Solar Flare Statistics with a One-Dimensional MHD Model
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.
- Publication:
-
Solar Physics
- Pub Date:
- April 1998
- DOI:
- 10.1023/A:1005056102064
- Bibcode:
- 1998SoPh..179..141G
- Keywords:
-
- Magnetic Field;
- Flare;
- Field Gradient;
- Space Dimension;
- Solar Flare