018arXiv180700532Z The relative magnetic helicity is a quantity that is often used to describe the level of entanglement of non-isolated magnetic fields, such as the magnetic field of solar active regions. The aim of this paper is to investigate how different kinds of photospheric boundary flows accumulate relative magnetic helicity in the corona and if and how well magnetic-helicity-related quantities identify the onset of an eruption. We use a series of three-dimensional, parametric magnetohydrodynamic simulations of the formation and eruption of magnetic flux ropes. All the simulations are performed on the same grid, using the same parameters, but they are characterized by different driving photospheric flows, i.e., shearing, convergence, stretching, and peripheral- and central- dispersion flows. For each of the simulations, the instant of the onset of the eruption is carefully identified by using a series of relaxation runs. We find that magnetic energy and total relative helicity are mostly injected when shearing flows are applied at the boundary, while the magnetic energy and helicity associated with the coronal electric currents increase regardless of the kind of photospheric flows. We also find that, at the onset of the eruptions, the ratio between the non-potential magnetic helicity and the total relative magnetic helicity has the same value for all the simulations, suggesting the existence of a threshold in this quantity. Such a threshold is not observed for other quantities as, for example, those related to the magnetic energy. Title: Computation of Relative Magnetic Helicity in Spherical Coordinates Authors: Moraitis, Kostas; Pariat, Étienne; Savcheva, Antonia; Valori, Gherardo Bibcode: 2018SoPh..293...92M Altcode: 2018arXiv180603011M Magnetic helicity is a quantity of great importance in solar studies because it is conserved in ideal magnetohydrodynamics. While many methods for computing magnetic helicity in Cartesian finite volumes exist, in spherical coordinates, the natural coordinate system for solar applications, helicity is only treated approximately. We present here a method for properly computing the relative magnetic helicity in spherical geometry. The volumes considered are finite, of shell or wedge shape, and the three-dimensional magnetic field is considered to be fully known throughout the studied domain. Testing of the method with well-known, semi-analytic, force-free magnetic-field models reveals that it has excellent accuracy. Further application to a set of nonlinear force-free reconstructions of the magnetic field of solar active regions and comparison with an approximate method used in the past indicates that the proposed method can be significantly more accurate, thus making our method a promising tool in helicity studies that employ spherical geometry. Additionally, we determine and discuss the applicability range of the approximate method. Title: Studying the Transfer of Magnetic Helicity in Solar Active Regions with the Connectivity-based Helicity Flux Density Method Authors: Dalmasse, K.; Pariat, É.; Valori, G.; Jing, J.; Démoulin, P. Bibcode: 2018ApJ...852..141D Altcode: 2017arXiv171204691D In the solar corona, magnetic helicity slowly and continuously accumulates in response to plasma flows tangential to the photosphere and magnetic flux emergence through it. Analyzing this transfer of magnetic helicity is key for identifying its role in the dynamics of active regions (ARs). The connectivity-based helicity flux density method was recently developed for studying the 2D and 3D transfer of magnetic helicity in ARs. The method takes into account the 3D nature of magnetic helicity by explicitly using knowledge of the magnetic field connectivity, which allows it to faithfully track the photospheric flux of magnetic helicity. Because the magnetic field is not measured in the solar corona, modeled 3D solutions obtained from force-free magnetic field extrapolations must be used to derive the magnetic connectivity. Different extrapolation methods can lead to markedly different 3D magnetic field connectivities, thus questioning the reliability of the connectivity-based approach in observational applications. We address these concerns by applying this method to the isolated and internally complex AR 11158 with different magnetic field extrapolation models. We show that the connectivity-based calculations are robust to different extrapolation methods, in particular with regard to identifying regions of opposite magnetic helicity flux. We conclude that the connectivity-based approach can be reliably used in observational analyses and is a promising tool for studying the transfer of magnetic helicity in ARs and relating it to their flaring activity. Title: The Next Level in Automated Solar Flare Forecasting: the EU FLARECAST Project Authors: Georgoulis, M. K.; Bloomfield, D.; Piana, M.; Massone, A. M.; Gallagher, P.; Vilmer, N.; Pariat, E.; Buchlin, E.; Baudin, F.; Csillaghy, A.; Soldati, M.; Sathiapal, H.; Jackson, D.; Alingery, P.; Argoudelis, V.; Benvenuto, F.; Campi, C.; Florios, K.; Gontikakis, C.; Guennou, C.; Guerra, J. A.; Kontogiannis, I.; Latorre, V.; Murray, S.; Park, S. H.; Perasso, A.; Sciacchitano, F.; von Stachelski, S.; Torbica, A.; Vischi, D. Bibcode: 2017AGUFMSA21C..07G Altcode: We attempt an informative description of the Flare Likelihood And Region Eruption Forecasting (FLARECAST) project, European Commission's first large-scale investment to explore the limits of reliability and accuracy achieved for the forecasting of major solar flares. We outline the consortium, top-level objectives and first results of the project, highlighting the diversity and fusion of expertise needed to deliver what was promised. The project's final product, featuring an openly accessible, fully modular and free to download flare forecasting facility will be delivered in early 2018. The project's three objectives, namely, science, research-to-operations and dissemination / communication, are also discussed: in terms of science, we encapsulate our close-to-final assessment on how close (or far) are we from a practically exploitable solar flare forecasting. In terms of R2O, we briefly describe the architecture of the FLARECAST infrastructure that includes rigorous validation for each forecasting step. From the three different communication levers of the project we finally focus on lessons learned from the two-way interaction with the community of stakeholders and governmental organizations. The FLARECAST project has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No. 640216. Title: Flux rope, hyperbolic flux tube, and late extreme ultraviolet phases in a non-eruptive circular-ribbon flare Authors: Masson, Sophie; Pariat, Étienne; Valori, Gherardo; Deng, Na; Liu, Chang; Wang, Haimin; Reid, Hamish Bibcode: 2017A&A...604A..76M Altcode: 2017arXiv170401450M Context. The dynamics of ultraviolet (UV) emissions during solar flares provides constraints on the physical mechanisms involved in the trigger and the evolution of flares. In particular it provides some information on the location of the reconnection sites and the associated magnetic fluxes. In this respect, confined flares are far less understood than eruptive flares generating coronal mass ejections.
Aims: We present a detailed study of a confined circular flare dynamics associated with three UV late phases in order to understand more precisely which topological elements are present and how they constrain the dynamics of the flare.
Methods: We perform a non-linear force-free field extrapolation of the confined flare observed with the Helioseismic and Magnetic Imager (HMI) and Atmospheric Imaging Assembly (AIA) instruments on board Solar Dynamics Observatory (SDO). From the 3D magnetic field we compute the squashing factor and we analyse its distribution. Conjointly, we analyse the AIA extreme ultraviolet (EUV) light curves and images in order to identify the post-flare loops, and their temporal and thermal evolution. By combining the two analyses we are able to propose a detailed scenario that explains the dynamics of the flare.
Results: Our topological analysis shows that in addition to a null-point topology with the fan separatrix, the spine lines and its surrounding quasi-separatix layer (QSL) halo (typical for a circular flare), a flux rope and its hyperbolic flux tube (HFT) are enclosed below the null. By comparing the magnetic field topology and the EUV post-flare loops we obtain an almost perfect match between the footpoints of the separatrices and the EUV 1600 Å ribbons and between the HFT field line footpoints and bright spots observed inside the circular ribbons. We show, for the first time in a confined flare, that magnetic reconnection occurred initially at the HFT below the flux rope. Reconnection at the null point between the flux rope and the overlying field is only initiated in a second phase. In addition, we showed that the EUV late phase observed after the main flare episode is caused by the cooling loops of different length which have all reconnected at the null point during the impulsive phase.
Conclusions: Our analysis shows in one example that flux ropes are present in null-point topology not only for eruptive and jet events, but also for confined flares. This allows us to conjecture on the analogies between conditions that govern the generation of jets, confined flares or eruptive flares.

A movie is available at http://www.aanda.org Title: Studying the transfer of magnetic helicity in solar active regions Authors: Dalmasse, Kevin; Valori, Gherardo; Jing, Ju; Pariat, Etienne; Demoulin, Pascal Bibcode: 2017SPD....4811206D Altcode: Analyzing the transfer of magnetic helicity in active regions is a key component for understanding the nature of its coronal storage and release and for identifying its role in the coronal dynamics of active regions. We recently developed a method for studying the photospheric flux of magnetic helicity in both 2D and 3D. The method takes into account the 3D nature of magnetic helicity by explicitly using knowledge of the magnetic field connectivity. Since the coronal magnetic field in active regions is not measured, we rely on the non-unique 3D solution obtained from force-free coronal magnetic field extrapolations to derive the magnetic field connectivity. In this poster, we apply the method to the complex and highly-flaring active region NOAA 11158 using the magnetic field connectivity derived from different force-free extrapolation models and implementations. We show that the calculations of photospheric flux of magnetic helicity are robust to different extrapolation methods and assumptions, in particular with regards to identifying regions of opposite magnetic helicity flux. Finally, we discuss the implications of our results for tracking the transfer of magnetic helicity in active regions and relate it to their flaring activity. Title: Testing predictors of eruptivity using parametric flux emergence simulations Authors: Guennou, Chloé; Pariat, Etienne; Leake, James E.; Vilmer, Nicole Bibcode: 2017JSWSC...7A..17G Altcode: 2017arXiv170604915G Solar flares and coronal mass ejections (CMEs) are among the most energetic events in the solar system, impacting the near-Earth environment. Flare productivity is empirically known to be correlated with the size and complexity of active regions. Several indicators, based on magnetic field data from active regions, have been tested for flare forecasting in recent years. None of these indicators, or combinations thereof, have yet demonstrated an unambiguous eruption or flare criterion. Furthermore, numerical simulations have been only barely used to test the predictability of these parameters. In this context, we used the 3D parametric magnetohydrodynamic (MHD) numerical simulations of the self-consistent formation of the flux emergence of a twisted flux tube, inducing the formation of stable and unstable magnetic flux ropes of Leake et al. (2013, 2014). We use these numerical simulations to investigate the eruptive signatures observable in various magnetic scalar parameters and provide highlights on data analysis processing. Time series of 2D photospheric-like magnetograms are used from parametric simulations of stable and unstable flux emergence, to compute a list of about 100 different indicators. This list includes parameters previously used for operational forecasting, physical parameters used for the first time, as well as new quantities specifically developed for this purpose. Our results indicate that only parameters measuring the total non-potentiality of active regions associated with magnetic inversion line properties, such as the Falconer parameters Lss, WLss, Lsg, and WLsg, as well as the new current integral WLsc and length Lsc parameters, present a significant ability to distinguish the eruptive cases of the model from the non-eruptive cases, possibly indicating that they are promising flare and eruption predictors. A preliminary study about the effect of noise on the detection of the eruptive signatures is also proposed. Title: Studying the transfer of magnetic helicity in solar active regions Authors: Dalmasse, Kévin; Jing, J.; Pariat, E.; Valori, G.; Démoulin, P. Bibcode: 2017shin.confE.160D Altcode: Analyzing the transfer of magnetic helicity in active regions is a key component for understanding the nature of its coronal storage and release and for identifying its role in the coronal dynamics of active regions. We recently developed a method for studying the photospheric flux of magnetic helicity in both 2D and 3D. The method takes into account the 3D nature of magnetic helicity by explicitly using knowledge of the magnetic field connectivity. Since the coronal magnetic field in active regions is not measured, we rely on the approximate 3D solution obtained from force-free coronal magnetic field extrapolations to derive the magnetic field connectivity. In this poster, we apply the method to the complex and highly-flaring active region NOAA 11158 using the magnetic field connectivity derived from different force-free extrapolation models and implementations. We show that the calculations of photospheric flux of magnetic helicity are robust to different extrapolation methods and assumptions, in particular with regards to identifying regions of opposite magnetic helicity flux. Finally, we discuss the implications of our results for tracking the transfer of magnetic helicity in active regions and relate it to their flaring activity. Title: Analysis and modelling of recurrent solar flares observed with Hinode/EIS on March 9, 2012 Authors: Polito, V.; Del Zanna, G.; Valori, G.; Pariat, E.; Mason, H. E.; Dudík, J.; Janvier, M. Bibcode: 2017A&A...601A..39P Altcode: 2016arXiv161203504P Three homologous C-class flares and one last M-class flare were observed by both the Solar Dynamics Observatory (SDO) and the Hinode EUV Imaging Spectrometer (EIS) in the AR 11429 on March 9, 2012. All the recurrent flares occurred within a short interval of time (less than 4 h), showed very similar plasma morphology and were all confined, until the last one when a large-scale eruption occurred. The C-class flares are characterized by the appearance, at approximatively the same locations, of two bright and compact footpoint sources of ≈3-10 MK evaporating plasma, and a semi-circular ribbon. During all the flares, the continuous brightening of a spine-like hot plasma (≈10 MK) structure is also observed. Spectroscopic observations with Hinode/EIS are used to measure and compare the blueshift velocities in the Fe xxiii emission line and the electron number density at the flare footpoints for each flare. Similar velocities, of the order of 150-200 km s-1, are observed during the C2.0 and C4.7 confined flares, in agreement with the values reported by other authors in the study of the last M1.8 class flare. On the other hand, lower electron number densities and temperatures tend to be observed in flares with lower peak soft X-ray flux. In order to investigate the homologous nature of the flares, we performed a non-linear force-free field (NLFFF) extrapolation of the 3D magnetic field configuration in the corona. The NLFFF extrapolation and the Quasi-Separatrix Layers (QSLs) provide the magnetic field context which explains the location of the kernels, spine-like hot plasma and semi-circular brightenings observed in the (non-eruptive) flares. Given the absence of a coronal null point, we argue that the homologous flares were all generated by the continuous recurrence of bald patch reconnection.

The movie associated to Fig. 2 is available at http://www.aanda.org Title: Relative magnetic helicity as a diagnostic of solar eruptivity Authors: Pariat, E.; Leake, J. E.; Valori, G.; Linton, M. G.; Zuccarello, F. P.; Dalmasse, K. Bibcode: 2017A&A...601A.125P Altcode: 2017arXiv170310562P Context. The discovery of clear criteria that can deterministically describe the eruptive state of a solar active region would lead to major improvements on space weather predictions.
Aims: Using series of numerical simulations of the emergence of a magnetic flux rope in a magnetized coronal, leading either to eruptions or to stable configurations, we test several global scalar quantities for the ability to discriminate between the eruptive and the non-eruptive simulations.
Methods: From the magnetic field generated by the three-dimensional magnetohydrodynamical simulations, we compute and analyze the evolution of the magnetic flux, of the magnetic energy and its decomposition into potential and free energies, and of the relative magnetic helicity and its decomposition.
Results: Unlike the magnetic flux and magnetic energies, magnetic helicities are able to markedly distinguish the eruptive from the non-eruptive simulations. We find that the ratio of the magnetic helicity of the current-carrying magnetic field to the total relative helicity presents the highest values for the eruptive simulations, in the pre-eruptive phase only. We observe that the eruptive simulations do not possess the highest value of total magnetic helicity.
Conclusions: In the framework of our numerical study, the magnetic energies and the total relative helicity do not correspond to good eruptivity proxies. Our study highlights that the ratio of magnetic helicities diagnoses very clearly the eruptive potential of our parametric simulations. Our study shows that magnetic-helicity-based quantities may be very efficient for the prediction of solar eruptions. Title: Magnetic Helicity Estimations in Models and Observations of the Solar Magnetic Field. III. Twist Number Method Authors: Guo, Y.; Pariat, E.; Valori, G.; Anfinogentov, S.; Chen, F.; Georgoulis, M. K.; Liu, Y.; Moraitis, K.; Thalmann, J. K.; Yang, S. Bibcode: 2017ApJ...840...40G Altcode: 2017arXiv170402096G We study the writhe, twist, and magnetic helicity of different magnetic flux ropes, based on models of the solar coronal magnetic field structure. These include an analytical force-free Titov-Démoulin equilibrium solution, non-force-free magnetohydrodynamic simulations, and nonlinear force-free magnetic field models. The geometrical boundary of the magnetic flux rope is determined by the quasi-separatrix layer and the bottom surface, and the axis curve of the flux rope is determined by its overall orientation. The twist is computed by the Berger-Prior formula, which is suitable for arbitrary geometry and both force-free and non-force-free models. The magnetic helicity is estimated by the twist multiplied by the square of the axial magnetic flux. We compare the obtained values with those derived by a finite volume helicity estimation method. We find that the magnetic helicity obtained with the twist method agrees with the helicity carried by the purely current-carrying part of the field within uncertainties for most test cases. It is also found that the current-carrying part of the model field is relatively significant at the very location of the magnetic flux rope. This qualitatively explains the agreement between the magnetic helicity computed by the twist method and the helicity contributed purely by the current-carrying magnetic field. Title: Magnetic helicity estimations in models and observations of the solar magnetic field Authors: Valori, Gherardo; Pariat, Etienne; Anfinogentov, Sergey; Chen, Feng; Georgoulis, Manolis; Guo, Yang; Liu, Yang; Moraitis, Kostas; Thalmann, Julia K.; Yang, Shangbin Bibcode: 2017EGUGA..19.3692V Altcode: Magnetic helicity, as one of the few conserved quantities in magneto-hydrodynamics, is often invoked as the principle driving the generation and structuring of magnetic fields in a variety of environments, from dynamo models in stars and planets, to post-disruption reconfigurations of tokamak's plasmas. Most particularly magnetic helicity has raised the interest of solar physicists, since helicity is suspected to represent a key quantity for the understanding of solar flares and the generation of coronal mass ejections. In recent years, several methods of estimation of magnetic helicity have been proposed and already applied to observations and numerical simulations. However, no systematic comparison of accuracy, mutual consistency, and reliability of such methods has ever been performed. We present the results of the first benchmark of several finite-volume methods in estimating magnetic helicity in 3D test models. In addition to finite volume methods, two additional methods are also included that estimate magnetic helicity based either on the field line's twist, or on the field's values on one boundary and an inferred minimal volume connectivity. The employed model tests range from solutions of the force-free equations to 3D magneto-hydrodynamical numerical simulations. Almost all methods are found to produce the same value of magnetic helicity within few percent in all tests. However, methods show differences in the sensitivity to numerical resolution and to errors in the solenoidal property of input fields. Our benchmark of finite volume methods allows to determine the reliability and precision of estimations of magnetic helicity in practical cases. As a next step, finite volume methods are used to test estimation methods that are based on the flux of helicity through one boundary, in particular for applications to observation-based models of coronal magnetic fields. The ultimate goal is to assess if and how can helicity be meaningfully used as a diagnostic of the evolution of magnetic fields in the solar atmosphere. Title: Blowout jets and impulsive eruptive flares in a bald-patch topology Authors: Chandra, R.; Mandrini, C. H.; Schmieder, B.; Joshi, B.; Cristiani, G. D.; Cremades, H.; Pariat, E.; Nuevo, F. A.; Srivastava, A. K.; Uddin, W. Bibcode: 2017A&A...598A..41C Altcode: 2016arXiv161001918C Context. A subclass of broad extreme ultraviolet (EUV) and X-ray jets, called blowout jets, have become a topic of research since they could be the link between standard collimated jets and coronal mass ejections (CMEs).
Aims: Our aim is to understand the origin of a series of broad jets, some of which are accompanied by flares and associated with narrow and jet-like CMEs.
Methods: We analyze observations of a series of recurrent broad jets observed in AR 10484 on 21-24 October 2003. In particular, one of them occurred simultaneously with an M2.4 flare on 23 October at 02:41 UT (SOLA2003-10-23). Both events were observed by the ARIES Hα Solar Tower-Telescope, TRACE, SOHO, and RHESSI instruments. The flare was very impulsive and followed by a narrow CME. A local force-free model of AR 10484 is the basis to compute its topology. We find bald patches (BPs) at the flare site. This BP topology is present for at least two days before to events. Large-scale field lines, associated with the BPs, represent open loops. This is confirmed by a global potential free source surface (PFSS) model. Following the brightest leading edge of the Hα and EUV jet emission, we can temporarily associate these emissions with a narrow CME.
Results: Considering their characteristics, the observed broad jets appear to be of the blowout class. As the most plausible scenario, we propose that magnetic reconnection could occur at the BP separatrices forced by the destabilization of a continuously reformed flux rope underlying them. The reconnection process could bring the cool flux-rope material into the reconnected open field lines driving the series of recurrent blowout jets and accompanying CMEs.
Conclusions: Based on a model of the coronal field, we compute the AR 10484 topology at the location where flaring and blowout jets occurred from 21 to 24 October 2003. This topology can consistently explain the origin of these events.

