A mathematical criterion describing the fast rise of a class of solar flares

Statistics – Computation

Scientific paper

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Mathematical Models, Solar Flares, Brightness Distribution, Computational Astrophysics, Skylab Program

Scientific paper

The sharp increase in brightness associated with a class of solar flares is examined analytically to derive an equation which explains the phenomenon. The high frequency of the flares and the importance of the induction current lead to the exclusive use of Maxwell's equations and the abandonment of MHD approaches. The results suggest that solar bright points develop into flares only if the brightening is exponentially increasing in time. Also, the bright points do not develop into a flare if its brightening is linearly increasing, constant, or exponentially decreasing in time.

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