Abstract

Abstract The stability of the turbulent current sheet of a flare is analysed. It is argued that the equilibrium state of the current sheet is extremely unstable relative to some group of processes: dissipative instabilities of tearing type, MHD-instabilities of line pinches, overheating of the turbulent plasma and threshold dependence of conductivity on the current value. The final state of the flare current sheet has to be an extremely inhomogenious layer, consisting of numerous clusters of bad turbulent low conductive domains and good normal ones. Current propagation in this medium is a percolation process with its fundamental properties: a threshold regime of current dissipation which explains the threshold character of the flare phenomenon itself, a universal power spectrum of statistical dependence on the flare parameters, and a universal power energetic spectrum for accelerated high-energy particles.

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