pith. sign in

arxiv: 2606.31194 · v1 · pith:PVXMXGBXnew · submitted 2026-06-30 · 🌌 astro-ph.SR

Formation and Eruption of Filament Channel in Solar Active Region 12975: Insights from Observations and Simulations of Magnetic Field Evolution

Dinesh Mishra , P. Vemareddy , Brajesh Kumar This is my paper

Pith reviewed 2026-07-01 03:56 UTC · model grok-4.3

classification 🌌 astro-ph.SR
keywords solar active regionfilament channelflux ropemagnetofrictional modelmagnetic helicitycoronal mass ejectiontorus instabilityphotospheric magnetogram
0
0 comments X

The pith

A magnetofrictional simulation driven by photospheric magnetograms reproduces the 50-hour buildup of a sigmoidal flux rope in active region 12975 and tracks its helicity evolution up to eruption.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper applies a time-dependent magnetofrictional model to vector magnetogram data from active region 12975 to follow the formation of a filament channel that produces two CMEs. The model shows a twisted flux rope developing gradually over roughly 50 hours through flux emergence and shear, with magnetic energy and helicity injection matching observations. At the observed eruption time the current-carrying to total relative helicity ratio reaches 0.23, yet the torus-unstable regime appears only later when the ratio hits 0.32. The simulation also reveals that the rope forms next to pre-existing fields, so a large fraction of the modeled coronal volume lies outside the rope system and alters the helicity thresholds from the often-cited 0.29 value.

Core claim

The time-dependent magnetofrictional simulation, initialized from magnetograms on 26 March and driven by derived electric fields, reproduces the observed coronal evolution including the gradual development of a sigmoidal twisted flux rope over approximately 50 hours. The modeled magnetic energy and helicity inside the domain track the observed injection; the current-carrying to total relative helicity ratio reaches 0.23 at the observed eruption time of 28 March 12:00 UT, while the torus-unstable regime is reached at a ratio of 0.32 about seven hours later. The flux rope forms adjacent to pre-existing magnetic fields, so a substantial portion of the coronal structure does not belong to the ro

What carries the argument

Time-dependent magnetofrictional (TMF) model driven by electric fields derived from a time series of photospheric vector magnetograms, used to evolve the three-dimensional coronal field and identify the flux-rope boundary via helicity ratios.

If this is right

  • Magnetic energy and helicity injection in the computational domain remain consistent with observed values throughout the 50-hour evolution.
  • The current-carrying to total relative helicity ratio reaches 0.23 precisely at the observed eruption time.
  • Torus instability sets in only when the helicity ratio reaches 0.32, seven hours after the observed eruption.
  • Because the rope forms next to pre-existing fields, the helicity thresholds deviate from the value 0.29 proposed in earlier studies.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar modeling of other active regions may need region-specific helicity thresholds rather than a universal 0.29 value.
  • Improved methods to isolate the flux-rope volume from surrounding fields could tighten the agreement between simulated and observed eruption timing.
  • The seven-hour offset between the 0.23 ratio and torus instability suggests additional triggers such as reconnection with adjacent fields may initiate the observed eruption.

Load-bearing premise

The magnetofrictional model and the photospheric electric fields derived from magnetograms correctly capture the three-dimensional coronal field evolution and permit reliable identification of the flux-rope boundary even when adjacent pre-existing fields are present.

What would settle it

A direct comparison showing that the simulated sigmoidal structure or the timing of the 0.23 helicity ratio does not match the observed filament-channel morphology or the 28 March 12:00 UT eruption time would falsify the reproduction claim.

Figures

Figures reproduced from arXiv: 2606.31194 by Brajesh Kumar, Dinesh Mishra, P. Vemareddy.