The movie associated to Fig. 1 is available at http://www.aanda.org Title: Observational Evidence of Magnetic Reconnection for Brightenings and Transition Region Arcades in IRIS Observations Authors: Zhao, Jie; Schmieder, Brigitte; Li, Hui; Pariat, Etienne; Zhu, Xiaoshuai; Feng, Li; Grubecka, Michalina Bibcode: 2017ApJ...836...52Z Altcode: 2017arXiv170108356Z By using a new method of forced-field extrapolation, we study the emerging flux region AR11850 observed by the Interface Region Imaging Spectrograph and Solar Dynamical Observatory. Our results suggest that the bright points (BPs) in this emerging region exhibit responses in lines formed from the upper photosphere to the transition region, which have relatively similar morphologies. They have an oscillation of several minutes according to the Atmospheric Imaging Assembly data at 1600 and 1700 Å. The ratio between the BP intensities measured in 1600 and 1700 Å filtergrams reveals that these BPs are heated differently. Our analysis of the Helioseismic and Magnetic Imager vector magnetic field and the corresponding topology in AR11850 indicates that the BPs are located at the polarity inversion line and most of them are related to magnetic reconnection or cancelation. The heating of the BPs might be different due to different magnetic topology. We find that the heating due to the magnetic cancelation would be stronger than the case of bald patch reconnection. The plasma density rather than the magnetic field strength could play a dominant role in this process. Based on physical conditions in the lower atmosphere, our forced-field extrapolation shows consistent results between the bright arcades visible in slit-jaw image 1400 Å and the extrapolated field lines that pass through the bald patches. It provides reliable observational evidence for testing the mechanism of magnetic reconnection for the BPs and arcades in the emerging flux region, as proposed in simulation studies. Title: Reconnection-Driven Coronal-Hole Jets with Gravity and Solar Wind Authors: Karpen, J. T.; DeVore, C. R.; Antiochos, S. K.; Pariat, E. Bibcode: 2017ApJ...834...62K Altcode: 2016arXiv160609201K Coronal-hole jets occur ubiquitously in the Sun's coronal holes, at EUV and X-ray bright points associated with intrusions of minority magnetic polarity. The embedded-bipole model for these jets posits that they are driven by explosive, fast reconnection between the stressed closed field of the embedded bipole and the open field of the surrounding coronal hole. Previous numerical studies in Cartesian geometry, assuming uniform ambient magnetic field and plasma while neglecting gravity and solar wind, demonstrated that the model is robust and can produce jet-like events in simple configurations. We have extended these investigations by including spherical geometry, gravity, and solar wind in a nonuniform, coronal hole-like ambient atmosphere. Our simulations confirm that the jet is initiated by the onset of a kink-like instability of the internal closed field, which induces a burst of reconnection between the closed and external open field, launching a helical jet. Our new results demonstrate that the jet propagation is sustained through the outer corona, in the form of a traveling nonlinear Alfvén wave front trailed by slower-moving plasma density enhancements that are compressed and accelerated by the wave. This finding agrees well with observations of white-light coronal-hole jets, and can explain microstreams and torsional Alfvén waves detected in situ in the solar wind. We also use our numerical results to deduce scaling relationships between properties of the coronal source region and the characteristics of the resulting jet, which can be tested against observations. Title: Investigating The Reliability Of Solar Photospheric Eruptivity Proxies. Authors: Guennou, C.; Pariat, E.; Vilmer, N. Bibcode: 2016AGUFMSH11C2236G Altcode: Solar flares and coronal mass ejections (CMEs) are among the most energetic events in the solar system, impacting the near-Earth environment and thus our technologies. The European H2020 research project FLARECAST (Flare Likelihood and Region Eruption Forecasting) aims to develop a fully automated solar flare forecasting system with unmatched accuracy compared to existing facilities. FLARECAST will automatically extract magnetic-field parameters of solar active regions from solar magnetogram and white-light images to produce accurate predictions using the state-of-the-art forecasting techniques based on data-mining and machine learning. Flare productivity is empirically known to be correlated with the size and complexity of active regions. Several parameters, based on magnetic-field data from active regions have been tested in recent years. None of these parameters, or combination of thereof, have yet demonstrated an unambiguous eruption criterion. However, the predictability of these parameters has so far only been tested on observational data and never on controlled-cases, e.g., originating from numerical datasets. In the framework of the FLARECAST explorative research component, we use MHD numerical simulations of the formation of stable and unstable magnetic flux ropes (Leake et al. 2013, 2014) to evaluate the predictive potential of different magnetic parameters. Time series of magnetograms are used from parametric simulations of stable and unstable flux emergence, to compute a list of about 111 different parameters. This list includes parameters previously used for forecasting, as well as parameters used for the first time for this purpose. Our results indicate that only parameters measuring the total non-potentiality of active regions, such as Lssm and Lsgm and WLsg and the total length of the inversion line present significant preflare signatures, probably making them successful flare predictors. Title: Space-weather assets developed by the French space-physics community Authors: Rouillard, A. P.; Pinto, R. F.; Brun, A. S.; Briand, C.; Bourdarie, S.; Dudok De Wit, T.; Amari, T.; Blelly, P. -L.; Buchlin, E.; Chambodut, A.; Claret, A.; Corbard, T.; Génot, V.; Guennou, C.; Klein, K. L.; Koechlin, L.; Lavarra, M.; Lavraud, B.; Leblanc, F.; Lemorton, J.; Lilensten, J.; Lopez-Ariste, A.; Marchaudon, A.; Masson, S.; Pariat, E.; Reville, V.; Turc, L.; Vilmer, N.; Zucarello, F. P. Bibcode: 2016sf2a.conf..297R Altcode: We present a short review of space-weather tools and services developed and maintained by the French space-physics community. They include unique data from ground-based observatories, advanced numerical models, automated identification and tracking tools, a range of space instrumentation and interconnected virtual observatories. The aim of the article is to highlight some advances achieved in this field of research at the national level over the last decade and how certain assets could be combined to produce better space-weather tools exploitable by space-weather centres and customers worldwide. This review illustrates the wide range of expertise developed nationally but is not a systematic review of all assets developed in France. Title: Solar Coronal Jets: Observations, Theory, and Modeling Authors: Raouafi, N. E.; Patsourakos, S.; Pariat, E.; Young, P. R.; Sterling, A. C.; Savcheva, A.; Shimojo, M.; Moreno-Insertis, F.; DeVore, C. R.; Archontis, V.; Török, T.; Mason, H.; Curdt, W.; Meyer, K.; Dalmasse, K.; Matsui, Y. Bibcode: 2016SSRv..201....1R Altcode: 2016arXiv160702108R; 2016SSRv..tmp...31R Coronal jets represent important manifestations of ubiquitous solar transients, which may be the source of significant mass and energy input to the upper solar atmosphere and the solar wind. While the energy involved in a jet-like event is smaller than that of "nominal" solar flares and coronal mass ejections (CMEs), jets share many common properties with these phenomena, in particular, the explosive magnetically driven dynamics. Studies of jets could, therefore, provide critical insight for understanding the larger, more complex drivers of the solar activity. On the other side of the size-spectrum, the study of jets could also supply important clues on the physics of transients close or at the limit of the current spatial resolution such as spicules. Furthermore, jet phenomena may hint to basic process for heating the corona and accelerating the solar wind; consequently their study gives us the opportunity to attack a broad range of solar-heliospheric problems. Title: Magnetic Helicity Estimations in Models and Observations of the Solar Magnetic Field. Part I: Finite Volume Methods Authors: Valori, Gherardo; Pariat, Etienne; Anfinogentov, Sergey; Chen, Feng; Georgoulis, Manolis K.; Guo, Yang; Liu, Yang; Moraitis, Kostas; Thalmann, Julia K.; Yang, Shangbin Bibcode: 2016SSRv..201..147V Altcode: 2016SSRv..tmp...68V; 2016arXiv161002193V Magnetic helicity is a conserved quantity of ideal magneto-hydrodynamics characterized by an inverse turbulent cascade. Accordingly, it is often invoked as one of the basic physical quantities driving the generation and structuring of magnetic fields in a variety of astrophysical and laboratory plasmas. We provide here the first systematic comparison of six existing methods for the estimation of the helicity of magnetic fields known in a finite volume. All such methods are reviewed, benchmarked, and compared with each other, and specifically tested for accuracy and sensitivity to errors. To that purpose, we consider four groups of numerical tests, ranging from solutions of the three-dimensional, force-free equilibrium, to magneto-hydrodynamical numerical simulations. Almost all methods are found to produce the same value of magnetic helicity within few percent in all tests. In the more solar-relevant and realistic of the tests employed here, the simulation of an eruptive flux rope, the spread in the computed values obtained by all but one method is only 3 %, indicating the reliability and mutual consistency of such methods in appropriate parameter ranges. However, methods show differences in the sensitivity to numerical resolution and to errors in the solenoidal property of the input fields. In addition to finite volume methods, we also briefly discuss a method that estimates helicity from the field lines' twist, and one that exploits the field's value at one boundary and a coronal minimal connectivity instead of a pre-defined three-dimensional magnetic-field solution. Title: A model for straight and helical solar jets. II. Parametric study of the plasma beta Authors: Pariat, E.; Dalmasse, K.; DeVore, C. R.; Antiochos, S. K.; Karpen, J. T. Bibcode: 2016A&A...596A..36P Altcode: 2016arXiv160908825P Context. Jets are dynamic, impulsive, well-collimated plasma events that develop at many different scales and in different layers of the solar atmosphere.
Aims: Jets are believed to be induced by magnetic reconnection, a process central to many astrophysical phenomena. Within the solar atmosphere, jet-like events develop in many different environments, e.g., in the vicinity of active regions, as well as in coronal holes, and at various scales, from small photospheric spicules to large coronal jets. In all these events, signatures of helical structure and/or twisting/rotating motions are regularly observed. We aim to establish that a single model can generally reproduce the observed properties of these jet-like events.
Methods: Using our state-of-the-art numerical solver ARMS, we present a parametric study of a numerical tridimensional magnetohydrodynamic (MHD) model of solar jet-like events. Within the MHD paradigm, we study the impact of varying the atmospheric plasma β on the generation and properties of solar-like jets.
Results: The parametric study validates our model of jets for plasma β ranging from 10-3 to 1, typical of the different layers and magnetic environments of the solar atmosphere. Our model of jets can robustly explain the generation of helical solar jet-like events at various β ≤ 1. We introduces the new result that the plasma β modifies the morphology of the helical jet, explaining the different observed shapes of jets at different scales and in different layers of the solar atmosphere.
Conclusions: Our results enable us to understand the energisation, triggering, and driving processes of jet-like events. Our model enables us to make predictions of the impulsiveness and energetics of jets as determined by the surrounding environment, as well as the morphological properties of the resulting jets. Title: Enabling Solar Flare Forecasting at an Unprecedented Level: the FLARECAST Project Authors: Georgoulis, Manolis K.; Pariat, Etienne; Massone, Anna Maria; Vilmer, Nicole; Jackson, David; Buchlin, Eric; Csillaghy, Andre; Bommier, Veronique; Kontogiannis, Ioannis; Gallagher, Peter; Gontikakis, Costis; Guennou, Chloé; Murray, Sophie; Bloomfield, D. Shaun; Alingery, Pablo; Baudin, Frederic; Benvenuto, Federico; Bruggisser, Florian; Florios, Konstantinos; Guerra, Jordan; Park, Sung-Hong; Perasso, Annalisa; Piana, Michele; Sathiapal, Hanna; Soldati, Marco; Von Stachelski, Samuel; Argoudelis, Vangelis; Caminade, Stephane Bibcode: 2016cosp...41E.657G Altcode: We attempt a brief but informative description of the Flare Likelihood And Region Eruption Forecasting (FLARECAST) project, European Commission's first large-scale investment to explore the limits of reliability and accuracy for the forecasting of major solar flares. The consortium, objectives, and first results of the project - featuring an openly accessible, interactive flare forecasting facility by the end of 2017 - will be outlined. In addition, we will refer to the so-called "explorative research" element of project, aiming to connect solar flares with coronal mass ejections (CMEs) and possibly pave the way for CME, or eruptive flare, prediction. We will also emphasize the FLARECAST modus operandi, namely the diversity of expertise within the consortium that independently aims to science, infrastructure development and dissemination, both to stakeholders and to the general public. Concluding, we will underline that the FLARECAST project responds squarely to the joint COSPAR - ILWS Global Roadmap to shield society from the adversities of space weather, addressing its primary goal and, in particular, its Research Recommendations 1, 2 and 4, Teaming Recommendations II and III, and Collaboration Recommendations A, B, and D. The FLARECAST project has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No. 640216. Title: Evolution of flare ribbons, electric currents, and quasi-separatrix layers during an X-class flare Authors: Janvier, M.; Savcheva, A.; Pariat, E.; Tassev, S.; Millholland, S.; Bommier, V.; McCauley, P.; McKillop, S.; Dougan, F. Bibcode: 2016A&A...591A.141J Altcode: 2016arXiv160407241J Context. The standard model for eruptive flares has been extended to three dimensions (3D) in the past few years. This model predicts typical J-shaped photospheric footprints of the coronal current layer, forming at similar locations as the quasi-separatrix layers (QSLs). Such a morphology is also found for flare ribbons observed in the extreme ultraviolet (EUV) band, and in nonlinear force-free field (NLFFF) magnetic field extrapolations and models.
Aims: We study the evolution of the photospheric traces of the current density and flare ribbons, both obtained with the Solar Dynamics Observatory instruments. We aim to compare their morphology and their time evolution, before and during the flare, with the topological features found in a NLFFF model.
Methods: We investigated the photospheric current evolution during the 06 September 2011 X-class flare (SOL2011-09-06T22:20) occurring in NOAA AR 11283 from observational data of the magnetic field obtained with the Helioseismic and Magnetic Imager aboard the Solar Dynamics Observatory. We compared this evolution with that of the flare ribbons observed in the EUV filters of the Atmospheric Imager Assembly. We also compared the observed electric current density and the flare ribbon morphology with that of the QSLs computed from the flux rope insertion method-NLFFF model.
Results: The NLFFF model shows the presence of a fan-spine configuration of overlying field lines, due to the presence of a parasitic polarity, embedding an elongated flux rope that appears in the observations as two parts of a filament. The QSL signatures of the fan configuration appear as a circular flare ribbon that encircles the J-shaped ribbons related to the filament ejection. The QSLs, evolved via a magnetofrictional method, also show similar morphology and evolution as both the current ribbons and the EUV flare ribbons obtained several times during the flare.
Conclusions: For the first time, we propose a combined analysis of the photospheric traces of an eruptive flare, in a complex topology, with direct measurements of electric currents and QSLs from observational data and a magnetic field model. The results, obtained by two different and independent approaches 1) confirm previous results of current increase during the impulsive phase of the flare and 2) show how NLFFF models can capture the essential physical signatures of flares even in a complex magnetic field topology.

A movie associated to Fig. 1 is available in electronic form at http://www.aanda.org Title: Erratum: "Hooked Flare Ribbons and Flux-rope Related QSL Footprints"(2016, ApJ, 823, 62) Authors: Zhao, Jie; Gilchrist, Stuart A.; Aulanier, Guillaume; Schmieder, Brigitte; Pariat, Etienne; Li, Hui Bibcode: 2016ApJ...825...80Z Altcode: No abstract at ADS Title: Evolution of the Topology, Electric Currents, and Ribbons during an X-class Flare Authors: Savcheva, Antonia; Janvier, M.; Pariat, E.; Tassev, S. Bibcode: 2016shin.confE.126S Altcode: The standard model for eruptive flares has in the past few years been extended to 3D. It predicts typical J-shaped photospheric footprints of the coronal current layer, forming at similar locations as the Quasi-Separatrix Layers (QSLs). Such a morphology is also found for flare ribbons observed in EUV, as well as in non-linear force-free field (NLFFF) magnetic field extrapolations and models. We study the evolution of the photospheric traces of the current density and the flare ribbons, both obtained with SDO instruments. We aim at comparing their morphology and their time evolution, before and during the flare, with the topological features found in a NLFFF and an unstable magnetic field model. For this purpose we investigate the photospheric current evolution during the 06 September 2011 X-class flare occurring in NOAA AR11283 from observational data of the magnetic field obtained with HMI. This evolution is compared with that of the flare ribbons observed with AIA. We also compare the observed electric current density and the flare ribbon morphology with that of the QSLs computed from magnetic field models obtained from the the flux rope insertion method. Both the NLFFF and the unstable (eruptive) model show the presence of a fan-spine configuration of overlying field lines, due to the presence of a parasitic polarity, embedding an elongated flux rope that appears in the observations as two parts of a filament. The magnetofrictional evolution of the unstable model tell a consistent story of the filament eruption in which topology plays an important role. The photospheric QSL traces of the fan configuration appear as an elongated flare ribbon that encircles the J-shaped ribbons related to the filament ejection. The QSLs, evolved via a magnetofrictional method, also show similar morphology and evolution as both the current ribbons and the EUV flare ribbons obtained at several times during the flare. For the first time, we propose a combined analysis of the photospheric traces of an eruptive flare, in a complex topology, with direct measurements of electric currents and QSLs from observational data and a magnetic field model. The results, obtained by two different and independent approaches, 1) confirm previous results of current increase during the impulsive phase of the flare, 2) show how NLFFF extrapolations can capture the essential physical signatures of flares even in a complex magnetic field topology. Title: Hooked Flare Ribbons and Flux-rope-related QSL Footprints Authors: Zhao, Jie; Gilchrist, Stuart A.; Aulanier, Guillaume; Schmieder, Brigitte; Pariat, Etienne; Li, Hui Bibcode: 2016ApJ...823...62Z Altcode: 2016arXiv160307563Z We studied the magnetic topology of active region 12158 on 2014 September 10 and compared it with the observations before and early in the flare that begins at 17:21 UT (SOL2014-09-10T17:45:00). Our results show that the sigmoidal structure and flare ribbons of this active region observed by the Solar Dynamics Observatory/Atmospheric Imaging Assembly can be well reproduced from a Grad-Rubin nonlinear force-free field extrapolation method. Various inverse-S- and inverse-J-shaped magnetic field lines, which surround a coronal flux rope, coincide with the sigmoid as observed in different extreme-ultraviolet wavelengths, including its multithreaded curved ends. Also, the observed distribution of surface currents in the magnetic polarity where it was not prescribed is well reproduced. This validates our numerical implementation and setup of the Grad-Rubin method. The modeled double inverse-J-shaped quasi-separatrix layer (QSL) footprints match the observed flare ribbons during the rising phase of the flare, including their hooked parts. The spiral-like shape of the latter may be related to a complex pre-eruptive flux rope with more than one turn of twist, as obtained in the model. These ribbon-associated flux-rope QSL footprints are consistent with the new standard flare model in 3D, with the presence of a hyperbolic flux tube located below an inverse-teardrop-shaped coronal QSL. This is a new step forward forecasting the locations of reconnection and ribbons in solar flares and the geometrical properties of eruptive flux ropes. Title: Evolution of the Topology, Electric Currents, and Ribbons during an X-class Flare Authors: Savcheva, Antonia; Janvier, Miho; Pariat, Etienne Bibcode: 2016SPD....4740101S Altcode: The standard model for eruptive flares has in the past few years been extended to 3D. It predicts typical J-shaped photospheric footprints of the coronal current layer, forming at similar locations as the Quasi-Separatrix Layers (QSLs). We study the evolution of the photospheric traces of the current density and the flare ribbons observed with SDO. We aim at comparing their morphology and their time evolution, before and during the flare, with the topological features found in a magnetic field model. For this purpose we investigate the photospheric current evolution during the 6 Sep 2011 X-class flare occurring in AR11283 from observational data of the magnetic field obtained with HMI. This evolution is compared with that of the flare ribbons observed with AIA. We also compare the observed electric current density and the flare ribbon morphology with that of the QSLs computed from magnetic field models obtained from the the flux rope insertion method. Both the NLFFF and the unstable (eruptive) model show the presence of a fan-spine configuration of overlying field lines, due to the presence of a parasitic polarity, embedding in elongated flux rope that appears in the observations as two parts of a filament. The magnetofrictional evolution of the unstable model tells a consistent story of the filament eruption in which topology plays an important role. The photospheric QSL traces of the fan configuration appear as an elongated flare ribbon that encircles the J-shaped ribbons related to the filament ejection. The QSLs, evolved via a magnetofrictional method, also show similar morphology and evolution as both the current ribbons and the EUV flare ribbons obtained at several times during the flare. For the first time, we propose a combined analysis of the photospheric traces of an eruptive flare, in a complex topology, with direct measurements of electric currents and QSLs from observational data and a magnetic field model. The results obtained by two independent approaches confirm previous results and show how NLFFF models can capture the essential physical signatures of flares even in a complex magnetic field topology. Title: The Relation between Solar Eruption Topologies and Observed Flare Features. II. Dynamical Evolution Authors: Savcheva, A.; Pariat, E.; McKillop, S.; McCauley, P.; Hanson, E.; Su, Y.; DeLuca, E. E. Bibcode: 2016ApJ...817...43S Altcode: A long-established goal of solar physics is to build understanding of solar eruptions and develop flare and coronal mass ejection (CME) forecasting models. In this paper, we continue our investigation of nonlinear forces free field (NLFFF) models by comparing topological properties of the solutions to the evolution of the flare ribbons. In particular, we show that data-constrained NLFFF models of three erupting sigmoid regions (SOL2010-04-08, SOL2010-08-07, and SOL2012-05-12) built to reproduce the active region magnetic field in the pre-flare state can be rendered unstable and the subsequent sequence of unstable solutions produces quasi-separatrix layers that match the flare ribbon evolution as observed by SDO/AIA. We begin with a best-fit equilibrium model for the pre-flare active region. We then add axial flux to the flux rope in the model to move it across the stability boundary. At this point, the magnetofrictional code no longer converges to an equilibrium solution. The flux rope rises as the solutions are iterated. We interpret the sequence of magnetofrictional steps as an evolution of the active region as the flare/CME begins. The magnetic field solutions at different steps are compared with the flare ribbons. The results are fully consistent with the three-dimensional extension of the standard flare/CME model. Our ability to capture essential topological features of flaring active regions with a non-dynamic magnetofrictional code strongly suggests that the pre-flare, large-scale topological structures are preserved as the flux rope becomes unstable and lifts off. Title: A Circular-ribbon Solar Flare Following an Asymmetric Filament Eruption Authors: Liu, Chang; Deng, Na; Liu, Rui; Lee, Jeongwoo; Pariat, Étienne; Wiegelmann, Thomas; Liu, Yang; Kleint, Lucia; Wang, Haimin Bibcode: 2015ApJ...812L..19L Altcode: 2015arXiv150908414L The dynamic properties of flare ribbons and the often associated filament eruptions can provide crucial information on the flaring coronal magnetic field. This Letter analyzes the GOES-class X1.0 flare on 2014 March 29 (SOL2014-03-29T17:48), in which we found an asymmetric eruption of a sigmoidal filament and an ensuing circular flare ribbon. Initially both EUV images and a preflare nonlinear force-free field model show that the filament is embedded in magnetic fields with a fan-spine-like structure. In the first phase, which is defined by a weak but still increasing X-ray emission, the western portion of the sigmoidal filament arches upward and then remains quasi-static for about five minutes. The western fan-like and the outer spine-like fields display an ascending motion, and several associated ribbons begin to brighten. Also found is a bright EUV flow that streams down along the eastern fan-like field. In the second phase that includes the main peak of hard X-ray (HXR) emission, the filament erupts, leaving behind two major HXR sources formed around its central dip portion and a circular ribbon brightened sequentially. The expanding western fan-like field interacts intensively with the outer spine-like field, as clearly seen in running difference EUV images. We discuss these observations in favor of a scenario where the asymmetric eruption of the sigmoidal filament is initiated due to an MHD instability and further facilitated by reconnection at a quasi-null in corona; the latter is in turn enhanced by the filament eruption and subsequently produces the circular flare ribbon. Title: The Relation between Solar Eruption Topologies and Observed Flare Features. I. Flare Ribbons Authors: Savcheva, A.; Pariat, E.; McKillop, S.; McCauley, P.; Hanson, E.; Su, Y.; Werner, E.; DeLuca, E. E. Bibcode: 2015ApJ...810...96S Altcode: 2015arXiv150603452S In this paper we present a topological magnetic field investigation of seven two-ribbon flares in sigmoidal active regions observed with Hinode, STEREO, and Solar Dynamics Observatory. We first derive the 3D coronal magnetic field structure of all regions using marginally unstable 3D coronal magnetic field models created with the flux rope insertion method. The unstable models have been shown to be a good model of the flaring magnetic field configurations. Regions are selected based on their pre-flare configurations along with the appearance and observational coverage of flare ribbons, and the model is constrained using pre-flare features observed in extreme ultraviolet and X-ray passbands. We perform a topology analysis of the models by computing the squashing factor, Q, in order to determine the locations of prominent quasi-separatrix layers (QSLs). QSLs from these maps are compared to flare ribbons at their full extents. We show that in all cases the straight segments of the two J-shaped ribbons are matched very well by the flux-rope-related QSLs, and the matches to the hooked segments are less consistent but still good for most cases. In addition, we show that these QSLs overlay ridges in the electric current density maps. This study is the largest sample of regions with QSLs derived from 3D coronal magnetic field models, and it shows that the magnetofrictional modeling technique that we employ gives a very good representation of flaring regions, with the power to predict flare ribbon locations in the event of a flare following the time of the model. Title: The Origin of Net Electric Currents in Solar Active Regions Authors: Dalmasse, K.; Aulanier, G.; Démoulin, P.; Kliem, B.; Török, T.; Pariat, E. Bibcode: 2015ApJ...810...17D Altcode: 2015arXiv150705060D There is a recurring question in solar physics regarding whether or not electric currents are neutralized in active regions (ARs). This question was recently revisited using three-dimensional (3D) magnetohydrodynamic (MHD) numerical simulations of magnetic flux emergence into the solar atmosphere. Such simulations showed that flux emergence can generate a substantial net current in ARs. Other sources of AR currents are photospheric horizontal flows. Our aim is to determine the conditions for the occurrence of net versus neutralized currents with this second mechanism. Using 3D MHD simulations, we systematically impose line-tied, quasi-static, photospheric twisting and shearing motions to a bipolar potential magnetic field. We find that such flows: (1) produce both direct and return currents, (2) induce very weak compression currents—not observed in 2.5D—in the ambient field present in the close vicinity of the current-carrying field, and (3) can generate force-free magnetic fields with a net current. We demonstrate that neutralized currents are in general produced only in the absence of magnetic shear at the photospheric polarity inversion line—a special condition that is rarely observed. We conclude that photospheric flows, as magnetic flux emergence, can build up net currents in the solar atmosphere, in agreement with recent observations. These results thus provide support for eruption models based on pre-eruption magnetic fields that possess a net coronal current. Title: Testing magnetic helicity conservation in a solar-like active event Authors: Pariat, E.; Valori, G.; Démoulin, P.; Dalmasse, K. Bibcode: 2015A&A...580A.128P Altcode: 2015arXiv150609013P Context. Magnetic helicity has the remarkable property of being a conserved quantity of ideal magnetohydrodynamics (MHD). Therefore, it could be used as an effective tracer of the magnetic field evolution of magnetized plasmas.
