Magnetic Energy Release in Dynamic Fan Reconnection Models

Astronomy and Astrophysics – Astronomy

Scientific paper

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Magnetohydrodynamics: Mhd, Plasmas, Sun: Flares, Sun: Magnetic Fields

Scientific paper

The problem of dynamic, three-dimensional magnetic reconnection is considered. Analytic ``fan current'' solutions are derived by superposing plane-wave disturbances on magnetic X-point equilibria. The localization of the wave produces a strong current sheet containing the neutral point. It is shown that the classical rate of resistive dissipation in the sheet, namely W_eta~eta^1/2, represents the slowest possible energy-loss rate for the disturbance. The conditions required for fast coronal reconnection are then discussed. It is pointed out that significant ``flare-like'' energy release may be possible under physically realizable conditions. Moreover, the small length scales associated with the current sheet widths of order Deltax~eta^1/2 suggest that conditions are probably collisionless close to the neutral point. It is argued that our results are consistent with magnetic reconnection simulations that display ``stalling'' of the merging rate at small plasma resistivities.

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