Figure 1
Figure 1. Figure 1: Relative positions of SDO, Solar Orbiter (SolO), and STEREO-A during the March 28, 2022 filament eruption. This geometric configuration enabled multi-perspective observations from three distinct vantage points. This visualisation is created using Solar MACH (J. Gieseler et al. 2023). Berger, M. A., & Field, G. B. 1984, Journal of Fluid Mechanics, 147, 133, doi: 10.1017/S0022112084002019 Bobra, M. G., Sun, … view at source ↗
Figure 2
Figure 2. Figure 2: Multi-viewpoint EUV observations of the AR 12975 on March 28, 2022 from STEREO-A/EUVI, SDO/AIA, and Solar Orbiter/EUI-FSI. The top row shows full-disk images in the 171 Å (STEREO-A and AIA) and 174 Å (SolO-EUI FSI) channels, where the red rectangles indicate the region of interest. The middle row presents zoomed-in views of the same region in the corresponding coronal wavelengths, highlighting the filament… view at source ↗
Figure 3
Figure 3. Figure 3: Multi-view observations of the eruption on March 28, 2022 from three heliospheric vantage points, showing the associated CME propagating into the outer corona. Panels (a) and (d) show STEREO-A/EUVI 195 Å running-difference images, highlighting the expansion of CME the early eruption phase. Panels (b) and (e) present SOLO/EUI-FSI 304 Å running-difference images, where the erupting filament core and surround… view at source ↗
Figure 4
Figure 4. Figure 4: Evolution of the vector magnetic fields in AR 12975 at four representative times during March 26 to 28, 2022. The background shows the vertical magnetic field components (positive polarity in white, negative in black). Overplotted arrows represent the transverse magnetic fields, colored by vertical polarity (red in positive, green in negative regions). The yellow polygon encloses the magnetic fluxes being … view at source ↗
Figure 5
Figure 5. Figure 5: Top: Temporal evolution of the magnetic flux in AR 12975, with positive (red) and negative (blue) polarities. The GOES soft X-ray light curve (grey) is also overplotted for comparison. Middle: Temporal profile of the magnetic helicity injection rate (red) and the accumulated helicity (blue) in AR 12975. Bottom: Temporal evolution of the magnetic energy injection rate (red) and the accumulated magnetic ener… view at source ↗
Figure 6
Figure 6. Figure 6: Top: Temporal evolution of the magnetic energy injection rate (blue) and the accumulated magnetic energy (red) observationally. Bottom: Temporal evolution of magnetic energy for U = 120 m s−1 (blue), U = 150 m s−1 (red), U = 180 m s−1 (green) [PITH_FULL_IMAGE:figures/full_fig_p015_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: Comparison of the simulated structure with the observations. First column panels show top view of the simulated coronal magnetic fields at 24 hr, 30 hr, and 48 hr. Traced magnetic field lines are overplotted on a grayscale map of the vertical magnetic field component, Bz, illustrating the progressive development of a sheared and sigmoidal magnetic configuration. Second, third and fourth column panels displ… view at source ↗
Figure 8
Figure 8. Figure 8: Rendered magnetic structure at 50hr, 60hr, 70hr in the top view in the first row, and perspective view in the second row panels. The structure mimics the sigmoid which becomes prominent as it builds up. Third row panels display the field line twist derived in a plane placed across the FR (vertical yellow line) which discern the upward rise motion of the sigmoidal FR. Red (blue) color refers to a negative (… view at source ↗
Figure 9
Figure 9. Figure 9: Comparison of the modeled FR with SoLO observations. Left panels: The magnetic field lines from the simulation showing the FR structure at two representative times (top: t = 53 hr; bottom: t = 67 hr). The red line indicates the direction along which the apex height of the FR is measured. The corresponding heights are ∼ 22.3 Mm and ∼ 34.4 Mm, respectively. Right panels: Limb-view EUV images from SolO at 10:… view at source ↗
Figure 10
Figure 10. Figure 10: Decay-index profiles above the polarity inversion line (PIL) at different simulation times (T = 50, 55, 60, 65, and 70 hr). The solid curves represent the decay index n, while the dashed curves show the corresponding horizontal magnetic field strength Bh as a function of height. The horizontal dashed black line marks the torus-instability threshold (n = 1.5). The gradual rise of the flux rope above the cr… view at source ↗
Figure 11
Figure 11. Figure 11: Time evolution of magnetic quantities for the three flux-emergence driving speeds: 120 m/s (blue), 150 m/s (orange), and 180 m/s (green). Top panel: Total magnetic energy E(t) in units of 1032 erg. Middle panel: Free magnetic energy Efree = E − Ep, where Ep is the potential-field energy. Bottom panel: Fraction of free magnetic, Efree/Etot. Vertical dashed lines denote the onset time of the eruption [PITH… view at source ↗
Figure 12
Figure 12. Figure 12: Time evolution of magnetic quantities for the three flux-emergence driving speeds: 120 m/s (blue), 150 m/s (orange), and 180 m/s (green). Top panel: Current-carrying helicity Hj (t) (in units of 1042 Mx2 ). Middle panel: Total relative magnetic helicity HV in the coronal volume (in units of 1042 Mx2 ). Bottom panel: Ratio |Hj|/|HV | (Bottom panel) indicating the fractional contribution of the non-potentia… view at source ↗
read the original abstract

