Equilibrium and tearing stability of thin current layers in magnetic arcades

Physics

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Current Sheets, Equilibrium, Interplanetary Medium, Intervals, Magnetic Fields, Magnetohydrodynamic Stability, Approximation, Magnetic Flux, Tearing Modes (Plasmas)

Scientific paper

The MHD equilibrium of a thin, force-free current layer in a magnetic arcade is solved analytically. Various approximations are made in order to achieve a lowest order description that is physically relevant as well as mathematically tractable: The arcade is assumed to emanate from feet that are well localized, the current emanates from a localized sheet within the feet and is relatively weak. The resulting expressions for B arrow are relatively simple and natural flux coordinates are identifiable. The stability of such a current sheet to resistive filamentation is then investigated.

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