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