Aims: Theoretical estimations indicate that magnetic helicity is also essentially conserved with non-ideal MHD processes, for example, magnetic reconnection. This conjecture has been barely tested, however, either experimentally or numerically. Thanks to recent advances in magnetic helicity estimation methods, it is now possible to numerically test its dissipation level in general three-dimensional datasets.
Methods: We first revisit the general formulation of the temporal variation of relative magnetic helicity on a fully bounded volume when no hypothesis on the gauge is made. We introduce a method for precisely estimating its dissipation independently of which type of non-ideal MHD processes occurs. For a solar-like eruptive-event simulation, using different gauges, we compare an estimate of the relative magnetic helicity computed in a finite volume with its time-integrated flux through the boundaries. We thus test the conservation and dissipation of helicity.
Results: We provide an upper bound of the real dissipation of magnetic helicity: It is quasi-null during the quasi-ideal MHD phase. Even with magnetic reconnection, the relative dissipation of magnetic helicity is also very low (<2.2%), in particular compared to the relative dissipation of magnetic energy (>30 times higher). We finally illustrate how the helicity-flux terms involving velocity components are gauge dependent, which limits their physical meaning.
Conclusions: Our study paves the way for more extended and diverse tests of the magnetic helicity conservation properties. Our study confirms the central role of helicity in the study of MHD plasmas. For instance, the conservation of helicity can be used to track the evolution of solar magnetic fields from when they form in the solar interior until their detection as magnetic clouds in the interplanetary space.

Appendix A is available in electronic form at http://www.aanda.org Title: The Relation between CME Topologies and Observed Flare Features Authors: Savcheva, Antonia Stefanova; Pariat, E.; MaKillop, S.; McCauley, P.; Hanson, E.; Werner, E.; Su, Y.; DeLuca, E. Bibcode: 2015shin.confE...6S Altcode: A long established goal of solar physics is to build physics-based flare and CME forecasting models. This study, building on the recent successes in non-linear forces free field (NLFFF) modeling and detailed numerical simulations, brings us closer to that goal. We show that data-constrained NLFFF models built to reproduce the active region magnetic field in the pre-flare state can be rendered unstable and the sequence of unstable solutions produce quasi-separatrix layers (QSLs) that reproduce the observed flare ribbons. The results are fully consistant with the 3D extension of the standard flare/CME model. Our ability to capture essential topological features of flaring active regions with non-dynamic magneto-frictional code strongly suggests that the pre-flare, large scale topological structures are preserved as the flux rope becomes unstable and lifts off. Title: Electric current neutralization in solar active regions Authors: Dalmasse, Kévin; Aulanier, Guillaume; Török, Tibor; Démoulin, Pascal; Pariat, Etienne; Kliem, Bernhard Bibcode: 2015TESS....111303D Altcode: There is a recurring question in solar physics of whether or not photospheric vertical electric currents are neutralized in solar active regions, i.e., whether or not the total electric current integrated over a single magnetic polarity of an active region vanishes. While different arguments have been proposed in favor of, or against, the neutralization of electric currents, both theory and observations are still not fully conclusive. Providing the answer to this question is crucial for theoretical models of solar eruptions. Indeed, if currents are neutralized in active regions, then any eruption model based on net - i.e., non-zero - electric currents, such as the torus instability, requires further consideration. We address the question of electric current neutralization in active regions using 3D zero-beta MHD simulations of line-tied, slow photospheric driving motions imposed on an initially potential magnetic field. We compare our results to a recent study of the build-up of coronal electric currents in an MHD simulation of the emergence of a current-neutralized twisted flux tube into the solar atmosphere. Our parametric study shows that, in accordance with the flux emergence simulation, photospheric motions are associated with the formation of both direct and return currents. It further shows that both processes (flux emergence and photospheric flows) can lead to the formation of strong net currents in the solar corona, and that the non-neutralization of electric currents is related to the presence of magnetic shear at the polarity inversion line. We discuss the implications of our results for the observations and for theoretical models of solar eruptions. Title: Magnetic Flux Emergence Along the Solar Cycle Authors: Schmieder, B.; Archontis, V.; Pariat, E. Bibcode: 2015sac..book..227S Altcode: No abstract at ADS Title: Model for straight and helical solar jets. I. Parametric studies of the magnetic field geometry Authors: Pariat, E.; Dalmasse, K.; DeVore, C. R.; Antiochos, S. K.; Karpen, J. T. Bibcode: 2015A&A...573A.130P Altcode: Context. Jets are dynamic, impulsive, well-collimated plasma events developing at many different scales and in different layers of the solar atmosphere.
Aims: Jets are believed to be induced by magnetic reconnection, a process central to many astrophysical phenomena. Studying their dynamics can help us to better understand the processes acting in larger eruptive events (e.g., flares and coronal mass ejections) as well as mass, magnetic helicity, and energy transfer at all scales in the solar atmosphere. The relative simplicity of their magnetic geometry and topology, compared with larger solar active events, makes jets ideal candidates for studying the fundamental role of reconnection in energetic events.
Methods: In this study, using our recently developed numerical solver ARMS, we present several parametric studies of a 3D numerical magneto-hydrodynamic model of solar-jet-like events. We studied the impact of the magnetic field inclination and photospheric field distribution on the generation and properties of two morphologically different types of solar jets, straight and helical, which can account for the observed so-called standard and blowout jets.
Results: Our parametric studies validate our model of jets for different geometric properties of the magnetic configuration. We find that a helical jet is always triggered for the range of parameters we tested. This demonstrates that the 3D magnetic null-point configuration is a very robust structure for the energy storage and impulsive release characteristic of helical jets. In certain regimes determined by magnetic geometry, a straight jet precedes the onset of a helical jet. We show that the reconnection occurring during the straight-jet phase influences the triggering of the helical jet.
Conclusions: Our results allow us to better understand the energization, triggering, and driving processes of straight and helical jets. Our model predicts the impulsiveness and energetics of jets in terms of the surrounding magnetic field configuration. Finally, we discuss the interpretation of the observationally defined standard and blowout jets in the context of our model, as well as the physical factors that determine which type of jet will occur. Title: Magnetic Flux Emergence Along the Solar Cycle Authors: Schmieder, B.; Archontis, V.; Pariat, E. Bibcode: 2014SSRv..186..227S Altcode: 2014SSRv..tmp...47S Flux emergence plays an important role along the solar cycle. Magnetic flux emergence builds sunspot groups and solar activity. The sunspot groups contribute to the large scale behaviour of the magnetic field over the 11 year cycle and the reversal of the North and South magnetic polarity every 22 years. The leading polarity of sunspot groups is opposite in the North and South hemispheres and reverses for each new solar cycle. However the hemispheric rule shows the conservation of sign of the magnetic helicity with positive and negative magnetic helicity in the South and North hemispheres, respectively. MHD models of emerging flux have been developed over the past twenty years but have not yet succeeded to reproduce solar observations. The emergence of flux occurs through plasma layers of very high gradients of pressure and changing of modes from a large β to a low β plasma (<1). With the new armada of high spatial and temporal resolution instruments on the ground and in space, emergence of magnetic flux is observed in tremendous detail and followed during their transit through the upper atmosphere. Signatures of flux emergence in the corona depend on the pre-existing magnetic configuration and on the strength of the emerging flux. We review in this paper new and established models as well as the recent observations. Title: A Topological View at Observed Flare Features: An Extension of the Standard Flare Model to 3D Authors: Savcheva, Antonia; Pariat, Etienne; McKillop, Sean; Hanson, Elizabeth; Su, Yingna; DeLuca, Edward E. Bibcode: 2014AAS...22430301S Altcode: We conduct topology analysis of erupting non-linear force-free field (NLFFF) configurations of eight sigmoidal active regions observed with Hinode/XRT and SDO/AIA. The NLFFF models are computed using the flux rope insertion method and unstable models are utilized to represent the erupting configurations. Topology analysis shows that the quasi-separatrix layers (QSLs) in the chromosphere match well the flare ribbons observed in these regions. In addition, we show that low-lying QSLs associated with the rising flux rope change shape and extent to match the separating flare ribbons as observed by AIA. Post-flare loops are fit well by field lines lying under the generalized X-line at the bottom of the flux rope. We show a correspondence in the evolution of the post-flare loops from a strong-to-weak sheared state and the behavior of the field lines as the flux rope expands in the corona. We show that transient corona holes are associated with the footprints of the flux rope in the low atmosphere. In addition, we compute the reconnected flux in one of the regions and using information from the models constrain how much energy has been released during the event. We use this kind of topology analysis to extend the standard CME/flare model to full 3D and find implications to reconnection in 3D. Title: Electric Currents in Flare Ribbons: Observations and Three-dimensional Standard Model Authors: Janvier, M.; Aulanier, G.; Bommier, V.; Schmieder, B.; Démoulin, P.; Pariat, E. Bibcode: 2014ApJ...788...60J Altcode: 2014arXiv1402.2010J We present for the first time the evolution of the photospheric electric currents during an eruptive X-class flare, accurately predicted by the standard three-dimensional (3D) flare model. We analyze this evolution for the 2011 February 15 flare using Helioseismic and Magnetic Imager/Solar Dynamics Observatory magnetic observations and find that localized currents in J-shaped ribbons increase to double their pre-flare intensity. Our 3D flare model, developed with the OHM code, suggests that these current ribbons, which develop at the location of extreme ultraviolet brightenings seen with Atmospheric Imaging Assembly imagery, are driven by the collapse of the flare's coronal current layer. These findings of increased currents restricted in localized ribbons are consistent with the overall free energy decrease during a flare, and the shapes of these ribbons also give an indication of how twisted the erupting flux rope is. Finally, this study further enhances the close correspondence obtained between the theoretical predictions of the standard 3D model and flare observations, indicating that the main key physical elements are incorporated in the model. Title: Coronal Magnetic Reconnection Driven by CME Expansion—the 2011 June 7 Event Authors: van Driel-Gesztelyi, L.; Baker, D.; Török, T.; Pariat, E.; Green, L. M.; Williams, D. R.; Carlyle, J.; Valori, G.; Démoulin, P.; Kliem, B.; Long, D. M.; Matthews, S. A.; Malherbe, J. -M. Bibcode: 2014ApJ...788...85V Altcode: 2014arXiv1406.3153V Coronal mass ejections (CMEs) erupt and expand in a magnetically structured solar corona. Various indirect observational pieces of evidence have shown that the magnetic field of CMEs reconnects with surrounding magnetic fields, forming, e.g., dimming regions distant from the CME source regions. Analyzing Solar Dynamics Observatory (SDO) observations of the eruption from AR 11226 on 2011 June 7, we present the first direct evidence of coronal magnetic reconnection between the fields of two adjacent active regions during a CME. The observations are presented jointly with a data-constrained numerical simulation, demonstrating the formation/intensification of current sheets along a hyperbolic flux tube at the interface between the CME and the neighboring AR 11227. Reconnection resulted in the formation of new magnetic connections between the erupting magnetic structure from AR 11226 and the neighboring active region AR 11227 about 200 Mm from the eruption site. The onset of reconnection first becomes apparent in the SDO/AIA images when filament plasma, originally contained within the erupting flux rope, is redirected toward remote areas in AR 11227, tracing the change of large-scale magnetic connectivity. The location of the coronal reconnection region becomes bright and directly observable at SDO/AIA wavelengths, owing to the presence of down-flowing cool, dense (1010 cm-3) filament plasma in its vicinity. The high-density plasma around the reconnection region is heated to coronal temperatures, presumably by slow-mode shocks and Coulomb collisions. These results provide the first direct observational evidence that CMEs reconnect with surrounding magnetic structures, leading to a large-scale reconfiguration of the coronal magnetic field. Title: Temporal Evolution of the Magnetic Topology of the NOAA Active Region 11158 Authors: Zhao, Jie; Li, Hui; Pariat, Etienne; Schmieder, Brigitte; Guo, Yang; Wiegelmann, Thomas Bibcode: 2014ApJ...787...88Z Altcode: 2014arXiv1404.5004Z We studied the temporal evolution of the magnetic topology of the active region (AR) 11158 based on the reconstructed three-dimensional magnetic fields in the corona. The non-linear force-free field extrapolation method was applied to the 12 minute cadence data obtained with the Helioseismic and Magnetic Imager on board the Solar Dynamics Observatory during 5 days. By calculating the squashing degree factor Q in the volume, the derived quasi-separatrix layers (QSLs) show that this AR has an overall topology, resulting from a magnetic quadrupole, including a hyperbolic flux tube (HFT) configuration that is relatively stable at the timescale of the flare (~1-2 hr). A strong QSL, which corresponds to some highly sheared arcades that might be related to the formation of a flux rope, is prominent just before the M6.6 and X2.2 flares, respectively. These facts indicate the close relationship between the strong QSL and the high flare productivity of AR 11158. In addition, with a close inspection of the topology, we found a small-scale HFT that has an inverse tear-drop structure above the aforementioned QSL before the X2.2 flare. It indicates the existence of magnetic flux rope at this place. Even though a global configuration (HFT) is recognized in this AR, it turns out that the large-scale HFT only plays a secondary role during the eruption. In conclusion, we dismiss a trigger based on the breakout model and highlight the central role of the flux rope in the related eruption. Title: Magnetic topology of emerging flux regions Authors: Pariat, Etienne Bibcode: 2014cosp...40E2444P Altcode: Coronal magnetic fields structure and governs the dynamics of the solar atmosphere. These magnetic fields are often complex, composed of multiples domains of magnetic-field-lines connectivity. The topology of the magnetic field allows a synthetic description of these complex magnetic field by highlighting the structural elements that are important for the dynamic and the activity of the corona. Topology identifies the key elements where magnetic reconnection will preferentially occurs, and allows to explain and predict the evolution of the coronal plasma. However the topological elements - such as null points, separatrices, separators - do not appear out of thin air. Along with energy, and helicity, the magnetic topology of an active region is build up as the consequence of flux emergence. Some topological elements, such as bald-patches, are even fully part of the mechanism of flux emergence mechanism and drive the evolution and the structuration of the coronal magnetic field as it crosses the lower layer of the solar atmosphere. In the present talk I will therefore review our current understanding of the formation of active region in terms of magnetic topology. I will speak on how the topological structures which are key to solar activity are formed. Meanwhile I'll also discus the topological properties of emerging active region and how topology influences the very process of flux emergence. Title: Constraining magnetic flux emergence from a timeseries of helicitigrams Authors: Dalmasse, Kévin; Pariat, Etienne; Green, Lucie M.; Aulanier, Guillaume; Demoulin, Pascal; Valori, Gherardo Bibcode: 2014cosp...40E.612D Altcode: Magnetic helicity quantifies how globally twisted and/or sheared is the magnetic field in a volume. Observational studies have reported the injection of large amounts of magnetic helicity associated with the emergence of magnetic flux into the solar atmosphere. Because magnetic helicity is conserved in the convection zone, the injection of magnetic helicity into the solar corona reflects the helicity content of emerging magnetic flux tubes. Mapping the photospheric injection of magnetic helicity thus seems to be a key tool for constraining the parameters of the emerging flux tubes in numerical case-studies of observed active regions. We recently developed a method to compute the distribution of magnetic helicity flux. Contrary to previous proxies, this method takes into account the 3D nature of magnetic helicity, and is thus, better-suited to study the distribution of helicity flux. After introducing this method, we will present the results of its application to the NOAA AR 11158. We will show that, the distribution of helicity flux is complex, with patterns of real mixed signals of helicity flux related to the specific topology of the active region's magnetic field. Finally, we will discuss the implications of our results on the evolution and dynamics of this active region. Title: Electric currents in solar active regions Authors: Dalmasse, Kévin; Pariat, Etienne; Kliem, Bernhard; Aulanier, Guillaume; Demoulin, Pascal; Torok, Tibor Bibcode: 2014cosp...40E.613D Altcode: There is a recurring question in solar physics about whether or not photospheric vertical electric currents are neutralized in solar active regions, i.e. if the total electric current integrated over a single photospheric magnetic polarity of an active region vanishes. Different arguments have been proposed in favor of, or against, the neutralization of electric currents, but both theory and observations are still not fully conclusive. The answer to this question has implications for eruption models. Indeed, if currents are neutralized in active regions, then any eruption model based on non-neutralized electric currents, such as the torus instability, would need to be further analyzed. We addressed the question of electric currents neutralization in active regions using 3D zero-beta, line-tied, slow driving motions of an initially potential magnetic field. We compared our results to a recent study of electric currents build-up in a MHD numerical simulation of the emergence of a current-neutralized twisted flux tube. Our parametric analyses show that, as for the emergence, photospheric motions are associated with the formation of both direct and return currents. It further shows that both processes can lead to the formation of strong net currents in the solar corona, and that the non-neutralization of electric currents is related to the presence of magnetic shear at the polarity inversion line. We will discuss the implications of our results for the observations and for the different solar eruption models. Title: Topological study of active region 11158 Authors: Zhao, Jie; Li, Hui; Pariat, Etienne; Schmieder, Brigitte; Guo, Yang; Wiegelmann, Thomas Bibcode: 2014IAUS..300..479Z Altcode: With the cylindrical equal area (CEA) projection data from the Helioseismic and Magnetic Imager (HMI) onboard the Solar Dynamics Observatory (SDO), we reconstructed the three-dimensional (3D) magnetic fields in the corona, using a non-linear force-free field (NLFFF) extrapolation method every 12 minutes during five days, to calculate the squashing degree factor Q in the volume. The results show that this AR has an hyperbolic flux tube (HFT) configuration, a typical topology of quadrupole, which is stable even during the two large flares (M6.6 and X2.2 class flares). Title: Photospheric Injection of Magnetic Helicity: Connectivity-Based Flux Density Method Authors: Dalmasse, K.; Pariat, E.; Démoulin, P.; Aulanier, G. Bibcode: 2014SoPh..289..107D Altcode: 2013arXiv1307.2829D Magnetic helicity quantifies the degree to which the magnetic field in a volume is globally sheared and/or twisted. This quantity is believed to play a key role in solar activity due to its conservation property. Helicity is continuously injected into the corona during the evolution of active regions (ARs). To better understand and quantify the role of magnetic helicity in solar activity, the distribution of magnetic helicity flux in ARs needs to be studied. The helicity distribution can be computed from the temporal evolution of photospheric magnetograms of ARs such as the ones provided by SDO/HMI and Hinode/SOT. Most recent analyses of photospheric helicity flux derived a proxy to the helicity-flux density based on the relative rotation rate of photospheric magnetic footpoints. Although this proxy allows a good estimate of the photospheric helicity flux, it is still not a true helicity flux density because it does not take into account the connectivity of the magnetic field lines. For the first time, we implement a helicity density that takes this connectivity into account. To use it for future observational studies, we tested the method and its precision on several types of models involving different patterns of helicity injection. We also tested it on more complex configurations - from magnetohydrodynamics (MHD) simulations - containing quasi-separatrix layers. We demonstrate that this connectivity-based proxy is best-suited to map the true distribution of photospheric helicity injection. Title: Magnetic reconnection driven by filament eruption in the 7 June 2011 event Authors: van Driel-Gesztelyi, L.; Baker, D.; Török, T.; Pariat, E.; Green, L. M.; Williams, D. R.; Carlyle, J.; Valori, G.; Démoulin, P.; Matthews, S. A.; Kliem, B.; Malherbe, J. -M. Bibcode: 2014IAUS..300..502V Altcode: During an unusually massive filament eruption on 7 June 2011, SDO/AIA imaged for the first time significant EUV emission around a magnetic reconnection region in the solar corona. The reconnection occurred between magnetic fields of the laterally expanding CME and a neighbouring active region. A pre-existing quasi-separatrix layer was activated in the process. This scenario is supported by data-constrained numerical simulations of the eruption. Observations show that dense cool filament plasma was re-directed and heated in situ, producing coronal-temperature emission around the reconnection region. These results provide the first direct observational evidence, supported by MHD simulations and magnetic modelling, that a large-scale re-configuration of the coronal magnetic field takes place during solar eruptions via the process of magnetic reconnection. Title: Twist Accumulation and Topology Structure of a Solar Magnetic Flux Rope Authors: Guo, Y.; Ding, M. D.; Cheng, X.; Zhao, J.; Pariat, E. Bibcode: 2013ApJ...779..157G Altcode: 2013arXiv1311.1883G To study the buildup of a magnetic flux rope before a major flare and coronal mass ejection (CME), we compute the magnetic helicity injection, twist accumulation, and topology structure of the three-dimensional (3D) magnetic field, which is derived by the nonlinear force-free field model. The Extreme-ultraviolet Imaging Telescope on board the Solar and Heliospheric Observatory observed a series of confined flares without any CME before a major flare with a CME at 23:02 UT on 2005 January 15 in active region NOAA 10720. We derive the vector velocity at eight time points from 18:27 UT to 22:20 UT with the differential affine velocity estimator for vector magnetic fields, which were observed by the Digital Vector Magnetograph at Big Bear Solar Observatory. The injected magnetic helicity is computed with the vector magnetic and velocity fields. The helicity injection rate was (- 16.47 ± 3.52) × 1040 Mx2 hr-1. We find that only about 1.8% of the injected magnetic helicity became the internal helicity of the magnetic flux rope, whose twist increasing rate was -0.18 ± 0.08 Turns hr-1. The quasi-separatrix layers (QSLs) of the 3D magnetic field are computed by evaluating the squashing degree, Q. We find that the flux rope was wrapped by QSLs with large Q values, where the magnetic reconnection induced by the continuously injected magnetic helicity further produced the confined flares. We suggest that the flux rope was built up and heated by the magnetic reconnection in the QSLs. Title: The standard flare model in three dimensions. III. Slip-running reconnection properties Authors: Janvier, M.; Aulanier, G.; Pariat, E.; Démoulin, P. Bibcode: 2013A&A...555A..77J Altcode: 2013arXiv1305.4053J Context. A standard model for eruptive flares aims at describing observational 3D features of the reconnecting coronal magnetic field. Extensions to the 2D model require the physical understanding of 3D reconnection processes at the origin of the magnetic configuration evolution. However, the properties of 3D reconnection without null point and separatrices still need to be analyzed.
