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Explosive reconnection in magnetars
Authors:Maxim Lyutikov
Institution:Physics Department, McGill University, 3600 rue University Montreal, QC, Canada H3A 2T8;Canadian Institute for Theoretical Astrophysics, 60 St. George, Toronto, Ont, Canada M5S 3H8
Abstract:The X-ray activity of anomalous X-ray pulsars and soft γ-ray repeaters may result from the heating of their magnetic corona by direct currents dissipated by magnetic reconnection. We investigate the possibility that X-ray flares and bursts observed from anomalous X-ray pulsars and soft γ-ray repeaters result from magnetospheric reconnection events initiated by development of the tearing mode in magnetically dominated relativistic plasma. We formulate equations of resistive force-free electrodynamics, discuss the relation of the latter to ideal electrodynamics, and give examples of both ideal and resistive equilibria. Resistive force-free current layers are unstable towards the development of small-scale current sheets where resistive effects become important. Thin current sheets are found to be unstable due to the development of the resistive force-free tearing mode. The growth rate of the tearing mode is intermediate between the short Alfvén time-scale  τA  and a long resistive time-scale  τR: Γ~ 1/(τRτA)1/2  , similar to the case of non-relativistic non-force-free plasma. We propose that growth of the tearing mode is related to the typical rise time of flares, ~10 ms. Finally, we discuss how reconnection may explain other magnetar phenomena and ways to test the model.
Keywords:magnetic fields  plasmas  pulsars: general
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