The Log-normal Distributions of Physical Quantities of Flare associated Coronal Mass Ejections (CMEs), and Flare/CME Model of Gamma-ray Bursts

We investigated the statistical distributions of physical quantities of solar flares and associated coronal mass ejections (CMEs). We found that the distributions of the X-ray peak fluxes of CME-related flares, their time intervals, and speeds of associated CMEs are in good agreement with log-normal distributions. One possible interpretation of this is that only large energetic mass ejections can escape from the solar corona, which become CMEs in the interplanetary space. This “filtering effect” may be the reason why statistical distributions of some physical quantities are similar to log-normal distribution. It is known that the distributions of several physical quantities of gamma-ray bursts (GRBs) are also log-normal distributions, and that the time variations of gamma-ray intensity in GRBs are very similar to those of hard X-rays of solar flares. On the basis of these similarities and physical consideration of magnetohydrodynamic properties Kwasan and Hida Observatories, Kyoto University, Yamashina, Kyoto 607-8471, Japan Department of Astronomy, Faculty of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan Solar Division, National Astronomical Observatory, 2-4-1 Osawa, Mitaka, Tokyo, 181-8588, Japan Center for Solar Physics and Space Weather, Catholic University of America, Washington, DC 20064