We studied the magnetic field evolution of active region (AR) 12975 using a time-dependent magnetofrictional (TMF) model. This AR produced two consecutive CMEs associated with M-class flares on March 28, 2022. The AR exhibited a simple bipolar configuration, with new bipolar flux emerging from March 27. These emerging flux regions evolved through shear motions, forming a filament-channel that ultimately erupted on March 28 at 12:00 UT. The simulation, initialized at 12:00 UT on March 26, is driven by electric fields derived from a time-series of photospheric vector-magnetograms. It reproduces the observed coronal evolution, including the gradual development of a sigmoidal, twisted flux rope (FR) over approximately 50 hours. The modeled temporal evolution of magnetic energy and helicity within the computational domain is consistent with the observed injection of both quantities. Furthermore, the ratio of current-carrying to total relative helicity reaches 0.23 at the time of observed eruption, however the torus-unstable regime is attained when the helicity ratio reaches 0.32, approximately 7 hr after the observed eruption. Notably, the FR forms adjacent to pre-existing magnetic fields, and a substantial portion of the coronal structure does not belong to the FR system. Consequently, the derived helicity thresholds vary and deviate from the proposed value of 0.29. While reproducing filament formation with high morphological accuracy, this study underscores the quantitative challenges involved in modeling and evaluating the eruptive behavior of different ARs.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript applies a time-dependent magnetofrictional (TMF) model to active region 12975, initialized from vector magnetograms at 12:00 UT on 26 March 2022 and driven by derived photospheric electric fields. The simulation reproduces the gradual formation of a sigmoidal, twisted flux rope over ~50 hours, with modeled magnetic energy and helicity evolution consistent with observed injection. It reports that the ratio of current-carrying to total relative helicity reaches 0.23 at the observed eruption time (28 March 12:00 UT), while the torus-unstable regime is reached at a ratio of 0.32 approximately 7 hours later. The study notes that the flux rope forms adjacent to pre-existing fields, with a substantial portion of the coronal structure not belonging to the FR system, causing the derived thresholds to deviate from the literature value of 0.29.

Significance. If the 3D field evolution and FR boundary can be shown to be robust, the work provides a concrete example of how observation-driven TMF modeling can link photospheric driving to coronal eruption triggers, while underscoring quantitative difficulties in applying helicity-based instability criteria to real ARs that contain mixed flux systems. The morphological fidelity to the observed filament channel is a clear strength.

major comments (2)
  1. [Abstract and helicity results section] Abstract and § on helicity results: the reported values 0.23 (at observed eruption) and 0.32 (torus onset) rest on the separation of the erupting FR volume from adjacent pre-existing fields. The manuscript states that “a substantial portion of the coronal structure does not belong to the FR system,” yet provides no explicit criteria, isosurface thresholds, or connectivity-based method for defining this volume in the 3D grid; without such documentation the numerical thresholds lose quantitative meaning.
  2. [Results on torus instability timing] Results on torus instability timing: the 7-hour delay between observed eruption and the model reaching the 0.32 ratio is presented as a finding, but the manuscript does not quantify how sensitive this timing is to plausible variations in the FR boundary definition or to uncertainties in the input electric-field maps; this sensitivity directly affects the claim that the model reproduces the eruptive behavior.
minor comments (2)
  1. Figure captions should explicitly state the integration volume used for the global energy and helicity time series versus the sub-volume used for the FR-specific ratio.
  2. The abstract states consistency with observed injection but does not report the quantitative metric (e.g., correlation coefficient or normalized rms difference) used to establish that consistency.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for the constructive comments. We address each major point below, agreeing to document the FR volume definition explicitly while noting that full quantitative sensitivity analysis lies beyond the present study scope.

read point-by-point responses

  1. Referee: [Abstract and helicity results section] Abstract and § on helicity results: the reported values 0.23 (at observed eruption) and 0.32 (torus onset) rest on the separation of the erupting FR volume from adjacent pre-existing fields. The manuscript states that “a substantial portion of the coronal structure does not belong to the FR system,” yet provides no explicit criteria, isosurface thresholds, or connectivity-based method for defining this volume in the 3D grid; without such documentation the numerical thresholds lose quantitative meaning.

    Authors: We agree the separation criteria require explicit documentation. The revised manuscript will add a dedicated paragraph describing the method: magnetic connectivity tracing from the photospheric polarity inversion line combined with a current-carrying helicity density isosurface threshold (0.01 G²) to isolate the sigmoidal FR from adjacent pre-existing flux. This will make the 0.23 and 0.32 ratios reproducible and restore quantitative meaning. revision: yes

  2. Referee: [Results on torus instability timing] Results on torus instability timing: the 7-hour delay between observed eruption and the model reaching the 0.32 ratio is presented as a finding, but the manuscript does not quantify how sensitive this timing is to plausible variations in the FR boundary definition or to uncertainties in the input electric-field maps; this sensitivity directly affects the claim that the model reproduces the eruptive behavior.

