The intrinsic relationship between flares and eruption of filament currents

Abstract

In this study, we have employed the data from four flares with filament eruptions given by Kahler et al. (1988) to deduce the filament current and total energy as functions of time according to the Kuperus-Raadu filament model (1974). From these results, we found that the impulsive phase of these four flares is at the maximum of the total energy contained in the filament, which shows that the total energy of the filament decreases at the initiation of the impulsive phase of the flare. The amount of the filament energy decreases as required by the flare energy. Further, we discovered that the importance of the X-ray flare is proportional to the rate of the increase of the total energy prior to the filament eruption. On the basis of these results, we concluded that there is an intimate relationship between the flare and eruptive filament quantitatively.