Variations of the 3-D coronal magnetic field associated with the X3.4-class solar flare event of AR 10930

Abstract

The variations of the 3-D coronal magnetic fields associated with the X3.4-class flare of active region 10930 are studied in this paper. The coronal magnetic field data are reconstructed from the photospheric vector magnetograms obtained by the Hinode satellite and using the nonlinear force-free field extrapolation method developed in our previous work (He et al., 2011). The 3-D force-free factor $\alpha$, 3-D current density, and 3-D magnetic energy density are employed to analyze the coronal data. The distributions of $\alpha$ and current density reveal a prominent magnetic connectivity with strong negative $\alpha$ values and strong current density before the flare. This magnetic connectivity extends along the main polarity inversion line and is found to be totally broken after the flare. The distribution variation of magnetic energy density reveals the redistribution of magnetic energy before and after the flare. In the lower space of the modeling volume the increase of magnetic energy dominates, and in the higher space the decrease of energy dominates. The comparison with the flare onset imaging observation exhibits that the breaking site of the magnetic connectivity and site with the highest values of energy density increase coincide with the location of flare initial eruption. We conclude that a cramped positive $\alpha$ region appearing in the photosphere causes the breaking of the magnetic connectivity. A scenario for flare initial eruption is proposed in which the Lorentz force acting on the isolated electric current at the magnetic connectivity breaking site lifts the associated plasmas and causes the initial ejection.

arXiv comment24 pages, 18 figures, 2 tables

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• The Magnetic Field in the Solar Atmosphere
• Magnetohydrodynamic Simulation of the X2.2 Solar Flare on 2011 February 15: II. Dynamics Connecting the Solar Flare and the Coronal Mass Ejection
• Activity Analyses for Solar-type Stars Observed with Kepler. II. Magnetic Feature Versus Flare Activity
• Expulsion of counter Evershed flows from sunspot penumbrae
• Temporal and spatial relationship of flare signatures and the force-free coronal magnetic field
• Chirality and magnetic configuration associated with two-ribbon solar flares: AR 10930 versus AR 11158