    Authors: A full sensitivity study would require new TMF runs with varied FR boundaries and perturbed electric-field maps, which exceeds the scope of the current work. We will add a brief qualitative discussion noting that the 7-hour offset arises from the mixed-flux configuration (FR adjacent to pre-existing fields), consistent with the manuscript's emphasis on quantitative challenges in real ARs. The core claim of morphological reproduction and consistent energy/helicity injection remains unchanged. revision: no

standing simulated objections not resolved
  • Quantitative sensitivity of the 7-hour torus-instability delay to FR boundary definition and electric-field map uncertainties

Circularity Check

0 steps flagged

No circularity: simulation driven by external magnetogram data with independent comparison to observations

full rationale

The paper initializes a time-dependent magnetofrictional model from observed vector magnetograms, derives photospheric electric fields from the time series, and evolves the coronal field forward. Reported quantities (magnetic energy, helicity injection, current-carrying to total relative helicity ratio of 0.23 at observed eruption time, torus instability at 0.32) are computed directly from the simulated volume at times fixed by external observations. The abstract explicitly notes deviations from the literature value 0.29 due to adjacent pre-existing fields and acknowledges quantitative challenges, rather than forcing agreement. No equation reduces the helicity ratio or instability timing to a fitted parameter defined within the paper, no self-citation chain bears the central claim, and the derivation remains self-contained against the independent observational benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the domain assumption that the time-dependent magnetofrictional approximation, together with electric fields derived from photospheric vector magnetograms, sufficiently represents coronal evolution for the purpose of tracking flux-rope formation and helicity ratios. No free parameters are explicitly listed in the abstract, and no new physical entities are introduced.

axioms (1)
  • domain assumption The magnetofrictional model accurately evolves the coronal magnetic field when driven by photospheric electric fields derived from observed vector magnetograms.
    Invoked in the description of the simulation initialization and driving mechanism.

pith-pipeline@v0.9.1-grok · 5832 in / 1614 out tokens · 63019 ms · 2026-07-01T03:56:10.687897+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

101 extracted references · 52 canonical work pages · 9 internal anchors

  1. [1]

    1996, A&AS, 117, 393, doi: 10.1051/aas:1996164

    SExtractor: Software for source extraction. , year = 1996, volume =. doi:10.1051/aas:1996164 , adsurl =

    work page doi:10.1051/aas:1996164 1996

  2. [2]

    Berger, M. A. and Field, G. B. , title =. Journal of Fluid Mechanics , volume =. 1984 , doi =

    1984

  3. [3]

    Solar Physics , volume =

    Demoulin, Pascal and Berger, Mitchell , title =. Solar Physics , volume =. 2003 , doi =

    2003

  4. [4]

    , title =

    Schuck, Peter W. , title =. The Astrophysical Journal , volume =. 2006 , doi =

    2006

  5. [5]

    The Astrophysical Journal , volume=

    Measurement of magnetic helicity injection and free energy loading into the solar corona , author=. The Astrophysical Journal , volume=. 2002 , publisher=

    2002

  6. [6]

    Astrophys

    Schuck, Peter , title =. Astrophys. J. , volume =. 2008 , doi =

    2008

  7. [7]

    , year = 2015, volume =

    Investigation of Helicity and Energy Flux Transport in Three Emerging Solar Active Regions. , year = 2015, volume =. doi:10.1088/0004-637X/806/2/245 , adsurl =

    work page doi:10.1088/0004-637x/806/2/245 2015

  8. [8]

    and Schuck, P

    Liu, Y. and Schuck, P. W. , title =. The Astrophysical Journal , volume =. 2012 , doi =

    2012

  9. [9]

    Lamport, Leslie , year=

  10. [10]

    Different styles & systems of referencing: Guidance on citing references for students at the University of Reading , year =

  11. [11]

    Avoiding unintentional plagiarism: Guidance on citing references for students at the University of Reading , year =

  12. [12]

    Brummell and J

    Yang Liu and Rudolf Komm and Nicholas H. Brummell and J. Todd Hoeksema and Bhishek Manek and Gherardo Valori , title =. The Astrophysical Journal , volume =. 2024 , doi =

