The power output of flux pile-up magnetic reconnection is known to be determined by the total hydromagnetic pressure outside the current sheet. The maximum energy-release rate is reached for optimized solutions that balance the maximum dynamic and magnetic pressures. An optimized solution is determined in this paper for a current sheet with anomalous, turbulent electric resistivity. The resulting energy dissipation rate W a is a strong function of the maximum, saturated magnetic field B s : W a ~ B . Numerically, W a can exceed the power output based on the classical resistivity by more than 2 orders of magnitude for three-dimensional pile-up, leading to solar flarelike energy-release rates of the order of 10 28 ergs s -1 . It is also shown that the optimization prescription has its physical basis in relating the flux pile-up solutions to the Sweet-Parker reconnection model.
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Litvinenko et al. (2000) studied this question.
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