SOLAR-FLARE STATISTICS WITH A ONE-DIMENSIONAL MHD MODEL

The dynamics of dissipative events in coronal loops is modeled with th e compressible MHD equations in one space dimension in slab geometry, with a forcing that mimics the footpoint motions. Using a set of numer ical 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 c oncerning the power-law distribution of the luminosity histogram, incl uding 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.