Aims: We focus on magnetic reconnection associated with the growth and evolution of a flux rope and associated flare loops during an eruptive flare. We aim at understanding the intrinsic characteristics of 3D reconnection in the presence of quasi-separatrix layers (QSLs), how QSL properties are related to the slip-running reconnection mode in general, and how this applies to eruptive flares in particular.
Methods: We studied the slip-running reconnection of field lines in a magnetohydrodynamic simulation of an eruptive flare associated with a torus-unstable flux rope. The squashing degree and the mapping norm are two parameters related to the QSLs. We computed them to investigate their relation with the slip-running reconnection speed of selected field lines.
Results: Field lines associated with the flux rope and the flare loops undergo a continuous series of magnetic reconnection, which results in their super-Alfvénic slipping motion. The time profile of their slippage speed and the space distribution of the mapping norm are shown to be strongly correlated. We find that the motion speed is proportional to the mapping norm. Moreover, this slip-running motion becomes faster as the flux rope expands, since the 3D current layer evolves toward a current sheet, and QSLs to separatrices.
Conclusions: The present analysis extends our understanding of the 3D slip-running reconnection regime. We identified a controlling parameter of the apparent velocity of field lines while they slip-reconnect, enabling the interpretation of the evolution of post flare loops. This work completes the standard model for flares and eruptions by giving its 3D properties. Title: First observational application of a connectivity-based helicity flux density Authors: Dalmasse, K.; Pariat, E.; Valori, G.; Démoulin, P.; Green, L. M. Bibcode: 2013A&A...555L...6D Altcode: 2013arXiv1307.2838D Context. Measuring the magnetic helicity distribution in the solar corona can help in understanding the trigger of solar eruptive events because magnetic helicity is believed to play a key role in solar activity due to its conservation property.
Aims: A new method for computing the photospheric distribution of the helicity flux was recently developed. This method takes into account the magnetic field connectivity whereas previous methods were based on photospheric signatures only. This novel method maps the true injection of magnetic helicity in active regions. We applied this method for the first time to an observed active region, NOAA 11158, which was the source of intense flaring activity.
Methods: We used high-resolution vector magnetograms from the SDO/HMI instrument to compute the photospheric flux transport velocities and to perform a nonlinear force-free magnetic field extrapolation. We determined and compared the magnetic helicity flux distribution using a purely photospheric as well as a connectivity-based method.
Results: While the new connectivity-based method confirms the mixed pattern of the helicity flux in NOAA 11158, it also reveals a different, and more correct, distribution of the helicity injection. This distribution can be important for explaining the likelihood of an eruption from the active region.
Conclusions: The connectivity-based approach is a robust method for computing the magnetic helicity flux, which can be used to study the link between magnetic helicity and eruptivity of observed active regions. Title: A Topological View at CME/flare Features with Application to 3D Reconnection Authors: Savcheva, Antonia Stefanova; Pariat, E.; van Ballegooijen, A.; Mckillop, S.; Hanson, E.; DeLuca, Y. Su E. Bibcode: 2013shin.confE.143S Altcode: We conduct topology analysis of erupting non-linear force-free configurations of five sigmoidal active regions observed with Hinode/XRT and SDO/AIA. The models are computed using the flux rope insertion method and unstable models are utilized to represent the erupting configurations. Topology analysis shows that the quasi-separatrix layers (QSLs) in the chromosphere match well the flare ribbons observed in these regions. Post-flare loops are also matched well by field lines lying under the X-line in the models. In addition, we show that low-lying QSLs associated with the rising flux rope change shape and extent to match the separating flare ribbons in the images. We use this kind of topology analysis to extend the standard CME/flare model to full 3D in observed configurations and find implications to reconnection in 3D. Title: Study of magnetic flux emergence and related activity in active region NOAA 10314 Authors: Poisson, Mariano; López Fuentes, Marcelo; Mandrini, Cristina H.; Démoulin, Pascal; Pariat, Etienne Bibcode: 2013AdSpR..51.1834P Altcode: We study the extremely complex active region (AR) NOAA 10314, that was observed from March 13-19, 2003. This AR was the source of several energetic events, among them two major (X class) flares, along a few days. We follow the evolution of this AR since the very first stages of its emergence. From the photospheric evolution of the magnetic polarities observed with SOHO/MDI we infer the morphology of the flux tube that originates the AR. Using a computation technique that combines Local Correlation Tracking with magnetic induction constrains, we compute the rate of magnetic helicity injection at the photosphere during the observed evolution. From our results we conclude that the AR originated by the emergence of a severely deformed magnetic flux tube having a dominantly positive magnetic helicity. Title: Accuracy of magnetic energy computations Authors: Valori, G.; Démoulin, P.; Pariat, E.; Masson, S. Bibcode: 2013A&A...553A..38V Altcode: 2013arXiv1303.6773V Context. For magnetically driven events, the magnetic energy of the system is the prime energy reservoir that fuels the dynamical evolution. In the solar context, the free energy (i.e., the energy in excess of the potential field energy) is one of the main indicators used in space weather forecasts to predict the eruptivity of active regions. A trustworthy estimation of the magnetic energy is therefore needed in three-dimensional (3D) models of the solar atmosphere, e.g., in coronal fields reconstructions or numerical simulations.
Aims: The expression of the energy of a system as the sum of its potential energy and its free energy (Thomson's theorem) is strictly valid when the magnetic field is exactly solenoidal. For numerical realizations on a discrete grid, this property may be only approximately fulfilled. We show that the imperfect solenoidality induces terms in the energy that can lead to misinterpreting the amount of free energy present in a magnetic configuration.
Methods: We consider a decomposition of the energy in solenoidal and nonsolenoidal parts which allows the unambiguous estimation of the nonsolenoidal contribution to the energy. We apply this decomposition to six typical cases broadly used in solar physics. We quantify to what extent the Thomson theorem is not satisfied when approximately solenoidal fields are used.
Results: The quantified errors on energy vary from negligible to significant errors, depending on the extent of the nonsolenoidal component of the field. We identify the main source of errors and analyze the implications of adding a variable amount of divergence to various solenoidal fields. Finally, we present pathological unphysical situations where the estimated free energy would appear to be negative, as found in some previous works, and we identify the source of this error to be the presence of a finite divergence.
Conclusions: We provide a method of quantifying the effect of a finite divergence in numerical fields, together with detailed diagnostics of its sources. We also compare the efficiency of two divergence-cleaning techniques. These results are applicable to a broad range of numerical realizations of magnetic fields.

Appendices are available in electronic form at http://www.aanda.org Title: The standard flare model in three dimensions. II. Upper limit on solar flare energy Authors: Aulanier, G.; Démoulin, P.; Schrijver, C. J.; Janvier, M.; Pariat, E.; Schmieder, B. Bibcode: 2013A&A...549A..66A Altcode: 2012arXiv1212.2086A Context. Solar flares strongly affect the Sun's atmosphere as well as the Earth's environment. Quantifying the maximum possible energy of solar flares of the present-day Sun, if any, is thus a key question in heliophysics.
Aims: The largest solar flares observed over the past few decades have reached energies of a few times 1032 erg, possibly up to 1033 erg. Flares in active Sun-like stars reach up to about 1036 erg. In the absence of direct observations of solar flares within this range, complementary methods of investigation are needed to assess the probability of solar flares beyond those in the observational record.
Methods: Using historical reports for sunspot and solar active region properties in the photosphere, we scaled to observed solar values a realistic dimensionless 3D MHD simulation for eruptive flares, which originate from a highly sheared bipole. This enabled us to calculate the magnetic fluxes and flare energies in the model in a wide paramater space.
Results: Firstly, commonly observed solar conditions lead to modeled magnetic fluxes and flare energies that are comparable to those estimated from observations. Secondly, we evaluate from observations that 30% of the area of sunspot groups are typically involved in flares. This is related to the strong fragmentation of these groups, which naturally results from sub-photospheric convection. When the model is scaled to 30% of the area of the largest sunspot group ever reported, with its peak magnetic field being set to the strongest value ever measured in a sunspot, it produces a flare with a maximum energy of ~6 × 1033 erg.
Conclusions: The results of the model suggest that the Sun is able to produce flares up to about six times as energetic in total solar irradiance fluence as the strongest directly observed flare of Nov. 4, 2003. Sunspot groups larger than historically reported would yield superflares for spot pairs that would exceed tens of degrees in extent. We thus conjecture that superflare-productive Sun-like stars should have a much stronger dynamo than in the Sun. Title: On the kinematics and trigger mechanism of a twisting solar jet as observed by SDO/AIA Authors: Kumar Srivastava, Abhishek; Pariat, E.; Chandra, R.; Kayshap, P.; Murawski, K. Bibcode: 2013ASInC...9...70K Altcode: Using the SDO/AIA data of 304 Å and 211 Å, we observe a twisting solar jet on 26 January 2011. This jet presents an episodic brightening at its base in the 304 Å and 211 Å lines that we interpret as a sign of localized heating. We also observe the conversion of writhe to the twisting motion during upward propagation of the jet and vice-versa. This is a rare observational evidence of the helicity conservation and its backward transfer in the polar corona. The jet rises with a speed of ∼300 km/s, while it rotates at its central part with an angular speed of ∼0.002 rad/s. The injected helical twist in the jet may subject to the kink instability that probably affects the stability and dynamics of the jet. We conjecture that the initial heating at the base of the jet may be due to the reconnection between emerging flux and the pre-existing field lines, and allowed the transfer of helicity that most likely triggered the jet motion in the corona. Title: X-ray and ultraviolet investigation into the magnetic connectivity of a solar flare Authors: Reid, H. A. S.; Vilmer, N.; Aulanier, G.; Pariat, E. Bibcode: 2012A&A...547A..52R Altcode: 2012arXiv1210.2916R We investigate the X-ray and UV emission detected by RHESSI and TRACE in the context of a solar flare on the 16th November 2002 with the goal of better understanding the evolution of the flare. We analysed the characteristics of the X-ray emission in the 12-25 and 25-50 keV energy range while we looked at the UV emission at 1600 Å . The flare appears to have two distinct phases of emission separated by a 25-s time delay, with the first phase being energetically more important. We found good temporal and spatial agreement between the 25-50 keV X-rays and the most intense areas of the 1600 Å UV emission. We also observed an extended 100-arcsec < 25 keV source that appears coronal in nature and connects two separated UV ribbons later in the flare. Using the observational properties in X-ray and UV wavelengths, we propose two explanations for the flare evolution in relation to the spine/fan magnetic field topology and the accelerated electrons. We find that a combination of quasi separatrix layer reconnection and null-point reconnection is required to account for the observed properties of the X-ray and UV emission. Title: Comparison of a Magnetohydrodynamical Simulation and a Non-Linear Force-Free Field Model of a Sigmoidal Active Region. Authors: Pariat, Etienne; DeLuca, Edward; Van Ballegooijen, Adriaan; Aulanier, Guillaume; Savcheva, Antonia Bibcode: 2012cosp...39.1448P Altcode: 2012cosp.meet.1448P Sigmoids are solar magnetic structures where highly non-potential fields (strong shear/twist) are believed to be present. Thanks to the high level of free magnetic energy, active regions with sigmoids possess a higher eruptivity. In the present study, we will present a comparive topological analysis between a Non-Linear Force Free Field (NLFFF) model of sigmoid region, and a three-dimensional (3D) magnetohydrodynamics numerical simulation of the formation and eruption of such a structure. The MHD simulation is based on an idealized magnetic field distribution and the sigmoidal flux rope is built by means of shearing motions and magnetic polarity diffusion. The NLFFF model is based on the flux rope insertion method which utilizes line of sight magnetograms and X-ray observations of the region to constrain the models. We compare the geometrical and topological properties of the 3D magnetic fields given by both methods in their pre-eruptive phases. We arrive at a consistent picture for the evolution and eruption of the sigmoid by using the idealized MHD simulation as a context for the more specific observationally-constrained NLFFF models and data. Although, the two models are very different in their setups, we identify strong similarities between the two models and understandable differences. By computing the squashing factor in different horizontal maps at various heights above the photosphere and in vertical cuts in the domains, we demonstrate the existence of key Quasi-Separatrix Layers (QSL) eventually involved in the dynamic of the structure. We also show that there are electric current concentrations coinciding with the main QSLs. Finally, we perform torus instability analysis and show that a combination between reconnection at the main QSL and the resulting expansion of the flux rope into the torus instability domain is the cause of the CME in both models. This study finally highlights the interest of the use of in-depth topological tools to study highly non-potential magnetic fields. Title: Existence of two MHD reconnection modes in a solar 3D magnetic null point topology Authors: Pariat, Etienne; Antiochos, Spiro; DeVore, C. Richard; Dalmasse, Kévin Bibcode: 2012cosp...39.1450P Altcode: 2012cosp.meet.1450P Magnetic topologies with a 3D magnetic null point are common in the solar atmosphere and occur at different spatial scales: such structures can be associated with some solar eruptions, with the so-called pseudo-streamers, and with numerous coronal jets. We have recently developed a series of numerical experiments that model magnetic reconnection in such configurations in order to study and explain the properties of jet-like features. Our model uses our state-of-the-art adaptive-mesh MHD solver ARMS. Energy is injected in the system by line-tied motion of the magnetic field lines in a corona-like configuration. We observe that, in the MHD framework, two reconnection modes eventually appear in the course of the evolution of the system. A very impulsive one, associated with a highly dynamic and fully 3D current sheet, is associated with the energetic generation of a jet. Before and after the generation of the jet, a quasi-steady reconnection mode, more similar to the standard 2D Sweet-Parker model, presents a lower global reconnection rate. We show that the geometry of the magnetic configuration influences the trigger of one or the other mode. We argue that this result carries important implications for the observed link between observational features such as solar jets, solar plumes, and the emission of coronal bright points. Title: Evolution of a very complex active region during the decay phase of Cycle 23 Authors: Poisson, Mariano; Fuentes, Marcelo López; Mandrini, Cristina H.; Démoulin, Pascal; Pariat, Etienne Bibcode: 2012IAUS..286..246P Altcode: We study the emergence and evolution of AR NOAA 10314, observed on the solar disk during March 13-19, 2003. This extremely complex AR is of particular interest due to its unusual magnetic flux distribution and the clear rotation of the polarities of a δ-spot within the AR. Using SOHO/MDI magnetograms we follow the evolution of the photospheric magnetic flux to infer the morphology of the structure that originates the AR. We determine the tilt angle variation for the δ-spot and find a counter-clockwise rotation corresponding to a positive writhed flux tube. We compute the magnetic helicity injection and the total accumulated helicity in the AR and find a correlation with the observed rotation. Title: Photospheric injection of magnetic helicity: implementation of a new density estimate Authors: Dalmasse, Kévin; Pariat, Etienne; Demoulin, Pascal Bibcode: 2012cosp...39..393D Altcode: 2012cosp.meet..393D Magnetic helicity quantifies how globally sheared and/or twisted is the magnetic field, and thus, is a tracer of the non--potentiality of the magnetic field in a volume. In the conditions of the solar corona, magnetic helicity is a conserved quantity, and thus, imposes a high constraint on the evolution of the magnetic field. Helicity is continuously injected into the corona during the evolution of active regions (ARs), and CMEs are possibly the manifestation of the ejection of helicity excess. To better understand and quantify the role of magnetic helicity in solar activity, the distribution of magnetic helicity flux in ARs needs to be studied. The helicity distribution can be computed from the temporal evolution of photospheric magnetograms of ARs such as the ones provided by SDO/HMI and Hinode/SOT. Most of previous analyses of photospheric helicity flux derive helicity flux density proxies such as the so-called G_{A}, and recently G_{θ}. The proxy G_{θ} had been developed in order to reduce the fake signals observed using G_{A}. Although G_{θ} allows a better estimate of the photospheric helicity flux, it is still not a true helicity flux density because it does not account for the connectivity of the magnetic field lines. For the first time, we implement the helicity density G_{Φ} which takes into account such connectivity. In order to use G_{Φ} for future observational studies, we test the method and its precision on several models involving different types of helicity injection (by rotation and relative motions of two opposite magnetic polarities). We show that G_{Φ} is a much better proxy to estimate the photospheric helicity flux than G_{A} and G_{θ}. We discuss how it could be implemented from the dataset provided by SDO/HMI. Title: Generation of plasma flows and waves during the development of coronal jets Authors: Pariat, Etienne; Antiochos, Spiro; DeVore, C. Richard