    2024

  13. [13]

    astro-ph.SR , year =

    Shin Toriumi and Sung-Hong Park , title =. astro-ph.SR , year =

  14. [14]

    2014 , address =

    Eric Priest , title =. 2014 , address =

    2014

  15. [15]

    1998 , address =

    Arnab Rai Choudhuri , title =. 1998 , address =

    1998

  16. [16]

    Zirker , title =

    Jack B. Zirker , title =. 2002 , address =

    2002

  17. [17]

    Velocity Fields in the Solar Atmosphere. I. Preliminary Report. , year = 1962, volume =. doi:10.1086/147285 , adsurl =

    work page doi:10.1086/147285 1962

  18. [18]

    The Astrophysical Journal , volume =

    Jongchul Chae , title =. The Astrophysical Journal , volume =. 2001 , doi =

    2001

  19. [19]

    Mark C. M. Cheung and Marc L. DeRosa , title =. The Astrophysical Journal , volume =. 2012 , doi =

    2012

  20. [20]

    Lumme and J

    E. Lumme and J. Pomoell and D. J. Price and others , title =. Astronomy & Astrophysics , volume =. 2022 , doi =

    2022

  21. [21]

    Riley, Pete and Linker, J. A. and Mikić, Z. and Lionello, R. and Ledvina, S. A. and Luhmann, J. G. , title =. The Astrophysical Journal , volume =. 2006 , doi =

    2006

  22. [22]

    Pomoell and E

    J. Pomoell and E. Lumme and E. Kilpua , title =. Solar Physics , volume =. 2019 , doi =

    2019

  23. [23]

    W. H. Yang and P. A. Sturrock and S. K. Antiochos , title =. The Astrophysical Journal , volume =. 1986 , doi =

    1986

  24. [24]

    , title =

    Vemareddy, P. , title =. 2024 , month =. doi:10.3847/1538-4357/ad8089 , url =

    work page doi:10.3847/1538-4357/ad8089 2024

  25. [25]

    The Journal of Open Source Software , volume =

    Pencil Code Collaboration and Axel Brandenburg and Anders Johansen and Philippe Bourdin and Wolfgang Dobler and Wladimir Lyra and Matthias Rheinhardt and Sven Bingert and Nils Haugen and Antony Mee and Frederick Gent and Natalia Babkovskaia and Chao-Chin Yang and Tobias Heinemann and Boris Dintrans and Dhrubaditya Mitra and Simon Candelaresi and Jörn Warn...

    arXiv 2021

  26. [26]

    R. A. Howard and J. D. Moses and A. Vourlidas and J. S. Newmark and D. G. Socker and S. P. Plunkett and C. M. Korendyke and J. W. Cook and A. Hurley and J. M. Davila and W. T. Thompson and O. C. St Cyr and E. Mentzell and K. Mehalick and J. R. Lemen and J. P. Wuelser and D. W. Duncan and T. D. Tarbell and C. J. Wolfson and A. Moore and R. A. Harrison and ...

    work page doi:10.1007/s11214-008-9341-4

  27. [27]

    J. R. Lemen and A. M. Title and D. J. Akin and P. F. Boerner and C. Chou and J. F. Drake and D. W. Duncan and C. G. Edwards and F. M. Friedlaender and G. F. Heyman and N. E. Hurlburt and N. L. Katz and G. D. Kushner and M. Levay and R. W. Lindgren and D. P. Mathur and E. L. McFeaters and S. Mitchell and R. A. Rehse and C. J. Schrijver and L. A. Springer a...

    work page doi:10.1007/s11207-011-9776-8

  28. [28]

    Schou and P

    J. Schou and P. H. Scherrer and R. I. Bush and R. Wachter and S. Couvidat and M. C. Rabello-Soares and R. S. Bogart and J. T. Hoeksema and Y. Liu and T. L. Duvall and D. J. Akin and B. A. Allard and J. W. Miles and R. Rairden and R. A. Shine and T. D. Tarbell and A. M. Title and C. J. Wolfson and D. F. Elmore and A. A. Norton and S. Tomczyk , title =. Sol...

    work page doi:10.1007/s11207-011-9842-2

  29. [29]

    Dean Pesnell and B

    W. Dean Pesnell and B. J. Thompson and P. C. Chamberlin , title =. Solar Physics , year =. doi:10.1007/s11207-011-9841-3 , url =

    work page doi:10.1007/s11207-011-9841-3

  30. [30]

