Solar Flare Statistics with a One-Dimensional Mhd Model |
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Authors: | S Galtier A Pouquet |
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Institution: | (1) Observatoire de la Côte d'Azur, CNRS UMR 6529 Cassini, B.P. 4229, 06304 NICE Cedex 4, France |
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Abstract: | The dynamics of dissipative events in coronal loops is modeled with the compressible MHD equations in one space dimension in slab geometry, with a forcing that mimics the footpoint motions. Using a set of numerical simulations, the statistics of strong velocity and magnetic field gradients that develop, leading to a bursty dissipation, are analyzed. Agreement with existing observations of X-ray solar flares obtains concerning the power-law distribution of the luminosity histogram, including when the dynamics are simplified to that of the Burgers equation; in that latter case, this allows for recasting the analysis in terms of avalanche-type models. |
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