Bibcode: 2012cosp...39.1449P Altcode: 2012cosp.meet.1449P No abstract at ADS Title: Slip-running reconnection and evolution of shear in post-flare loops Authors: Janvier, Miho; Schmieder, Brigitte; Pariat, Etienne; Aulanier, Guillaume Bibcode: 2012cosp...39..816J Altcode: 2012cosp.meet..816J We analyze the physical mechanisms of an eruptive flare via 3D magnetohydrodynamic simulations of a flux rope. We focus on the relaxation process associated with the reconnection of magnetic field lines driven by the free expansion of the magnetic field. First, the origin of the shearing of post-flare magnetic loops is investigated in relation to the pre-flare geometry of the magnetic field. Indeed, space-borne satellites can observe the temporal changes of post-flare structures that are important observational manifestations of the solar flare phenomenon. As such, understanding the evolution of post-flare loops can reveal the characteristics of the pre-flare magnetic field. Here, we introduce different proxies to quantify the shear angle. We show that strong geometrical similarities exist between the initial magnetic field and the post-flare loops. Analysis of the eruption dynamics shows that magnetic reconnection at the origin of the post-flare field lines forms less and less sheared magnetic loops on top of one another. We confirm this tendency by direct measurements of the shear angle seen in flare events such as that of May 9, 2011 recorded by STEREO-B/EUVI. Our results also highlight that vertical stretching of the magnetic field lines may play a role in the shear angle evolution of post-flare loops. The analysis of the eruptive flare evolution is followed by a detailed investigation of the flux rope growth and of the post-flare loops formation due to coronal slip-running reconnection. For that, we study the dynamics of different regions around two ribbons of opposite current. We find that these ribbons correspond to quasi-separatrix layers (QSLs), associated with J-shaped pre-flare magnetic field lines, reconnected S-shaped flux rope lines and post-flare loops. Simulations with very small time steps are required so as to show the detailed time evolution of those QSLs as well as the time variations of the slip-running velocities. Our results provide a fully 3D extension of the standard 2D flare model. Title: Resistive magnetic flux emergence and formation of solar active regions Authors: Pariat, E.; Schmieder, B.; Masson, S.; Aulanier, G. Bibcode: 2012EAS....55..115P Altcode: Magnetic flux emergence as the mechanism leading to the formation of magnetized structures in the solar atmosphere plays a key role in the dynamic of the Sun. Observed as a whole, emerging flux regions show clear signs of twisted structure, bearing the magnetic free energy necessary to power active events. The high resolution observations of the recent solar observatories (e.g. Hinode, SDO) have revealed how intermittent the magnetic field appears and how various active events induced by flux emergence are. Magnetic field reconstructions methods show that the topology of the field in interspot regions presents a serpentine structure, i.e. field lines having successive U and Ω parts. Associated with the appearance of magnetic polarities, a tremendous number of brief small scale brightening are observed in different photospheric and chromospheric lines, e.g. Ellerman Bombs, along with small scale jet-like structures. These events are believed to be the observational signatures of the multiple magnetic reconnections which enable the magnetic field to emerge further up and magnetically structure the corona above active region. Meanwhile a world-wide effort to numerically model the emergence of magnetic field forming solar active region is been carried on. Using different types of physical paradigm - e.g. idealized magnetohydrodynamic model, advanced treatment of the physical equations, data-driven simulations - these numerical experiments highlight how electric currents can build-up during flux emergence, lead to reconnection and thus explain the formation of the different observed transients. Title: Coronal jets in an inclined coronal magnetic field : a parametric 3D MHD study Authors: Dalmasse, K.; Pariat, E.; Antiochos, S. K.; DeVore, C. R. Bibcode: 2012EAS....55..201D Altcode: X-ray solar coronal jets are short-duration, fast, well collimated plasma brightenings occurring in the solar corona. To explain and understand the processes driving the jets, one must be able to model an explosive release of free energy. Magnetic reconnection is believed to play a key role in the generation of these energetic bursting events. The model of jets that we have been developing is based on a magnetic field constructed by embedding a vertical magnetic dipole in a uniform open magnetic field. In this study, we investigate the influence of the inclination of the open field on the properties of the jet using numerical simulations. We will show that the inclination of the open field is of critical importance for the properties of the jet such as the energy released. We conclude that the characteristics of the open field at the time of observations are a central criterion that must be taken into account and reported on in observational studies. Title: Comparing Values of the Relative Magnetic Helicity in Finite Volumes Authors: Valori, G.; Démoulin, P.; Pariat, E. Bibcode: 2012SoPh..278..347V Altcode: 2012SoPh..tmp..271G Relative magnetic helicity, as a conserved quantity of ideal magnetohydrodynamics, has been highlighted as an important quantity to study in plasma physics. Due to its nonlocal nature, its estimation is not straightforward in both observational and numerical data. In this study we derive expressions for the practical computation of the gauge-independent relative magnetic helicity in three-dimensional finite domains. The derived expressions are easy to implement and rapid to compute. They are derived in Cartesian coordinates, but can be easily written in other coordinate systems. We apply our method to a numerical model of a force-free equilibrium containing a flux rope, and compare the results with those obtained employing known half-space equations. We find that our method requires a much smaller volume than half-space expressions to derive the full helicity content. We also prove that values of relative magnetic helicity of different magnetic fields can be compared with each other in the same sense as free-energy values can. Therefore, relative magnetic helicity can be meaningfully and directly compared between different datasets, such as those from different active regions, but also within the same dataset at different times. Typical applications of our formulae include the helicity computation in three-dimensional models of the solar atmosphere, e.g., coronal-field reconstructions by force-free extrapolation and discretized magnetic fields of numerical simulations. Title: Sigmoidal Active Region on the Sun: Comparison of a Magnetohydrodynamical Simulation and a Nonlinear Force-free Field Model Authors: Savcheva, A.; Pariat, E.; van Ballegooijen, A.; Aulanier, G.; DeLuca, E. Bibcode: 2012ApJ...750...15S Altcode: In this paper we show that when accurate nonlinear force-free field (NLFFF) models are analyzed together with high-resolution magnetohydrodynamic (MHD) simulations, we can determine the physical causes for the coronal mass ejection (CME) eruption on 2007 February 12. We compare the geometrical and topological properties of the three-dimensional magnetic fields given by both methods in their pre-eruptive phases. We arrive at a consistent picture for the evolution and eruption of the sigmoid. Both the MHD simulation and the observed magnetic field evolution show that flux cancellation plays an important role in building the flux rope. We compute the squashing factor, Q, in different horizontal maps in the domains. The main shape of the quasi-separatrix layers (QSLs) is very similar between the NLFFF and MHD models. The main QSLs lie on the edge of the flux rope. While the QSLs in the NLFFF model are more complex due to the intrinsic large complexity in the field, the QSLs in the MHD model are smooth and possess lower maximum value of Q. In addition, we demonstrate the existence of hyperbolic flux tubes (HFTs) in both models in vertical cross sections of Q. The main HFT, located under the twisted flux rope in both models, is identified as the most probable site for reconnection. We also show that there are electric current concentrations coinciding with the main QSLs. Finally, we perform torus instability analysis and show that a combination between reconnection at the HFT and the resulting expansion of the flux rope into the torus instability domain is the cause of the CME in both models. Title: Topological Tools For The Analysis Of Active Region Filament Stability Authors: DeLuca, Edward E.; Savcheva, A.; van Ballegooijen, A.; Pariat, E.; Aulanier, G.; Su, Y. Bibcode: 2012AAS...22020207D Altcode: The combination of accurate NLFFF models and high resolution MHD simulations allows us to study the changes in stability of an active region filament before a CME. Our analysis strongly supports the following sequence of events leading up to the CME: first there is a build up of magnetic flux in the filament through flux cancellation beneath a developing flux rope; as the flux rope develops a hyperbolic flux tube (HFT) forms beneath the flux rope; reconnection across the HFT raises the flux rope while adding addition flux to it; the eruption is triggered when the flux rope becomes torus-unstable. The work applies topological analysis tools that have been developed over the past decade and points the way for future work on the critical problem of CME initiation in solar active regions. We will present the uses of this approach, current limitations and future prospects. Title: Estimation of the squashing degree within a three-dimensional domain Authors: Pariat, E.; Démoulin, P. Bibcode: 2012A&A...541A..78P Altcode: Context. The study of the magnetic topology of magnetic fields aims at determining the key sites for the development of magnetic reconnection. Quasi-separatrix layers (QSLs), regions of strong connectivity gradients, are topological structures where intense-electric currents preferentially build-up, and where, later on, magnetic reconnection occurs.
Aims: QSLs are volumes of intense squashing degree, Q; the field-line invariant quantifying the deformation of elementary flux tubes. QSL are complex and thin three-dimensional (3D) structures difficult to visualize directly. Therefore Q maps, i.e. 2D cuts of the 3D magnetic domain, are a more and more common features used to study QSLs.
Methods: We analyze several methods to derive 2D Q maps and discuss their analytical and numerical properties. These methods can also be used to compute Q within the 3D domain.
Results: We demonstrate that while analytically equivalent, the numerical implementation of these methods can be significantly different. We derive the analytical formula and the best numerical methodology that should be used to compute Q inside the 3D domain. We illustrate this method with two twisted magnetic configurations: a theoretical case and a non-linear force free configuration derived from observations.
Conclusions: The representation of QSL through 2D planar cuts is an efficient procedure to derive the geometry of these structures and to relate them with other quantities, e.g. electric currents and plasma flows. It will enforce a more direct comparison of the role of QSL in magnetic reconnection. Title: 3D MHD Simulation of Current Intensification along Serpentine Emerging Magnetic Fields Authors: Pariat, E.; Masson, S.; Aulanier, G. Bibcode: 2012ASPC..455..177P Altcode: The high resolution observations of the Hinode instruments have revealed many important features of the magnetic flux evolution and its interaction with the solar plasma in emerging flux regions. The high intermittency of the magnetic field distribution in interspot regions confirms the serpentine topology adopted by the magnetic field as it cross the solar photosphere. Precise information about the evolution of localized brightenings, usually called Ellerman bombs (EBs), typical events of emerging flux regions, have been gathered by Hinode: the link between EBs and the magnetic topology, the EBs detailed spectral time evolution and their relation with other dynamic events such as small scale jets, etc. Ellerman bombs are believed to be the observational signatures of the multiple magnetic reconnections which enable the magnetic field to emerge further up and magnetically structure the corona above active regions. This work is part of a world-wide effort to model the emergence of magnetic field forming solar active regions. Using a data-driven, three-dimensional (3D) magnetohydrodynamic (MHD) numerical simulation of a flux emergence region, we study the development of 3D electric current sheets. We show that these currents buildup along the 3D serpentine magnetic-field structure as a result of photospheric diverging horizontal line-tied motions that emulate the observed photospheric evolution. We study which types of motion and magnetic topology lead to the highest current intensification and therefore to the highest reconnection probability. We discuss how these currents can explain the formation of Ellerman bombs, facilitate the flux emergence, and account for some observed pattern of emerging flux regions. Title: Topological tools for the analysis of active region filament stability Authors: DeLuca, Edward E.; Savcheva, A.; van Ballegooijen, A.; Pariat, E.; Aulanier, G.; Su, Y. Bibcode: 2012decs.confE..64D Altcode: The combination of accurate NLFFF models and high resolution MHD simulations allows us to study the changes in stability of an active region filament before a CME. Our analysis strongly supports the following sequence of events leading up to the CME: first there is a build up of magnetic flux in the filament through flux cancellation beneath a developing flux rope; as the flux rope develops a hyperbolic flux tube (HFT) forms beneath the flux rope; reconnection across the HFT raises the flux rope while adding addition flux to it; the eruption is triggered when the flux rope becomes torus-unstable. The work applies topological analysis tools that have been developed over the past decade and points the way for future work on the critical problem of CME initiation in solar active regions. We will discuss the uses of this approach, current limitations and future prospects. Title: Interchange Slip-Running Reconnection and Sweeping SEP Beams Authors: Masson, S.; Aulanier, G.; Pariat, E.; Klein, K. -L. Bibcode: 2012SoPh..276..199M Altcode: 2011arXiv1109.5678M We present a new model to explain how particles (solar energetic particles; SEPs), accelerated at a reconnection site that is not magnetically connected to the Earth, could eventually propagate along the well-connected open flux tube. Our model is based on the results of a low-β resistive magnetohydrodynamics simulation of a three-dimensional line-tied and initially current-free bipole, which is embedded in a non-uniform open potential field. The topology of this configuration is that of an asymmetric coronal null point, with a closed fan surface and an open outer spine. When driven by slow photospheric shearing motions, field lines, initially fully anchored below the fan dome, reconnect at the null point, and jump to the open magnetic domain. This is the standard interchange mode as sketched and calculated in 2D. The key result in 3D is that reconnected open field lines located in the vicinity of the outer spine keep reconnecting continuously, across an open quasi-separatrix layer, as previously identified for non-open-null-point reconnection. The apparent slipping motion of these field lines leads to formation of an extended narrow magnetic flux tube at high altitude. Because of the slip-running reconnection, we conjecture that if energetic particles would be traveling through, or be accelerated inside, the diffusion region, they would be successively injected along continuously reconnecting field lines that are connected farther and farther from the spine. At the scale of the full Sun, owing to the super-radial expansion of field lines below 3 R, such energetic particles could easily be injected in field lines slipping over significant distances, and could eventually reach the distant flux tube that is well-connected to the Earth. Title: The 2011 February 15 X2 Flare, Ribbons, Coronal Front, and Mass Ejection: Interpreting the Three-dimensional Views from the Solar Dynamics Observatory and STEREO Guided by Magnetohydrodynamic Flux-rope Modeling Authors: Schrijver, Carolus J.; Aulanier, Guillaume; Title, Alan M.; Pariat, Etienne; Delannée, Cecile Bibcode: 2011ApJ...738..167S Altcode: The 2011 February 15 X2.2 flare and associated Earth-directed halo coronal mass ejection were observed in unprecedented detail with high resolution in spatial, temporal, and thermal dimensions by the Atmospheric Imaging Assembly (AIA) on the Solar Dynamics Observatory, as well as by instruments on the two STEREO spacecraft, then at near-quadrature relative to the Sun-Earth line. These observations enable us to see expanding loops from a flux-rope-like structure over the shearing polarity-inversion line between the central δ-spot groups of AR 11158, developing a propagating coronal front ("EIT wave"), and eventually forming the coronal mass ejection moving into the inner heliosphere. The observations support the interpretation that all of these features, including the "EIT wave," are signatures of an expanding volume traced by loops (much larger than the flux rope only), surrounded by a moving front rather than predominantly wave-like perturbations; this interpretation is supported by previously published MHD models for active-region and global scales. The lateral expansion of the eruption is limited to the local helmet-streamer structure and halts at the edges of a large-scale domain of connectivity (in the process exciting loop oscillations at the edge of the southern polar coronal hole). The AIA observations reveal that plasma warming occurs within the expansion front as it propagates over quiet Sun areas. This warming causes dimming in the 171 Å (Fe IX and Fe X) channel and brightening in the 193 and 211 Å (Fe XII-XIV) channels along the entire front, while there is weak 131 Å (Fe VIII and Fe XXI) emission in some directions. An analysis of the AIA response functions shows that sections of the front running over the quiet Sun are consistent with adiabatic warming; other sections may require additional heating which MHD modeling suggests could be caused by Joule dissipation. Although for the events studied here the effects of volumetric expansion are much more obvious than true wave phenomena, we discuss how different magnetic environments within and around the erupting region can lead to the signatures of either or both of these aspects. Title: Solar activity due to magnetic complexity of active regions Authors: Schmieder, Brigitte; Mandrini, Cristina; Chandra, Ramesh; Démoulin, Pascal; Török, Tibor; Pariat, Etienne; Uddin, Wahab Bibcode: 2011IAUS..273..164S Altcode: Active regions (ARs), involved in the Halloween events during October-November 2003, were the source of unusual activity during the following solar rotation. The flares on 18-20 November 2003 that occur in the AR NOAA10501 were accompanied by coronal mass ejections associated to some particularly geoeffective magnetic clouds.