    Schuck and Spiro K

    Peter W. Schuck and Spiro K. Antiochos , title =. The Astrophysical Journal , year =. doi:10.3847/1538-4357/ab298a , url =

    work page doi:10.3847/1538-4357/ab298a

  31. [31]

    M. G. Bobra and X. Sun and J. T. Hoeksema and others , title =. Solar Physics , year =. doi:10.1007/s11207-014-0529-3 , url =

    work page doi:10.1007/s11207-014-0529-3

  32. [32]

    J. W. Harvey and F. Hill and R. P. Hubbard and others , title =. Science , year =. doi:10.1126/science.272.5266.1284 , url =

    work page doi:10.1126/science.272.5266.1284

  33. [33]

    The Solar Orbiter mission

    M. The Solar Orbiter mission. Science overview , journal =. 2020 , volume =. doi:10.1051/0004-6361/202038467 , archivePrefix =. 2009.00861 , primaryClass =

    work page doi:10.1051/0004-6361/202038467 2020

  34. [34]

    G. A. Gary , title=. ApJS , volume=. 1989 , pages=

    1989

  35. [35]

    Optimization of Photospheric Electric Field Estimates for Accurate Retrieval of Total Magnetic Energy Injection

    Lumme, E. and Pomoell, J. and Kilpua, E. K. J. , title =. Solar Physics , year =. doi:10.1007/s11207-017-1214-0 , archivePrefix =. 1712.05757 , primaryClass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/s11207-017-1214-0

  36. [36]

    , keywords =

    Magnetic Energy and Helicity in Two Emerging Active Regions in the Sun. , keywords =. doi:10.1088/0004-637X/761/2/105 , adsurl =

    work page doi:10.1088/0004-637x/761/2/105

  37. [37]

    and Kuhn, J

    Lin, H. and Kuhn, J. R. and Coulter, R. , title =. 2004 , month =. doi:10.1086/425217 , url =

    work page doi:10.1086/425217 2004

  38. [38]

    Nature Astronomy , keywords =

    Measurement of magnetic field and relativistic electrons along a solar flare current sheet. Nature Astronomy , keywords =. doi:10.1038/s41550-020-1147-7 , archivePrefix =. 2005.12757 , primaryClass =

    work page doi:10.1038/s41550-020-1147-7 2005

  39. [39]

    , keywords =

    Coronal Temperature, Density, and Magnetic Field Maps of a Solar Active Region Using the Owens Valley Solar Array. , keywords =. doi:10.1086/173614 , adsurl =

    work page doi:10.1086/173614

  40. [40]

    and Valori, Gherardo and K

    Liu, Yang and Welsch, Brian T. and Valori, Gherardo and K. Georgoulis, Manolis and Guo, Yang and Pariat, Etienne and Park, Sung-Hong and Thalmann, Julia K. , title =. 2023 , month =. doi:10.3847/1538-4357/aca3a6 , url =

    work page doi:10.3847/1538-4357/aca3a6 2023

  41. [41]

    , keywords =

    Coronal magnetic field measurement using loop oscillations observed by Hinode/EIS. , keywords =. doi:10.1051/0004-6361:200810186 , adsurl =

    work page doi:10.1051/0004-6361:200810186

  42. [42]

    2021 , month =

    Pötzi , title =. 2021 , month =. doi:https://doi.org/10.1007/s11207-021-01903-4 , url =

    work page doi:10.1007/s11207-021-01903-4 2021

  43. [44]

    Kilpua and H

    E. Kilpua and H. E. J. Koskinen and T. I. Pulkkinen , title=. Living Reviews in Solar Physics , volume=. 2017 , pages=

    2017

  44. [45]

    GEOPHYSICAL MONOGRAPH-AMERICAN GEOPHYSICAL UNION , volume=

    Theory of coronal mass ejections , author=. GEOPHYSICAL MONOGRAPH-AMERICAN GEOPHYSICAL UNION , volume=. 2001 , publisher=

    2001

  45. [46]

    E. R. Priest and T. G. Forbes , title=. Astronomy and Astrophysics Review , volume=. 2002 , pages=

    2002

  46. [47]

    Lin and M

    H. Lin and M. J. Penn and S. Tomczyk , title=. The Astrophysical Journal Letters , volume=. 2000 , pages=

    2000

  47. [48]

    Gieseler and N

    J. Gieseler and N. Dresing and C. Palmroos and J. L. Freiherr von Forstner and D. J. Price and R. Vainio and A. Kouloumvakos and L. Rodríguez-García and D. Trotta and V. G. Solar-MACH: An open-source tool to analyze solar magnetic connection configurations , journal=. 2023 , pages=

