The Log-Normal Distributions of Coronal Mass Ejection-Related Solar Flares and the Flare/CME Model of Gamma-Ray Bursts

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It is known that gamma-ray bursts (GRBs) are highly time-variable and the statistical distribution of physical variables show log-normal. The solar flares are also highly time-variable phenomena, but the physical quantities of them show power-law distribution. GRBs are believed to be the emission from the relativistic outflow from the central engine. On the other hand, the outflow from the Sun is known as coronal mass ejections (CMEs). We analyze the distributions of some quantities of CMEs and the solar flares related to CMEs (CME-related solar flares) to compare with the distributions of GRBs. We found the distributions of X-ray peak fluxes of CME-related solar flares and the speed of CMEs are very similar to log-normal distribution. Hence the distributions of GRBs are similar to those of CME-related solar flares and CMEs, and the ejection mechanisms of outflow from the central engine of GRBs and the Sun might be similar, that is, magnetic reconnection. We propose the new model of the central engine of GRBs by the analogy of solar flares and CMEs.

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