Our analysis of the magnetic flux and helicity injection revealed that a new emerging bipole and consequent shearing motions continuously energized the region during its disk passage. The stored energy was eventually released through the interaction of the various systems of magnetic loops by several magnetic reconnection events. Active events on November 18 (filament eruptions and CMEs) were originated by shearing motions along a section of the filament channel that injected magnetic helicity with sign opposite to that of the AR. Two homologous flares, that occurred on November 20, were apparently triggered by different mechanisms as inferred from the flare ribbons evolution (filament eruption and CMEs). We studied in detail the behaviour of two North-South oriented filaments on November 20 2003. They merged and split following a process suggestive of `sling-shot' reconnection between two coronal flux ropes. We successfully tested this scenario in a 3D MHD simulation that is presented in this paper. Title: Interchange slip-running reconnection and sweeping SEP beams Authors: Masson, Sophie; Aulanier, G.; Pariat, E.; Klein, K. -L. Bibcode: 2011shin.confE..38M Altcode: We present a new model to explain how particles, accelerated at a reconnection site that is not magnetically connected to the Earth, could eventually propagate along the well-connected open flux tube. Our model is based on the results of a low beta resistive MHD simulation of a 3D line-tied and initially current-free bipole, that is embedded in a non-uniform open potential field. The topology of this configuration is that of an asymmetric coronal null-point, with a closed fan surface and an open outer spine. When driven by slow photospheric shearing motions, field lines initially anchored at both feet below the fan dome reconnect at the null point, and jump to the open magnetic domain. This is the standard interchange mode as sketched and calculated in 2D. The key result in 3D is that, after the interchange, and just as found earlier in non-open null-point reconnection, reconnected open field lines located in the vicinity of the outer spine keep reconnecting continuously, across an open quasi-separatrix layer. The apparent slipping motion of these field lines leads to forming an extended narrow magnetic flux tube at high altitude. Because of the slip-running reconnection, we conjecture that if energetic particles would be traveling through, or be accelerated inside, the diffusion region, they would be successively injected along continuously reconnecting field lines, that are connected farther and farther from the spine. At the scale of the full Sun, owing to the super-radial expansion of field lines below 3 Rs, such energetic particles could easily be injected in field lines slipping over significant distances, and could eventually reach the distant flux tube that is well connected to the Earth. Title: Actors of the main activity in large complex centres during the 23 solar cycle maximum Authors: Schmieder, B.; Démoulin, P.; Pariat, E.; Török, T.; Molodij, G.; Mandrini, C. H.; Dasso, S.; Chandra, R.; Uddin, W.; Kumar, P.; Manoharan, P. K.; Venkatakrishnan, P.; Srivastava, N. Bibcode: 2011AdSpR..47.2081S Altcode: During the maximum of Solar Cycle 23, large active regions had a long life, spanning several solar rotations, and produced large numbers of X-class flares and CMEs, some of them associated to magnetic clouds (MCs). This is the case for the Halloween active regions in 2003. The most geoeffective MC of the cycle (Dst = -457) had its source during the disk passage of one of these active regions (NOAA 10501) on 18 November 2003. Such an activity was presumably due to continuous emerging magnetic flux that was observed during this passage. Moreover, the region exhibited a complex topology with multiple domains of different magnetic helicities. The complexity was observed to reach such unprecedented levels that a detailed multi-wavelength analysis is necessary to precisely identify the solar sources of CMEs and MCs. Magnetic clouds are identified using in situ measurements and interplanetary scintillation (IPS) data. Results from these two different sets of data are also compared. Title: Interchange Slip-running Reconnection and Sweeping SEP Beams Authors: Masson, Sophie; Aulanier, G.; Pariat, E.; Klein, K. Bibcode: 2011SPD....42.1403M Altcode: 2011BAAS..43S.1403M We present a new model to explain how particles, accelerated at a reconnection site that is not magnetically connected to the Earth, could eventually propagate along the well-connected open flux tube. Our model is based on the results of a low beta resistive MHD simulation of a 3D line-tied and initially current-free bipole, that is embedded in a non-uniform open potential field. The topology of this configuration is that of an asymmetric coronal null-point, with a closed fan surface and an open outer spine. When driven by slow photospheric shearing motions, field lines initially anchored at both feet below the fan dome reconnect at the null point, and jump to the open magnetic domain. This is the standard interchange mode as sketched and calculated in 2D. The key result in 3D is that, after the interchange, and just as found earlier in non-open null-point reconnection, reconnected open field lines located in the vicinity of the outer spine keep reconnecting continuously, across an open quasi-separatrix layer. The apparent slipping motion of these field lines leads to forming an extended narrow magnetic flux tube at high altitude. Because of the slip-running reconnection, we conjecture that if energetic particles would be traveling through, or be accelerated inside, the diffusion region, they would be successively injected along continuously reconnecting field lines, that are connected farther and farther from the spine. At the scale of the full Sun, owing to the super-radial expansion of field lines below 3 Rs, such energetic particles could easily be injected in field lines slipping over significant distances, and could eventually reach the distant flux tube that is well connected to the Earth. Title: Homologous Flares and Magnetic Field Topology in Active Region NOAA 10501 on 20 November 2003 Authors: Chandra, R.; Schmieder, B.; Mandrini, C. H.; Démoulin, P.; Pariat, E.; Török, T.; Uddin, W. Bibcode: 2011SoPh..269...83C Altcode: 2010arXiv1011.1187C; 2010SoPh..tmp..249C We present and interpret observations of two morphologically homologous flares that occurred in active region (AR) NOAA 10501 on 20 November 2003. Both flares displayed four homologous Hα ribbons and were both accompanied by coronal mass ejections (CMEs). The central flare ribbons were located at the site of an emerging bipole in the centre of the active region. The negative polarity of this bipole fragmented in two main pieces, one rotating around the positive polarity by ≈ 110° within 32 hours. We model the coronal magnetic field and compute its topology, using as boundary condition the magnetogram closest in time to each flare. In particular, we calculate the location of quasi-separatrix layers (QSLs) in order to understand the connectivity between the flare ribbons. Though several polarities were present in AR 10501, the global magnetic field topology corresponds to a quadrupolar magnetic field distribution without magnetic null points. For both flares, the photospheric traces of QSLs are similar and match well the locations of the four Hα ribbons. This globally unchanged topology and the continuous shearing by the rotating bipole are two key factors responsible for the flare homology. However, our analyses also indicate that different magnetic connectivity domains of the quadrupolar configuration become unstable during each flare, so that magnetic reconnection proceeds differently in both events. Title: Filament Interaction Modeled by Flux Rope Reconnection Authors: Török, T.; Chandra, R.; Pariat, E.; Démoulin, P.; Schmieder, B.; Aulanier, G.; Linton, M. G.; Mandrini, C. H. Bibcode: 2011ApJ...728...65T Altcode: Hα observations of solar active region NOAA 10501 on 2003 November 20 revealed a very uncommon dynamic process: during the development of a nearby flare, two adjacent elongated filaments approached each other, merged at their middle sections, and separated again, thereby forming stable configurations with new footpoint connections. The observed dynamic pattern is indicative of "slingshot" reconnection between two magnetic flux ropes. We test this scenario by means of a three-dimensional zero β magnetohydrodynamic simulation, using a modified version of the coronal flux rope model by Titov and Démoulin as the initial condition for the magnetic field. To this end, a configuration is constructed that contains two flux ropes which are oriented side-by-side and are embedded in an ambient potential field. The choice of the magnetic orientation of the flux ropes and of the topology of the potential field is guided by the observations. Quasi-static boundary flows are then imposed to bring the middle sections of the flux ropes into contact. After sufficient driving, the ropes reconnect and two new flux ropes are formed, which now connect the former adjacent flux rope footpoints of opposite polarity. The corresponding evolution of filament material is modeled by calculating the positions of field line dips at all times. The dips follow the morphological evolution of the flux ropes, in qualitative agreement with the observed filaments. Title: A solar eruption triggered by the interaction between two magnetic flux systems with opposite magnetic helicity Authors: Romano, P.; Pariat, E.; Sicari, M.; Zuccarello, F. Bibcode: 2011A&A...525A..13R Altcode: Context. In recent years the accumulation of magnetic helicity via emergence of new magnetic flux and/or shearing photospheric motions has been considered to play an important role in the destabilization processes that lead to eruptive phenomena occurring in the solar atmosphere.
Aims: In this paper we want to highlight a specific aspect of magnetic helicity accumulation, providing new observational evidence of the role played by the interaction of magnetic fields characterized by opposite magnetic helicity signs in triggering solar eruption.
Methods: We used 171 Å TRACE data to describe a filament eruption on 2001 Nov. 1 in active region NOAA 9682 and MDI full disk line-of-sight magnetograms to measure the accumulation of magnetic helicity in corona before the event. We used the local correlation tracking (LCT) and the differential affine velocity estimator (DAVE) techniques to determine the horizontal velocities and two methods for estimating the magnetic helicity flux.
Results: The chirality signatures of the filament involved in the eruption were ambiguous, and the overlying arcade visible during the main phase of the event was characterized by a mixing of helicity signs. However, the measures of the magnetic helicity flux allowed us to deduce that the magnetic helicity was positive in the whole active region where the event took place, while it was negative near the magnetic inversion line where the filament footpoints were located.
Conclusions: These results suggest that the filament eruption may be caused by magnetic reconnection between two magnetic field systems characterized by opposite signs of magnetic helicity. We also find that only the DAVE method allowed us to obtain the crucial information on the horizontal velocity field near the magnetic inversion line. Title: Study of solar flares and filament interaction in NOAA 10501 on 20 November, 2003 Authors: Chandra, R.; Schmieder, B.; Mandrini, C. H.; Démoulin, P.; Pariat, E.; Török, T.; Aulanier, G.; Uddin, W.; Linton, M. G. Bibcode: 2011ASInC...2..323C Altcode: We analyze the observations of two flares from NOAA AR 10501 on 20 November, 2003. The flares are homologous, exhibit four ribbons and are located in a quadrupolar magnetic configuration. The evolution of the ribbons suggests that the first eruption is triggered by "tether cutting" (with subsequent quadrupolar reconnection as in the "magnetic breakout" model), whereas the second one is consistent with the "magnetic breakout" model. Another interesting feature of our observations is the interaction of two filaments elongated in the north-south direction. The filaments merge at their central parts and afterwards change their orientation to the east-west direction. This merging and splitting is closely related to the evolution found in an MHD simulation as a result of reconnection between two flux ropes. Title: Symmetric Coronal Jets: A Reconnection-controlled Study Authors: Rachmeler, L. A.; Pariat, E.; DeForest, C. E.; Antiochos, S.; Török, T. Bibcode: 2010ApJ...715.1556R Altcode: Current models and observations imply that reconnection is a key mechanism for destabilization and initiation of coronal jets. We evolve a system described by the theoretical symmetric jet formation model using two different numerical codes with the goal of studying the role of reconnection in this system. One of the codes is the Eulerian adaptive mesh code ARMS, which simulates magnetic reconnection through numerical diffusion. The quasi-Lagrangian FLUX code, on the other hand, is ideal and able to evolve the system without reconnection. The ideal nature of FLUX allows us to provide a control case of evolution without reconnection. We find that during the initial symmetric and ideal phase of evolution, both codes produce very similar morphologies and energy growth. The symmetry is then broken by a kink-like motion of the axis of rotation, after which the two systems diverge. In ARMS, current sheets formed and reconnection rapidly released the stored magnetic energy. In FLUX, the closed field remained approximately constant in height while expanding in width and did not release any magnetic energy. We find that the symmetry threshold is an ideal property of the system, but the lack of energy release implies that the observed kink is not an instability. Because of the confined nature of the FLUX system, we conclude that reconnection is indeed necessary for jet formation in symmetric jet models in a uniform coronal background field. Title: Three-dimensional Modeling of Quasi-homologous Solar Jets Authors: Pariat, E.; Antiochos, S. K.; DeVore, C. R. Bibcode: 2010ApJ...714.1762P Altcode: Recent solar observations (e.g., obtained with Hinode and STEREO) have revealed that coronal jets are a more frequent phenomenon than previously believed. This higher frequency results, in part, from the fact that jets exhibit a homologous behavior: successive jets recur at the same location with similar morphological features. We present the results of three-dimensional (3D) numerical simulations of our model for coronal jets. This study demonstrates the ability of the model to generate recurrent 3D untwisting quasi-homologous jets when a stress is constantly applied at the photospheric boundary. The homology results from the property of the 3D null-point system to relax to a state topologically similar to its initial configuration. In addition, we find two distinct regimes of reconnection in the simulations: an impulsive 3D mode involving a helical rotating current sheet that generates the jet and a quasi-steady mode that occurs in a 2D-like current sheet located along the fan between the sheared spines. We argue that these different regimes can explain the observed link between jets and plumes. Title: How Can a Negative Magnetic Helicity Active Region Generate a Positive Helicity Magnetic Cloud? Authors: Chandra, R.; Pariat, E.; Schmieder, B.; Mandrini, C. H.; Uddin, W. Bibcode: 2010SoPh..261..127C Altcode: 2009arXiv0910.0968C The geoeffective magnetic cloud (MC) of 20 November 2003 was associated with the 18 November 2003 solar active events in previous studies. In some of these, it was estimated that the magnetic helicity carried by the MC had a positive sign, as did its solar source, active region (AR) NOAA 10501. In this article we show that the large-scale magnetic field of AR 10501 has a negative helicity sign. Since coronal mass ejections (CMEs) are one of the means by which the Sun ejects magnetic helicity excess into interplanetary space, the signs of magnetic helicity in the AR and MC must agree. Therefore, this finding contradicts what is expected from magnetic helicity conservation. However, using, for the first time, correct helicity density maps to determine the spatial distribution of magnetic helicity injections, we show the existence of a localized flux of positive helicity in the southern part of AR 10501. We conclude that positive helicity was ejected from this portion of the AR leading to the observed positive helicity MC. Title: Vector Magnetic Field in Emerging Flux Regions Authors: Schmieder, B.; Pariat, E. Bibcode: 2010ASSP...19..505S Altcode: 2010mcia.conf..505S A crucial phase in magnetic flux emergence is the rise of magnetic flux tubes through the solar photosphere, which represents a severe transition between the very different environments of the solar interior and corona. Multi-wavelength observations with Flare Genesis, TRACE, SoHO, and more recently with the vector magnetographs at THEMIS and Hida (DST) led to the following conclusions. The fragmented magnetic field in the emergence region - with dipped field lines or bald patches - is directly related with Ellerman bombs, arch filament systems, and overlying coronal loops. Measurements of vector magnetic fields have given evidence that undulating "serpentine" fields are present while magnetic flux tubes cross the photosphere. See the sketch below, and for more detail see Pariat et al. (2004, 2007); Watanabe et al. (2008): Title: Ejective events from a complex active region Authors: Mandrini, Cristina H.; Chandra, Ramesh; Pariat, Etienne; Schmieder, Brigitte; Demoulin, Pascal; Toeroek, Tibor; Uddin, Wahab Bibcode: 2010cosp...38.1886M Altcode: 2010cosp.meet.1886M On 18 and 20 November 2003 active region (AR) 10501 produced a series of M flares all of them associated with coronal mass ejections (CMEs). The particularity of this AR is that while observational tracers of the magnetic helicity sign indicate that the large scale field in the region had a negative magnetic helicity sign, the MC associated to the most intense flare/CME on November 18 showed the opposite sign. Furthermore, the filaments observed on November 20 present morphological characteristics that correspond to a negative magnetic helicity sign, the rotation of the polarities of an emerging bipole indicate negative magnetic helicity sign injection; however, the flare ribbons observed after two homologous events can be connected either by field lines computed using a positive or a negative helicity sign magnetic field. We combine Hα, EUV, hard X-rays, and magnetic field data analysis with magnetic field modelling, and magnetic helicity injection computations to understand the origin of the helicity sign discrepancies discussed above. On November 20 magnetic field modeling and topology computations (in particular, the location of quasi-separatrix layers in relation to flare ribbons and evolution) give us clues about the CME initiation process. Title: Generation of solar coronal jets by 3D MHD simulations Authors: Pariat, Etienne Bibcode: 2010cosp...38.2935P Altcode: 2010cosp.meet.2935P In the solar atmosphere, jet-like features are observed over a broad range of spatial and temporal scales. Recent solar missions (e.g. STEREO, Hinode, ...) have recently provided ground breaking observations of these active events. The high spatial and temporal resolution of the Hinode observations yields new insights into the origins of coronal jets, and provides detailed data that can be used to test and refine models. Despite their name, jet structure may not be fully formed by bulk flows. Physical process such as conduction and compressive wave may also explain many observed features. Numerical models have therefore appears as important tools to understand the underlying physics of these dynamic events. In this review, I will detail the results of several recent numerical experiments of the trigger of coronal jets. I will show that magnetic reconnection is the key process and I will discuss how 3D simulations are modifying our previous understanding of the driving process of solar jets. Title: Actors of the main activity of large complex centres during the 23 Solar Cycle maximum Authors: Schmieder, Brigitte; Chandra, Ramesh; Demoulin, Pascal; Mandrini, Cristina H.; Venkatakrishnan, P.; Manoharan, P. K.; Uddin, Wahab; Pariat, Etienne; Toeroek, Tibor; Molodij, Guillaume; Kumar, P. Bibcode: 2010cosp...38.1861S Altcode: 2010cosp.meet.1861S During the maximum of the last Solar Cycle solar cycle 23, large active regions had a long life spanning several solar rotations and produced a large number of X-ray class flares, CMEs and Magnetic clouds (MC). This was the case for the Halloween active regions in 2003. The most geoeffective magnetic cloud of the cycle (Dst=-457) has its source in one passage of the active region (NOAA 10501) on November 18, 2003. Such an activity is presumably due to continuous emerging magnetic flux that was observed during this passage. Moreover, the region exhibited a complex topology with multiple domains of distinct magnetic helicities. The complexity is observed to reach such unprecedented levels that a detailed multi wavelength analysis is necessary to precisely identify the sources of CMEs and MCs. Title: Current Buildup in Emerging Serpentine Flux Tubes Authors: Pariat, E.; Masson, S.; Aulanier, G. Bibcode: 2009ApJ...701.1911P Altcode: The increase of magnetic flux in the solar atmosphere during active-region formation involves the transport of the magnetic field from the solar convection zone through the lowest layers of the solar atmosphere, through which the plasma β changes from >1 to <1 with altitude. The crossing of this magnetic transition zone requires the magnetic field to adopt a serpentine shape also known as the sea-serpent topology. In the frame of the resistive flux-emergence model, the rising of the magnetic flux is believed to be dynamically driven by a succession of magnetic reconnections which are commonly observed in emerging flux regions as Ellerman bombs. Using a data-driven, three-dimensional (3D) magnetohydrodynamic numerical simulation of flux emergence occurring in active region 10191 on 2002 November 16-17, we study the development of 3D electric current sheets. We show that these currents buildup along the 3D serpentine magnetic-field structure as a result of photospheric diverging horizontal line-tied motions that emulate the observed photospheric evolution. We observe that reconnection can not only develop following a pinching evolution of the serpentine field line, as usually assumed in two-dimensional geometry, but can also result from 3D shearing deformation of the magnetic structure. In addition, we report for the first time on the observation in the UV domain with the Transition Region and Coronal Explorer (TRACE) of extremely transient loop-like features, appearing within the emerging flux domain, which link several Ellermam bombs with one another. We argue that these loop transients can be explained as a consequence of the currents that build up along the serpentine magnetic field. Title: The Nature of Flare Ribbons in Coronal Null-Point Topology Authors: Masson, S.; Pariat, E.; Aulanier, G.; Schrijver, C. J. Bibcode: 2009ApJ...700..559M Altcode: Flare ribbons are commonly attributed to the low-altitude impact, along the footprints of separatrices or quasi-separatrix layers (QSLs), of particle beams accelerated through magnetic reconnection. If reconnection occurs at a three-dimensional coronal magnetic null point, the footprint of the dome-shaped fan surface would map a closed circular ribbon. This paper addresses the following issues: does the entire circular ribbon brighten simultaneously, as expected because all fan field lines pass through the null point? And since the spine separatrices are singular field lines, do spine-related ribbons look like compact kernels? What can we learn from these observations about current sheet formation and magnetic reconnection in a null-point topology? The present study addresses these questions by analyzing Transition Region and Coronal Explorer and Solar and Heliospheric Observatory/Michelson Doppler Imager observations of a confined flare presenting a circular ribbon. Using a potential field extrapolation, we linked the circular shape of the ribbon with the photospheric mapping of the fan field lines originating from a coronal null point. Observations show that the flare ribbon outlining the fan lines brightens sequentially along the counterclockwise direction and that the spine-related ribbons are elongated. Using the potential field extrapolation as initial condition, we conduct a low-β resistive magnetohydrodynamics simulation of this observed event. We drive the coronal evolution by line-tied diverging boundary motions, so as to emulate the observed photospheric flow pattern associated with some magnetic flux emergence. The numerical analysis allows us to explain several observed features of the confined flare. The vorticity induced in the fan by the prescribed motions causes the spines to tear apart along the fan. This leads to formation of a thin current sheet and induces null-point reconnection. We also find that the null point and its associated topological structure is embedded within QSLs, already present in the asymmetric potential field configuration. We find that the QSL footprints correspond to the observed elongated spine ribbons. Finally, we observe that before and after reconnecting at the null point, all field lines undergo slipping and slip-running reconnection within the QSLs. Field lines, and therefore particle impacts, slip or slip-run according to their distance from the spine, in directions and over distances that are compatible with the observed dynamics of the ribbons. Title: Coronal loops, flare ribbons and aurora during slip-running Authors: Schmieder, Brigitte; Aulanier, Guillaume; Démoulin, Pascal; Pariat, Etienne Bibcode: 2009EP&S...61..565S Altcode: 2009EP&S...61L.565S Solar two ribbon flares are commonly explained by magnetic field reconnections in the low corona. During the reconnection energetic particles (electrons and protons) are accelerated from the reconnection site. These particles are following the magnetic field lines down to the chromosphere. As the plasma density is higher in these lower layers, there are collisions and emission of radiation. Thus bright ribbons are observed at both ends of flare loops. These ribbons are typically observed in Hα and in EUV with SoHO and TRACE. As the time is going, these ribbons are expanding away of each other. In most studied models, the reconnection site is a separator line, where two magnetic separatrices intersect. They define four distinct connectivity domains, across which the magnetic connectivity changes discontinuously. In this paper, we present a generalization of this model to 3D complex magnetic topologies where there are no null points, but quasi-separatrices layers instead. In that case, while the ribbons spread away during reconnection, we show that magnetic field lines can quickly slip along them. We propose that this new phenomenon could explain fast extension of Hα and TRACE 1600 Å ribbons, fast moving HXR footpoints along the ribbons as observed by RHESSI, and that it is observed in soft X rays with Hinode/XRT. Title: Generation of Homologous Coronal Jets Authors: Pariat, Etienne; Antiochos, S. K.; DeVore, C. R. Bibcode: 2009SPD....40.3201P Altcode: Recent solar observations (e.g. Hinode & STEREO) have revealed that coronal jets are a more frequent phenomenon than previously believed. This higher frequency results, in part, from the fact that jets exhibit a homologous behavior; successive jets re-occur at the same location.

We present the results of 3D numerical simulations of our model for coronal jets. The simulations were performed with our state-of-art adaptive mesh MHD solver ARMS. The basic idea of the model is that a jet is due to the release of twist as a closed field region undergoes interchange reconnection with surrounding open field. If a stress is constantly applied at the photospheric boundary we demonstrate that our model of jets is able to reproduce the observed homologous property. In addition, we find that two regimes of reconnection can occur in the simulations. This result has important implications for the observed link between jets and plumes.

This work was supported by the NASA Theory and SR&T Programs. Title: Modelling and observations of photospheric magnetic helicity Authors: Démoulin, P.; Pariat, E. Bibcode: 2009AdSpR..43.1013D Altcode: Mounting observational evidence of the emergence of twisted magnetic flux tubes through the photosphere have now been published. Such flux tubes, formed by the solar dynamo and transported through the convection zone, eventually reach the solar atmosphere. Their accumulation in the solar corona leads to flares and coronal mass ejections. Since reconnections occur during the evolution of the flux tubes, the concepts of twist and magnetic stress become inappropriate. Magnetic helicity, as a well preserved quantity, in particular in plasma with high magnetic Reynolds number, is a more suitable physical quantity to use, even if reconnection is involved.