    2023

  48. [49]

    The Astrophysical Journal , volume=

    Evolution of magnetic field and energy in a major eruptive active region based on SDO/HMI observation , author=. The Astrophysical Journal , volume=. 2012 , publisher=

    2012

  49. [50]

    Green, L. M. and Kliem, B. and Wallace, A. J. , title =. Astronomy & Astrophysics , year =. doi:10.1051/0004-6361/201015146 , adsurl =

    work page doi:10.1051/0004-6361/201015146

  50. [51]

    and Vourlidas, A

    Patsourakos, S. and Vourlidas, A. and Stenborg, G. , title =. The Astrophysical Journal , year =. doi:10.1088/0004-637X/764/2/125 , adsurl =

    work page doi:10.1088/0004-637x/764/2/125

  51. [52]

    Kliem, B. and T. Torus Instability , journal =. 2006 , volume =. doi:10.1103/PhysRevLett.96.255002 , adsurl =

    work page doi:10.1103/physrevlett.96.255002 2006

  52. [53]

    2007 , month = apr, volume =

    Model for the Coupled Evolution of Subsurface and Coronal Magnetic Fields in Solar Active Regions , journal =. 2007 , month = apr, volume =. doi:10.1086/512849 , keywords =

    work page doi:10.1086/512849 2007

  53. [54]

    , keywords =

    Magnetic Energy and Helicity Fluxes at the Photospheric Level. , keywords =. doi:10.1023/A:1025679813955 , adsurl =

    work page doi:10.1023/a:1025679813955

  54. [55]

    , keywords =

    Exploring the coronal evolution of AR 12473 using time-dependent, data-driven magnetofrictional modelling. , keywords =. doi:10.1051/0004-6361/202038925 , adsurl =

    work page doi:10.1051/0004-6361/202038925

  55. [56]

    , keywords =

    Time-dependent data-driven coronal simulations of AR 12673 from emergence to eruption. , keywords =. doi:10.1051/0004-6361/201935535 , adsurl =

    work page doi:10.1051/0004-6361/201935535

  56. [57]

    Journal of Geophysical Research (Space Physics) , keywords =

    A catalog of white light coronal mass ejections observed by the SOHO spacecraft. Journal of Geophysical Research (Space Physics) , keywords =. doi:10.1029/2003JA010282 , adsurl =

    work page doi:10.1029/2003ja010282

  57. [58]

    , keywords =

    A Catastrophe Mechanism for Coronal Mass Ejections. , keywords =. doi:10.1086/170051 , adsurl =

    work page doi:10.1086/170051

  58. [59]

    , keywords =

    A review on the genesis of coronal mass ejections. , keywords =. doi:10.1029/2000JA000005 , adsurl =

    work page doi:10.1029/2000ja000005

  59. [60]

    , keywords =

    Linear Force-free Magnetic Fields for Solar Extrapolation and Interpretation. , keywords =. doi:10.1086/191316 , adsurl =

    work page doi:10.1086/191316

  60. [61]

    , keywords =

    Computational Modeling of Magnetic Fields in Solar Active Regions. , keywords =. doi:10.1007/BF00226267 , adsurl =

    work page doi:10.1007/bf00226267

  61. [62]

    Non-linear force-free field modeling of a solar active region around the time of a major flare and coronal mass ejection

    Nonlinear Force-free Field Modeling of a Solar Active Region around the Time of a Major Flare and Coronal Mass Ejection. , keywords =. doi:10.1086/527413 , archivePrefix =. 0712.0023 , primaryClass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1086/527413

  62. [63]

    A Critical Assessment of Nonlinear Force-Free Field Modeling of the Solar Corona for Active Region 10953

    A Critical Assessment of Nonlinear Force-Free Field Modeling of the Solar Corona for Active Region 10953. , keywords =. doi:10.1088/0004-637X/696/2/1780 , archivePrefix =. 0902.1007 , primaryClass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1088/0004-637x/696/2/1780

  63. [64]

    Magnetic Field Extrapolations in the Corona: Success and Future Improvements

    Magnetic Field Extrapolations into the Corona: Success and Future Improvements. , keywords =. doi:10.1007/s11207-013-0367-8 , archivePrefix =. 1307.3844 , primaryClass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1007/s11207-013-0367-8

  64. [65]

    , keywords =

    Coronal Magnetic Field Models. , keywords =. doi:10.1007/s11214-015-0178-3 , adsurl =

    work page doi:10.1007/s11214-015-0178-3

  65. [66]

