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Shear wave dissipation in planar magnetic X-Points

Abstract
The resistive dissipation of nonlinear shear wave disturbances is discussed. We consider an incompressible, “open” X-point geometry, in which mass and energy are free to enter and leave the reconnection region. An analytic treatment is possible which unifies many of the dynamic and steady-state X-point solutions obtained previously. We show that while field disturbances in the plane of the X-point have the potential for rapid energy release when suitably driven, perpendicular shear disturbances dissipate slowly, at a rate η1/2, where η is the plasma resistivity. This behavior can be understood in terms of the absence of flux pileup in nonplanar shear wave disturbances. We conclude that only planar shear waves have the potential for fast magnetic energy release.
Type
Journal Article
Type of thesis
Series
Citation
Craig, I. J. D. & McClymont, A. N. (1997). Shear wave dissipation in planar magnetic X-Points. The Astrophysical Journal, 481(2), 996- 1003.
Date
1997-06
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Rights
This article has been published in the Astrophysical Journal. Copyright 1997 The American Astronomical Society.