Only recently, it has been realized that the flux of magnetic helicity can be derived from magnetogram time series. This paper reviews the advances made in measuring the helicity injection rate at the photospheric level, mostly in active regions. It relates the observations to our present theoretical understanding of the emergence process. Most of the helicity injection is found during magnetic flux emergence, whereas the effect of differential rotation is small, and the long-term evolution of active regions is still puzzling. The photospheric maps of the injection of magnetic helicity provide new spatial information about the basic properties of the link between the solar activity and its sub-photospheric roots. Finally, the newest techniques to measure photospheric flows are reviewed. Title: A Model for Solar Polar Jets Authors: Pariat, E.; Antiochos, S. K.; DeVore, C. R. Bibcode: 2009ApJ...691...61P Altcode: We propose a model for the jetting activity that is commonly observed in the Sun's corona, especially in the open-field regions of polar coronal holes. Magnetic reconnection is the process driving the jets and a relevant magnetic configuration is the well known null-point and fan-separatrix topology. The primary challenge in explaining the observations is that reconnection must occur in a short-duration energetic burst, rather than quasi-continuously as is implied by the observations of long-lived structures in coronal holes, such as polar plumes. The key idea underlying our model for jets is that reconnection is forbidden for an axisymmetrical null-point topology. Consequently, by imposing a twisting motion that maintains the axisymmetry, magnetic stress can be built up to high levels until an ideal instability breaks the symmetry and leads to an explosive release of energy via reconnection. Using three-dimensional magnetohydrodynamic simulations, we demonstrate that this mechanism does produce massive, high-speed jets driven by nonlinear Alfvén waves. We discuss the implications of our results for observations of the solar corona. Title: Magnetic reconnection and particle accelerationinitiated by flux emergence Authors: Masson, S.; Aulanier, G.; Pariat, E.; Klein, K. -L.; Schrijver, C. J. Bibcode: 2008sf2a.conf..555M Altcode: So as to perform an MHD simulation of the evolution of the corona driven by the evolution of the photosphere, a key aspect is the definition of the boundary conditions for reaching a good compromise between physical conditions and numerical constraints. In this work, we focused on the simulation of a confined flare observed on Nov 16, 2002. As initial configuration, we considered a uniform temperature corona, with a magnetic field resulting from a 3D potential field extrapolation from a SOHO/MDI magnetogram. We prescribed a velocity field at the photospheric boundary of the domain, so as to mimic the observed flow pattern associated to a flux emergence. This resulted in a combination of ``slipping reconnection'' in a halo of QSLs surrounding a 3D null point, through which a ``fan reconnection'' regime took place. This simplified approach of flux emergence has successfully reproduced the main characteristics of the observed flare: the flare ribbons observed in the EUV with TRACE being due to the chromospheric impact of particles accelerated along reconnecting field lines, this bimodal regime could explain both the shapes and dynamics of these ribbons. We foresee that this kind of modeling should be able to simulate the evolution of slipping magnetic flux tubes in open configurations, allowing to predict the spatio-temporal evolution of particle beams injected into the heliosphere. Title: 3D Numerical Simulation of a New Model for Coronal Jets Authors: Pariat, E.; Antiochos, S.; DeVore, C. R.; Patsourakos, S. Bibcode: 2008ESPM...12.3.28P Altcode: Recent solar observations with STEREO and HINODE have revealed evidence of twisting motions during the evolution of coronal jets. Furthermore, the observations indicate that some jets achieve near-Alfvenic velocities. Most models of jet are not capable of explaining these new observational features. In addition, the impulsiveness of jets, manifested as a brief, violent energy release phase in contrast to a slow, quasi-static energy storage phase storage, is an issue not easily addressed.

We will present the results of 3D numerical simulations of our model for coronal jets. The simulations were performed with our state-of-art adaptive mesh MHD solver ARMS. The basic idea of the model is that a jet is due to the release of magnetic twist when a closed field region undergoes interchange reconnection with surrounding open field. The fast reconnection between open and closed field results in the generation of nonlinear Alfven waves that propagate along the open field, accelerating plasma upward. We will show how the new stereoscopically-observed features of jets can be explained by the results of our numerical simulations Title: STEREO SECCHI Stereoscopic Observations Constraining the Initiation of Polar Coronal Jets Authors: Patsourakos, S.; Pariat, E.; Vourlidas, A.; Antiochos, S. K.; Wuelser, J. P. Bibcode: 2008ApJ...680L..73P Altcode: 2008arXiv0804.4862P We report on the first stereoscopic observations of polar coronal jets made by the EUVI/SECCHI imagers on board the twin STEREO spacecraft. The significantly separated viewpoints (~11°) allowed us to infer the 3D dynamics and morphology of a well-defined EUV coronal jet for the first time. Triangulations of the jet's location in simultaneous image pairs led to the true 3D position and thereby its kinematics. Initially the jet ascends slowly at ≈10-20 km s-1 and then, after an apparent "jump" takes place, it accelerates impulsively to velocities exceeding 300 km s-1 with accelerations exceeding the solar gravity. Helical structure is the most important geometrical feature of the jet which shows evidence of untwisting. The jet structure appears strikingly different from each of the two STEREO viewpoints: face-on in one viewpoint and edge-on in the other. This provides conclusive evidence that the observed helical structure is real and does not result from possible projection effects of single-viewpoint observations. The clear demonstration of twisted structure in polar jets compares favorably with synthetic images from a recent MHD simulation of jets invoking magnetic untwisting as their driving mechanism. Therefore, the latter can be considered as a viable mechanism for the initiation of polar jets. Title: 3D Numerical Simulation and Stereoscopic Observations of Coronal Jets Authors: Pariat, E.; Antiochos, S. K.; Patsourakos, S.; DeVore, C. R. Bibcode: 2008AGUSMSP53A..05P Altcode: Recent solar observations have revealed that coronal jets are a more frequent phenomenon than previously believed. It is widely accepted that magnetic reconnection is the fundamental mechanism that gives rise to the jets. The improved spatial and temporal resolution of the STEREO observations in combination with stereoscopy yields new insights into the origins of coronal jets, and provides detailed data that can be used to test and refine models. We present the results of 3D numerical simulations of our model for coronal jets. The simulations were performed with our state-of-art adaptive mesh MHD solver ARMS. The basic idea of the model is that a jet is due to the release of twist as a closed field region undergoes interchange reconnection with surrounding open field. The photospheric driven evolution of the structure results in the generation of a non linear Alfven wave along the open fields. Using stereoscopic EUVI images, we reveal the presence of such twisted structure in a coronal jet event. This work was supported, in part, by NASA and ONR. Title: Understanding the Initiation of Polar Coronal Jets with STEREO/SECCHI Stereoscopic Observations Authors: Vourlidas, A.; Patsourakos, S.; Pariat, E.; Antiochos, S. Bibcode: 2008AGUSMSH23A..02V Altcode: Polar coronal jets are collimated transient ejections of plasma occurring in polar coronal holes. The kinematics and mostly the 3D morphology of jets place strong constraints on the physical mechanism(s) responsible for their initiation, and were not accessible before the STEREO mission. We report on the first stereoscopic observations of polar coronal jets made by the EUVI/SECCHI imagers on-board the twin STEREO spacecraft at spacecraft separations of ~ 11° and ~ 45°. Triangulations of the jet locations in simultaneous image pairs led to the true 3D position and thereby their kinematics. The most important geometrical feature of the observed jets is helical structures showing evidence of untwisting. The jet structure appear strikingly different from each of the two STEREO viewpoints: face-on in the one viewpoint and edge-on in the other. This provides solid evidence that the observed helical structure is real and not resulting from possible projection effects of single viewpoint observations. The clear demonstration of twisted structure in polar jets compares favorably with synthetic images from a recent MHD simulation of jets invoking magnetic untwisting as their driving mechanism. Title: The Build-up of Current Sheets in Complex Topologies by Photospheric Driving. Authors: Pariat, E. Bibcode: 2008AGUSMSH51C..02P Altcode: The most violent solar coronal phenomena all involve magnetic reconnection which allows the release of stored magnetic energy into other forms of energy. The triggering of solar reconnection in a low resistivity environment requires the build-up of intense electric current sheets, which are also the cornerstone of particle acceleration mechanisms. Magnetic configurations with a complex topology, i.e., with separatrices, are the most obvious configurations where current sheets can form, and therefore where reconnection can efficiently occur. As I will show through several examples, motions of the field lines at the photospheric level, even if regular, slow and spatially smooth, can lead to the formation of current sheets along the separatrices. However, with such topology the formation of the current sheet is extremely fast, so there is little time for energy to build up before reconnection sets in. How can large amounts of magnetic energy be stored before reconnection is triggered? "Quasi-Separatrix Layers" (QSLs), which are regions where there is a drastic yet continuous change in field-line linkage, generalizing the definition of separatrices, offer a natural solution to this storage problem. Based on observational and numerical examples, I will compare the energy build-up problem in separatrices and QSLs topologies and discuss the implications on the observable properties of reconnection. Title: Modeling Coronal Jets with FLUX Authors: Rachmeler, L. A.; Pariat, E.; Antiochos, S. K.; Deforest, C. E. Bibcode: 2008AGUSMSP43B..01R Altcode: We report on a comparative study of coronal jet formation with and without reconnection using two different simulation strategies. Coronal jets are features on the solar surface that appear to have some properties in common with coronal mass ejections, but are less energetic, massive, and broad. Magnetic free energy is built up over time and then suddenly released, which accelerates plasma outward in the form of a coronal jet. We compare results from the ARMS adaptive mesh and FLUX reconnection-less codes to study the role of reconnection in this system. This is the first direct comparison between FLUX and a numerical model with a 3D spatial grid. Title: 3D numerical simulation and stereoscopic observations of coronal jets. Authors: Pariat, Etienne; Antiochos, Spiro; Patsourakos, Spiro; DeVore, C. R. Bibcode: 2008cosp...37.2354P Altcode: 2008cosp.meet.2354P Recent solar observations have revealed that coronal jets are a more frequent phenomenon than previously believed. It is widely accepted that magnetic reconnection is the fundamental mechanism that gives rise to the jets. The improved spatial and temporal resolution of the STEREO observations in combination with stereoscopy yields new insights into the origins of coronal jets, and provides detailed data that can be used to test and refine models. We present the results of a 3D numerical simulation of our model for coronal jets. The simulations were performed with our state-of-art adaptive mesh MHD solver ARMS. The basic idea of the model is that a jet is due to the release of twist as a closed field region undergoes interchange reconnection with surrounding open field. The photospheric driven evolution of the structure results in the generation of nonlinear Alfven waves propagating along the open field, which drive the jet flows. Using stereoscopic EUVI images, we reveal the presence of such twisted structure in a coronal jet event. This work was supported, in part, by NASA and ONR. Title: Comparison of 3D Numerical Simulations with STEREO Observations of Coronal Jets Authors: Pariat, E.; Patsourakos, S.; Antiochos, S. K.; DeVore, C. R. Bibcode: 2007AGUFMSH41B..03P Altcode: Recent solar observations have revealed that coronal jets are a more frequent phenomenon than previously believed. It is widely accepted that magnetic reconnection is the fundamental mechanism that gives rise to the jets. The improved spatial and temporal resolution of the STEREO observations in combination with stereoscopy yields new insights into the origins of coronal jets, and provides detailed data that can be used to test and refine models. We present the results of a 3D numerical simulation of our model for coronal jets. The simulations were performed with our state-of-art adaptive mesh MHD solver ARMS. The basic idea of the model is that a jet is due to the release of twist as a closed field region undergoes interchange reconnection with surrounding open field. We compare the structure and dynamics of the simulated jet with actual EUVI observations, focusing on how the reconfiguration of the 3D magnetic field explains observed properties of the jet. We also discuss possible signatures for STEREO of twisted structures within jets. Finally, we discuss the implications of our simulations for future stereoscopic observations with STEREO. This work was supported, in part, by NASA and ONR. Title: A Model for Coronal Hole Jets Authors: Antiochos, S. K.; Pariat, E.; DeVore, C. Bibcode: 2007AGUFMSH21B..01A Altcode: The recent observations from XRT on Hinode show dramatically that coronal hole are populated with intense X-ray jets that can reach heights of solar radii. These jets appear to originate from closed magnetic-field regions inside the holes; consequently, a natural explanation for these jets is that they are due to interchange reconnection between the open field of the hole and the closed field of an embedded bipole. This type of interchange reconnection has long been postulated as the driver, not only of coronal jets, but also for the solar wind itself. We argue, however, that the explosive nature of the jets imposes severe requirements on the reconnection that are not easily satisfied by realistic 3D models. In particular, the reconnection must have a "switch-on" nature in that it stays off until a substantial store of free energy has been accumulated, but then turns on abruptly and stays on until much of this free energy is released. We discuss the possible magnetic topologies of an embedded bipole in an open field region and present recent 3D simulations of a model in which interchange reconnection does, indeed, yield a large burst of energy release. We also discuss the implications of these results for the Hinode observations. This work was supported, in part, by NASA, ONR, and the NSF. Title: Spectrophotometric analysis of Ellerman bombs in the Ca II, Hα, and UV range Authors: Pariat, E.; Schmieder, B.; Berlicki, A.; Deng, Y.; Mein, N.; López Ariste, A.; Wang, S. Bibcode: 2007A&A...473..279P Altcode: Context: Even if Ellerman bombs have been observed in the Hα line within emerging magnetic flux regions since the early 20th century, their origin and the mechanisms that lead to their formation have been strongly debated. Recently, new arguments in favor of chromospheric magnetic reconnection have been advanced. Ellerman bombs seem to be the signature of reconnections that take place during the emergence of the magnetic field.
Aims: We have observed an active region presenting emergence of magnetic flux. We detected and studied Ellerman bombs in two chromospheric lines: Ca ii 8542 Å and Hα. We investigated the link between Ellerman bombs and other structures and phenomena appearing in an emerging active region: UV bright points, arch filament systems, and magnetic topology.
Methods: On August 3, 2004, we performed multi-wavelength observations of the active region NOAA 10655. This active region was the target of SoHO Joint Observation Program 157. Both SoHO/MDI and TRACE (195 Å and 1600 Å) were used. Simultaneously, we observed in the Ca ii and Na D1 lines with the spectro-imager MSDP mode of THEMIS. Alternately to the MSDP, we used the MTR spectropolarimeter on THEMIS to observe in Hα and in the Fe i doublet at 6302 Å. We derived the magnetic field vectors around some Ellerman bombs.
Results: We present the first images of EBs in the Ca ii line and confirm that Ellerman bombs can indeed be observed in the Ca ii line, presenting the same “moustache” geometry profiles as in the Hα line, but with a narrower central absorption in the Ca ii line, in which the peaks of emission are around ±0.35 Å. We noticed that the Ellerman bombs observed in the wings of Ca ii line have an elongated shape - the length about 50% greater than the width. We derived mean semi-axis lengths of 1.4'' × 2.0''. In the UV time profiles of the Ellerman bombs, we noticed successive enhanced emissions. The distribution of lifetimes of these individual impulses presents a strong mode around 210 s. Study of the magnetic topology shows that 9 out of the 13 EBs are located on the inversion line of the longitudinal field and that some typical examples might be associated with a bald patch topology.
Conclusions: We provide new arguments in favor of the reconnection origin of Ellerman bombs. The different individual impulses observed in UV may be related to a bursty mode of reconnection. We also show that this Ca ii 8542 Å chromospheric line is a good indicator of Ellerman bombs and can bring new information about these phenomena. Title: Spectrophotometry of Ellerman Bombs with THEMIS Authors: Pariat, E.; Schmieder, B.; Berlicki, A.; López Ariste, A. Bibcode: 2007ASPC..368..253P Altcode: During coordinated campaigns with THEMIS and space missions (TRACE, SOHO) emerging flux was observed in multi-wavelengths. Ellerman bombs (EBs) have been identified in TRACE 1600 Å and in chromospheric lines. The Hα and Ca II 8542 Å lines present two enhanced emission peaks respectively at 1 Å and at 0.35 Å which are signatures of EBs. Vector magnetic field measured in the photosphere are consistent with previous results indicating the presence of bald-patches under the EBs and consequently the emergence of horizontal flux tubes from below the photosphere. Title: Slip running reconnection in the Sun's atmosphere observed by RHESSI, SOHO, TRACE and Hinode Authors: Schmieder, B.; Aulanier, G.; Démoulin, P.; Pariat, E.; Golub, L. Bibcode: 2007AGUSMSH22A..01S Altcode: Solar double ribbon flares are commonly explained by magnetic field reconnections in the high corona. The bright ribbons, typically observed in Halpha, in EUV with SoHO, TRACE correspond to the ends of the reconnected loops. In most studied cases, the reconnection site is an X-point, where two magnetic separatrices intersect. In this presentation, we show a generalization of this model to 3D complex magnetic topologies where there are no null points, but quasi-separatrices layers instead. In that case, while the ribbons spread away during reconnection, we show that magnetic field lines can quickly slip along them. We propose that this new phenomenon could explain also fast moving HXR footpoints as observed by RHESSI, and that it may be observed in soft X rays with XRT. Title: Computing magnetic energy and helicity fluxes from series of magnetograms . Authors: Démoulin, P.; Pariat, E. Bibcode: 2007MmSAI..78..136D Altcode: Magnetic energy and helicity fluxes can now be derived from measurements of the photospheric magnetic and velocity fields. We show that only photospheric flux-tube motions are needed to estimate the full fluxes. The derived maps of flux densities permit to localize where energy and helicity input occurs in active regions (ARs). The precision of the energy flux density is dominantly limited by the precision obtained on the transverse component of the magnetic field. On the contrary, the helicity flux density requires only the measurement of the vertical component of the magnetic field. Previously, the magnetic helicity maps were strongly affected by a false definition of the helicity flux density involving the magnetic vector potential. Applied to observations, this approach introduces important fake polarities. We define a better helicity flux density; it reduces the fake polarities by more than an order of magnitude. The spatial distribution of helicity injected into the studied ARs is much more coherent than previously thought, and presents a dominant sign in each AR. Finally, the correct helicity flux density could be derived from magnetograms if coronal connectivities are known. Title: How to improve the maps of magnetic helicity injection in active regions? Authors: Pariat, Etienne; Démoulin, Pascal; Nindos, Alexander Bibcode: 2007AdSpR..39.1706P Altcode: Magnetic helicity, a topological quantity which measures the twist, the writhe and the shear of a magnetic field, has recently appeared as a key quantity to understand some mechanisms of the solar activity such as Coronal Mass Ejections and flare onset. It is thus becoming of major importance to be able to compute magnetic helicity in active regions. Computing photospheric maps of the injection of magnetic helicity provides new spatial information that helps us to understand basic properties of solar activity, such as where and how magnetic helicity is injected. Several helicity flux density maps have been published for different active regions. Unfortunately, the classical helicity flux density is not a correct physical quantity and it does induce spurious signals (fake polarities) which mask the real injection of helicity. To map the real helicity injection, the knowledge of the complete connectivity of the field lines is fundamental. Even without the connectivity, improved helicity flux density maps can be derived. They have fake polarities which are lower by more than a factor 10 than the previous incorrect maps. Rather than a mixture of negative and positive injection patterns, they show almost unipolar injection on the active region scale. This leads to a completely new way of understanding the dynamics of active regions, in the frame of magnetic helicity studies. Title: Companion Event and Precursor of the X17 Flare on 28 October 2003 Authors: Mandrini, C. H.; Demoulin, P.; Schmieder, B.; Deluca, E. E.; Pariat, E.; Uddin, W. Bibcode: 2006SoPh..238..293M Altcode: 2006SoPh..tmp...79M A major two-ribbon X17 flare occurred on 28 October 2003, starting at 11:01 UT in active region NOAA 10486. This flare was accompanied by the eruption of a filament and by one of the fastest halo coronal mass ejections registered during the October-November 2003 strong activity period. We focus on the analysis of magnetic field (SOHO/MDI), chromospheric (NainiTal observatory and TRACE), and coronal (TRACE) data obtained before and during the 28 October event. By combining our data analysis with a model of the coronal magnetic field, we concentrate on the study of two events starting before the main flare. One of these events, evident in TRACE images around one hour prior to the main flare, involves a localized magnetic reconnection process associated with the presence of a coronal magnetic null point. This event extends as long as the major flare and we conclude that it is independent from it. A second event, visible in Hα and TRACE images, simultaneous with the previous one, involves a large-scale quadrupolar reconnection process that contributes to decrease the magnetic field tension in the overlaying field configuration; this allows the filament to erupt in a way similar to that proposed by the breakout model, but with magnetic reconnection occurring at Quasi-Separatrix Layers (QSLs) rather than at a magnetic null point. Title: Slip-Running Reconnection in Quasi-Separatrix Layers Authors: Aulanier, G.; Pariat, E.; Démoulin, P.; Devore, C. R. Bibcode: 2006SoPh..238..347A Altcode: 2006SoPh..tmp...62A; 2006SoPh..tmp...81A Using time dependent MHD simulations, we study the nature of three-dimensional magnetic reconnection in thin quasi-separatrix layers (QSLs), in the absence of null points. This process is believed to take place in the solar atmosphere, in many solar flares and possibly in coronal heating. We consider magnetic field configurations which have previously been weakly stressed by asymmetric line-tied twisting motions and whose potential fields already possessed thin QSLs. When the line-tied driving is suppressed, magnetic reconnection is solely due to the self-pinching and dissipation of narrow current layers previously formed along the QSLs. A generic property of this reconnection process is the continuous slippage of magnetic field lines along each other, while they pass through the current layers. This is contrary to standard null point reconnection, in which field lines clearly reconnect by pair and abruptly exchange their connectivities. For sufficiently thin QSLs and high resistivities, the field line footpoints slip-run at super-Alfvénic speeds along the intersection of the QSLs with the line-tied boundary, even though the plasma velocity and resistivity are there fixed to zero. The slip-running velocities of a given footpoint have a well-defined maximum when the field line crosses the thinnest regions of the QSLs. QSLs can then physically behave as true separatrices on MHD time scales, since magnetic field lines can change their connections on time scales far shorter than the travel-time of Alfvén waves along them. Since particles accelerated in the diffusive regions travel along the field much faster than the Alfvén speed, slip-running reconnection may also naturally account for the fast motion of hard X-ray sources along chromospheric ribbons, as observed during solar flares. Title: Injection of magnetic flux and helicity in the solar atmosphere Authors: Pariat, E. Bibcode: 2006PhDT.........7P Altcode: This thesis is related to the mechanisms of emergence into the solar atmosphere, of two quantities playing key roles in solar activity: magnetic flux and magnetic helicity. Helicity, which is a topological measure of twist and shear, is believed to be a conserved quantity for solar conditions, in the frame of magnetohydrodynamics (MHD). A crucial phase in the emergence process of these quantities, which are generated and amplified in the solar interior, are their injection through the solar photosphere, the transition region between the solar interior and atmosphere. The first part of my work provided new answers to questions unsolved by the classical scenario of emergence. I have analyzed multi-wavelength observations (FGE, TRACE, SoHO, THEMIS) of an emerging active region. I demonstrated that magnetic flux tubes emerge with a flat undulated shape and that small scale magnetic reconnection events, are necessary to this emergence process. Then, using a 3D MHD numerical simulation, I studied the mechanism of magnetic reconnection and in particular the natural formation of current layers where regions of strong variations of magnetic connectivity, called quasi-separatrix layers, are present. Finally, I demonstrated that the classical definition of helicity flux density is biased and proposed a more accurate definition. I applied my new definition to observations of active regions and showed that the photospheric injection pattern of magnetic helicity is unipolar and homogenous. This study allows to link the generation of helicity in the solar atmosphere, its injection and its distribution in the solar corona and its ejection in the interplanetary medium. Title: A new concept for magnetic reconnection : slip-running reconnection Authors: Pariat, E.; Aulanier, G.; Démoulin, P. Bibcode: 2006sf2a.conf..559P Altcode: In magnetohydrodynamics (MHD), most models of magnetic reconnection suppose that this mechanism takes places when the magnetic field configuration contains separatrices. Separatrices are surfaces through which the magnetic field connectivity is discontinuous. But such topological structures are not always present when solar flares takes place. Quasi-separatrix layers (QSLs), which are regions of strong variations of magnetic connectivity, are a generalisation of separatrices. Using a 3D MHD simulation of several solar-like magnetic configurations containing QSLs, we investigated the link between the build-up of current layers and the location of QSLs. Thin current sheets are naturally formed along QSLs whatever the line-tied boundary driven motions are. When the line-tied driving is suppressed, magnetic reconnection is solely due to the self-pinching and dissipation of narrow current layers. In this reconnection process, field line continuously slip along each other while they pass through the current layers. This slip-running reconnection may naturally account for the fast motion of hard X-ray sources along chromospheric ribbons, as observed during solar flares. Title: What is the spatial distribution of magnetic helicity injected in a solar active region? Authors: Pariat, E.; Nindos, A.; Démoulin, P.; Berger, M. A. Bibcode: 2006A&A...452..623P Altcode: Context: .Magnetic helicity is suspected to play a key role in solar phenomena such as flares and coronal mass ejections. Several investigations have recently computed the photospheric flux of magnetic helicity in active regions. The derived spatial maps of the helicity flux density, called G_A, have an intrinsic mixed-sign patchy distribution.