    Nonlinear Force-Free Field Extrapolation of a Coronal Magnetic Flux Rope Supporting a Large-Scale Filament from Photospheric Vector Magnetogram

    Nonlinear Force-free Field Extrapolation of a Coronal Magnetic Flux Rope Supporting a Large-scale Solar Filament from a Photospheric Vector Magnetogram. , keywords =. doi:10.1088/2041-8205/786/2/L16 , archivePrefix =. 1403.7807 , primaryClass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1088/2041-8205/786/2/l16 2041

  66. [67]

    , keywords =

    A Twisted Flux Rope as the Magnetic Structure of a Filament in Active Region 10953 Observed by Hinode. , keywords =. doi:10.1088/0004-637X/715/2/1566 , adsurl =

    work page doi:10.1088/0004-637x/715/2/1566

  67. [68]

    , keywords =

    Mean Field Model for the Formation of Filament Channels on the Sun. , keywords =. doi:10.1086/309265 , adsurl =

    work page doi:10.1086/309265

  68. [69]

    Coronal Mass Ejection: Initiation, Magnetic Helicity, and Flux Ropes. I. Boundary Motion-driven Evolution. , keywords =. doi:10.1086/345501 , adsurl =

    work page doi:10.1086/345501

  69. [70]

    and Hayashi, K

    Inoue, S. and Hayashi, K. and Magara, T. and Choe, G. S. and Park, Y. D. , title =. 2014 , month =. doi:10.1088/0004-637X/788/2/182 , url =

    work page doi:10.1088/0004-637x/788/2/182 2014

  70. [71]

    , keywords =

    Measurement of Magnetic Helicity Injection and Free Energy Loading into the Solar Corona. , keywords =. doi:10.1086/342171 , adsurl =

    work page doi:10.1086/342171

  71. [72]

    and Eden, Thomas and Eparvier, Francis G

    Woods, Thomas N. and Eden, Thomas and Eparvier, Francis G. and Jones, Andrew R. and Woodraska, Donald L. and Chamberlin, Phillip C. and Machol, Janet L. , title =. Journal of Geophysical Research: Space Physics , volume =. 2024 , doi =

    2024

  72. [73]

    , keywords =

    The Large Angle Spectroscopic Coronagraph (LASCO). , keywords =. doi:10.1007/BF00733434 , adsurl =

    work page doi:10.1007/bf00733434

  73. [74]

    Formation and eruption of sigmoidal structure from a weak field region of NOAA 11942

    Formation and Eruption of Sigmoidal Structure from a Weak Field Region of NOAA 11942. , keywords =. doi:10.3847/1538-4357/ab0a06 , archivePrefix =. 1902.08105 , primaryClass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.3847/1538-4357/ab0a06 1902

  74. [75]

    Advances in Nonlinear Dynamics , editor =

    Topological quantities in magnetohydrodynamics. Advances in Nonlinear Dynamics , editor =. doi:10.1201/9780203493137.ch10 , adsurl =

    work page doi:10.1201/9780203493137.ch10

  75. [76]

    Testing magnetic helicity conservation in a solar-like active event

    Testing magnetic helicity conservation in a solar-like active event. , keywords =. doi:10.1051/0004-6361/201525811 , archivePrefix =. 1506.09013 , primaryClass =

    work page internal anchor Pith review Pith/arXiv arXiv doi:10.1051/0004-6361/201525811

  76. [77]

    , keywords =

    Effects of optimisation parameters on data-driven magnetofrictional modelling of active regions. , keywords =. doi:10.1051/0004-6361/202244650 , archivePrefix =. 2305.16080 , primaryClass =

    work page doi:10.1051/0004-6361/202244650

  77. [79]

    Advances in Space Research , year = 2007, month = jan, volume = 39, number = 11, pages =

    Recent theoretical and observational developments in magnetic helicity studies. Advances in Space Research , year = 2007, month = jan, volume = 39, number = 11, pages =. doi:10.1016/j.asr.2006.12.037 , adsurl =

    work page doi:10.1016/j.asr.2006.12.037 2007

  78. [80]

    Priest, E. R. and Forbes, T. G. , title =. Astronomy and Astrophysics Review , year =

  79. [81]

    Zuccarello, F. P. and Pariat, E. and Valori, G. and Linan, L. , title =. The Astrophysical Journal , year =

  80. [82]

    and Leake, J

    Pariat, E. and Leake, J. E. and Valori, G. and Linton, M. G. and Zuccarello, F. P. and Dalmasse, K. , title =. Astronomy & Astrophysics , volume =. 2017 , doi =

    2017

Showing first 80 references.