Aims: . Pariat et al. (2005) recently showed that GA is only a proxy of the helicity flux density, which tends to create spurious polarities. They proposed a better proxy, Gθ. We investigate here the implications of this new approach on observed active regions.
Methods: . The magnetic data are from MDI/SoHO instrument and the photospheric velocities are computed by local correlation tracking. Maps and temporal evolution of GA and Gθ are compared using the same data set for 5 active regions.
Results: . Unlike the usual GA maps, most of our Gθ maps show almost unipolar spatial structures because the nondominant helicity flux densities are significantly suppressed. In a few cases, the Gθ maps still contain spurious bipolar signals. With further modelling we infer that the real helicity flux density is again unipolar. On time-scales larger than their transient temporal variations, the time evolution of the total helicity fluxes derived from GA and Gθ show small differences. However, unlike G_A, with Gθ the time evolution of the total flux is determined primarily by the predominant-signed flux while the nondominant-signed flux is roughly stable and probably mostly due to noise.
Conclusions: .Our results strongly support the conclusion that the spatial distribution of helicity injected into active regions is much more coherent than previously thought: on the active region scale the sign of the injected helicity is predominantly uniform. These results have implications for the generation of the magnetic field (dynamo) and for the physics of both flares and coronal mass ejections. Title: Basic Properties of Mutual Magnetic Helicity Authors: Demoulin, P.; Pariat, E.; Berger, M. A. Bibcode: 2006SoPh..233....3D Altcode: We derive the magnetic helicity for configurations formed by flux tubes contained fully or only partially in the spatial domain considered (called closed and open configurations, respectively). In both cases, magnetic helicity is computed as the sum of mutual helicity over all possible pairs of magnetic flux tubes weighted by their magnetic fluxes. We emphasize that these mutual helicities have properties which are not those of mutual inductances in classical circuit theory. For closed configurations, the mutual helicity of two closed flux tubes is their relative winding around each other (known as the Gauss linkage number). For open configurations, the magnetic helicity is derived directly from the geometry of the interlaced flux tubes so it can be computed without reference to a ground state (such as a potential field). We derive the explicit expression in the case of a planar and spherical boundary. The magnetic helicity has two parts. The first one is given only by the relative positions of the flux tubes on the boundary. It is the only part if all flux tubes are arch-shaped. The second part counts the integer number of turns each pair of flux tubes wind about each other. This provides a general method to compute the magnetic helicity with discrete or continuous distributions of magnetic field. The method sets closed and open configurations on an equal level within the same theoretical framework. Title: Magnetic reconfiguration before the X 17 Solar flare of October 28 2003 Authors: Schmieder, B.; Mandrini, C. H.; Démoulin, P.; Pariat, E.; Berlicki, A.; Deluca, E. Bibcode: 2006AdSpR..37.1313S Altcode: An active region (AR) NOAA 10486, which produced a large number of X-ray flares during October November 2003, was observed during a multi-wavelength campaign with ground based and space instruments. We focus our analysis on the observations of October 28, 2003. The magnetic field was observed with THEMIS (Na D1) and MDI (Ni I), the chromosphere with THEMIS (Ca II 8542 Å) and with the Meudon heliograph in Hα, the EUV images with SOHO/EIT and TRACE. Two pre-events started just before the major X 17 flare. One was related to localized flux emergence and lasted until the decay phase of the X flare; while the second one involved a large scale quadrupolar reconnection, that we infer by modeling the AR magnetic field. Extended dimming areas across the equator (EIT), large arcades of post-flare loops (TRACE 195 Å) and a halo CME (LASCO) were observed consequently after the flare. We perform an extrapolation of the magnetic field above the photosphere using a linear force-free-field approximation that allows us to find the connectivity among the four polarities that would be involved in the quadrupolar reconnection event. The X 17 flare is plausibly due to the destabilisation of a twisted flux tube, the bottom part of this magnetic structure can be visualized by the presence of a filament. The destabilization is caused by converging and shearing photospheric motions towards the main magnetic inversion line. The large scale quadrupolar reconnection related to the second pre-event would favour the opening of the field above the twisted flux tube and, consequently, the coronal mass ejection. Title: On the origin of the 28 October 2003 X17 event and its companion event Authors: Mandrini, C. H.; Demoulin, P.; Schmieder, B.; de Luca, E. E.; Pariat, E.; Uddin, W. Bibcode: 2006BAAA...49..109M Altcode: An X17 flare started at 11:01 UT on 28 October, 2003, in active region (AR) NOAA 10486. This event was accompanied by a filament eruption and one of the fastest coronal mass ejections (CMEs) observed during the extreme activity period of October-November 2003. Combining chromospheric, coronal and magnetic field data with modeling, we concentrate in the study of two events that started before the X17 flare. One of them, which appears in UV images one hour before the major event, is associated with localized magnetic reconnection occurring at a magnetic mull point. T his event lasts as long as the X17 flare and our analysis indicates that it is independent of it. The other one, visible in Hα and UV images and simultaneous with the previous one, is related to a large scale quadrupolar reconnection process. This process is similar to the one proposed by the breakout model for the initiation of CMEs, but it takes place at quasiseparatrices and not in null points. These results will be published in Solar Physics. Title: Emergence of undulatory magnetic flux tubes by small scale reconnections Authors: Pariat, E.; Aulanier, G.; Schmieder, B.; Georgoulis, M. K.; Rust, D. M.; Bernasconi, P. N. Bibcode: 2006AdSpR..38..902P Altcode: With Flare Genesis Experiment (FGE), a balloon borne observatory launched in Antarctica on January 2000, series of high spatial resolution vector magnetograms, Dopplergrams, and Hα filtergrams have been obtained in an emerging active region (AR 8844). Previous analyses of this data revealed the occurence of many short-lived and small-scale H α brightenings called 'Ellerman bombs' (EBs) within the AR. We performed an extrapolation of the field above the photosphere using the linear force-free field approximation. The analysis of the magnetic topology reveals a close connexion between the loci of EBs and the existence of "Bald patches" (BP) regions (BPs are regions where the vector magnetic field is tangential to the photosphere). Some of these EBs/BPs are magnetically connected by low-lying field lines, presenting a serpentine shape. This results leads us to conjecture that arch filament systems and active regions coronal loops do not result from the smooth emergence of large scale Ω-loops, but rather from the rise of flat undulatory flux tubes which get released from their photospheric anchorage by reconnection at BPs, which observational signature is Ellerman bombs. Title: How to derive the real pattern of magnetic helicity injection in an active region? Authors: Pariat, E.; Nindos, A.; Démoulin, P.; Berger, M. Bibcode: 2006cosp...36..851P Altcode: 2006cosp.meet..851P Magnetic helicity a topological quantity which measures the twist the writhe and the shear of a magnetic field has recently appeared as a key quantity to understand some mechanisms of the solar activity such as Coronal Mass Ejections and flare onset It is thus becoming of major importance to be able to compute magnetic helicity in active regions Looking at the pattern of the photospheric injection of magnetic helicity may provide new useful pieces of information to understand the basic properties of solar activity If several helicity flux density maps were published no one yet wondered if helicity flux density is a correct physical quantity Unfortunately the classical helicity flux density do induce spurious signal fake polarities which mask the real injection of helicity To map the real helicity injection the knowledge of the complete connectivity of the field lines is fundamental Even without the connectivity improved helicity flux density maps can be derived which present strong differences with the previous incorrect maps This leads to a complete new way of understanding the dynamics of the active region in the frame of the magnetic helicity study Title: Current sheet formation in quasi-separatrix layers and hyperbolic flux tubes Authors: Aulanier, G.; Pariat, E.; Démoulin, P. Bibcode: 2005A&A...444..961A Altcode: In 3D magnetic field configurations, quasi-separatrix layers (QSLs) are defined as volumes in which field lines locally display strong gradients of connectivity. Considering QSLs both as the preferential locations for current sheet development and magnetic reconnection, in general, and as a natural model for solar flares and coronal heating, in particular, has been strongly debated issues over the past decade. In this paper, we perform zero-β resistive MHD simulations of the development of electric currents in smooth magnetic configurations which are, strictly speaking, bipolar though they are formed by four flux concentrations, and whose potential fields contain QSLs. The configurations are driven by smooth and large-scale sub-Alfvénic footpoint motions. Extended electric currents form naturally in the configurations, which evolve through a sequence of quasi non-linear force-free equilibria. Narrow current layers also develop. They spontaneously form at small scales all around the QSLs, whatever the footpoint motions are. For long enough motions, the strongest currents develop where the QSLs are the thinnest, namely at the Hyperbolic Flux Tube (HFT), which generalizes the concept of separator. These currents progressively take the shape of an elongated sheet, whose formation is associated with a gradual steepening of the magnetic field gradients over tens of Alfvén times, due to the different motions applied to the field lines which pass on each side of the HFT. Our model then self-consistently accounts for the long-duration energy storage prior to a flare, followed by a switch-on of reconnection when the currents reach the dissipative scale at the HFT. In configurations whose potential fields contain broader QSLs, when the magnetic field gradients reach the dissipative scale, the currents at the HFT reach higher magnitudes. This implies that major solar flares which are not related to an early large-scale ideal instability, must occur in regions whose corresponding potential fields have broader QSLs. Our results lead us to conjecture that physically, current layers must always form on the scale of the QSLs. This implies that electric currents around QSLs may be gradually amplified in time only if the QSLs are broader than the dissipative length-scale. We also discuss the potential role of QSLs in coronal heating in bipolar configurations made of a continuous distribution of flux concentrations. Title: Observation of Small Scale Reconnection Role in Undulated Flux Tube Emergence Authors: Pariat, E.; Aulanier, G.; Schmieder, B.; Georgoulis, M. K.; Rust, D. M.; Bernasconi, P. N. Bibcode: 2005ESASP.596E..34P Altcode: 2005ccmf.confE..34P No abstract at ADS Title: Erratum: Photospheric flux density of magnetic helicity Authors: Pariat, E.; Démoulin, P.; Berger, M. A. Bibcode: 2005A&A...442.1105P Altcode: No abstract at ADS Title: Photospheric flux density of magnetic helicity Authors: Pariat, E.; Démoulin, P.; Berger, M. A. Bibcode: 2005A&A...439.1191P Altcode: Several recent studies have developed the measurement of magnetic helicity flux from the time evolution of photospheric magnetograms. The total flux is computed by summing the flux density over the analyzed region. All previous analyses used the density GA (=-2 ( A\cdot {u}) B_n) which involves the vector potential A of the magnetic field. In all the studied active regions, the density GA has strong polarities of both signs with comparable magnitude. Unfortunately, the density GA can exhibit spurious signals which do not provide a true helicity flux density. The main objective of this study is to resolve the above problem by defining the flux of magnetic helicity per unit surface. In a first step, we define a new density, Gθ, which reduces the fake polarities by more than an order of magnitude in most cases (using the same photospheric data as G_A). In a second step, we show that the coronal linkage needs to be provided in order to define the true helicity flux density. It represents how all the elementary flux tubes move relatively to a given elementary flux tube, and the helicity flux density is defined per elementary flux tube. From this we define a helicity flux per unit surface, GΦ. We show that it is a field-weighted average of Gθ at both photospheric feet of coronal connections. We compare these three densities (G_A, Gθ, GΦ) using theoretical examples representing the main cases found in magnetograms (moving magnetic polarities, separating polarities, one polarity rotating around another one and emergence of a twisted flux tube). We conclude that Gθ is a much better proxy of the magnetic helicity flux density than GA because most fake polarities are removed. Indeed Gθ gives results close to GΦ and should be used to monitor the photospheric injection of helicity (when coronal linkages are not well known). These results are applicable to the results of any method determining the photospheric velocities. They can provide separately the flux density coming from shearing and advection motions if plasma motions are known. Title: Flux tube emergence, from photosphere to corona Authors: Pariat, E.; Schmieder, B.; Aulanier, G. Bibcode: 2004sf2a.conf..103P Altcode: 2004sf2a.confE.339P From a campaign of multi-wavelength observations of an emerging active region, we have studied the dynamics of the solar atmosphere due to this emergence and the magnetic field topology of the active region. In addition with the observations obtained with Yohkoh, SOHO and TRACE, a balloon borne 80 cm telescope (Flare Genesis Experiment) provided us a series of high spatial resolution vector magnetograms. For the first time we highlight that magnetic flux tubes do not directly emerge with a large Omega-loop shape, as suggest the TRACE observations of the corona, but rather within an undulatory shape. We demonstrated that the resistive Parker instability allows the flux tube to go through the low atmosphere.

This result has been obtained by performing an extrapolation of the field above the active region. Title: Resistive Emergence of Undulatory Flux Tubes Authors: Pariat, E.; Aulanier, G.; Schmieder, B.; Georgoulis, M. K.; Rust, D. M.; Bernasconi, P. N. Bibcode: 2004ApJ...614.1099P Altcode: During its 2000 January flight, the Flare Genesis Experiment observed the gradual emergence of a bipolar active region, by recording a series of high-resolution photospheric vector magnetograms and images in the blue wing of the Hα line. Previous analyses of these data revealed the occurrence of many small-scale, transient Hα brightenings identified as Ellerman bombs (EBs). They occur during the flux emergence, and many of them are located near moving magnetic dipoles in which the vector magnetic field is nearly tangential to the photosphere. A linear force-free field extrapolation of one of the magnetograms was performed to study the magnetic topology of small-scale EBs and their possible role in the flux emergence process. We found that 23 out of 47 EBs are cospatial with bald patches (BPs), while 15 are located at the footpoints of very flat separatrix field lines passing through distant BPs. We conclude that EBs can be due to magnetic reconnection, not only at BP locations, but also along their separatrices, occurring in the low chromosphere. The topological analysis reveals, for the first time, that many EBs and BPs are linked by a hierarchy of elongated flux tubes showing aperiodic spatial undulations, whose wavelengths are typically above the threshold of the Parker instability. These findings suggest that arch filament systems and coronal loops do not result from the smooth emergence of large-scale Ω-loops from below the photosphere, but rather from the rise of undulatory flux tubes whose upper parts emerge because of the Parker instability and whose dipped lower parts emerge because of magnetic reconnection. EBs are then the signature of this resistive emergence of undulatory flux tubes. Title: Emergence of undulatory magnetic flux tubes by small scale reconnections Authors: Pariat, E.; Aulanier, G.; Schmieder, B.; Georgoulis, M. K.; Rust, D. M.; Bernasconi, P. N. Bibcode: 2004cosp...35.1482P Altcode: 2004cosp.meet.1482P With Flare Genesis Experiment (FGE), a balloon borne observatory launched in Antarctica on January 2000, series of high spatial resolution vector magnetograms, Dopplergrams, and Hα filtergrams have been obtained in an emerging active region (AR 8844). Previous analyses of this data revealed the occurence of many short-lived and small-scale Hα brightenings called 'Ellerman bombs' (EBs) within the AR. We performed an extrapolation of the field above the photosphere using the linear force-free field approximation. The analysis of the magnetic topology reveals a close connexion between the loci of EBs and the existence of ``Bald patches'' regions (BPs are regions where the vector magnetic field is tangential to the photosphere). Among 47 identified EBs, we found that 23 are co-spatial with a BP, while 19 are located at the footpoint of very flat separatrix field lines passing throught a distant BP. We reveal for the first time that some of these EBs/BPs are magneticaly connected by low-lying lines, presenting a 'sea-serpent' shape. This results leads us to conjecture that arch filament systems and active regions coronal loops do not result from the smooth emergence of large scale Ω loops, but rather from the rise of flat undulatory flux tubes which get released from their photospheric anchorage by reconnection at BPs, whose observational signature is Ellerman bombs. Title: Flare Genesis Experiment: magnetic topology of Ellerman bombs Authors: Schmieder, B.; Pariat, E.; Aulanier, G.; Georgoulis, M. K.; Rust, D. M.; Bernasconi, P. N. Bibcode: 2002ESASP.506..911S Altcode: 2002svco.conf..911S; 2002ESPM...10..911S Flare Genesis Experiment (FGE), a balloon borne Observatory was launched in Antarctica on January 10, 2000 and flew during 17 days. FGE consists of an 80 cm Cassegrain telescope with an F/1.5 ultra-low-expansion glass primary mirror and a crystalline silicon secondary mirror. A helium-filled balloon carried the FGE to an altitude of 37 km (Bernasconi et al. 2000, 2001). We select among all the observations a set of high spatial and temporal resolution observations of an emerging active region with numerous Ellerman bombs (EBs). Statistical and morphology analysis have been performed. We demonstrate that Ellerman bombs are the result of magnetic reconnection in the low chromosphere by a magnetic topology analysis. The loci of EBs coincide with "bald patches" (BPs). BPs are regions where the vector field is tangential to the boundary (photosphere) along an inversion line. We conclude that emerging flux through the photosphere is achieved through resistive emergence of U loops connecting small Ω loops before rising in the chromosphere and forming Arch Filament System (AFS). Title: Vector magnetic field observations of flux tube emergence Authors: Schmieder, B.; Aulanier, G.; Pariat, E.; Georgoulis, M. K.; Rust, D. M.; Bernasconi, P. N. Bibcode: 2002ESASP.505..575S Altcode: 2002IAUCo.188..575S; 2002solm.conf..575S With Flare Genesis Experiment (FGE), a balloon borne Observatory high spatial and temporal resolution vector magnetograms have been obtained in an emerging active region. The comparison of the observations (FGE and TRACE) with a linear force-free field analysis of the region shows where the region is non-force-free. An analysis of the magnetic topology furnishes insights into the existence of "bald patches" regions (BPs are regions where the vector field is tangential to the boundary (photosphere) along an inversion line). Magnetic reconnection is possible and local heating of the chromopshere is predicted near the BPs. Ellerman bombs (EBs) were found to coincide with few BPs computed from a linear force-free extrapolation of the observed longitudinal field. But when the actual observations of transverse fields were used to identify BPs, then the correspondence with EB positions improved significantly. We conclude that linear force-free extrapolations must be done with the true observed vertical fields, which require the measurement of the three components of the magnetic field.