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Buoyancy-driven instabilities and the nonlinear breakup of a sheared magnetic layer

Published online by Cambridge University Press:  26 April 2006

Fausto Cattaneo ,
Tzihong Chiueh  and
David W. Hughes
Fausto Cattaneo
Affiliation:
Joint Institute for Laboratory Astrophysics, University of Colorado. Boulder, CO 80309, USA
Tzihong Chiueh
Affiliation:
Department of Astrophysical, Planetary and Atmospheric Sciences, University of Colorado, Boulder, CO 80309, USA Present address: Institute of Physics and Astronomy, National Central University, Chung-Li, Taiwan.
David W. Hughes
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
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Abstract

Motivated by problems concerning the storage and subsequent escape of the solar magnetic field we have studied how a magnetic layer embedded in a convectively stable atmosphere evolves due to axisymmetric instabilities driven by magnetic buoyancy. The initial equilibrium consists of a toroidal field sheared by a weaker poloidal component. The linear stability problem is investigated for both ideal and resistive MHD, and the nonlinear evolution is followed by numerical integration of the equations of motion. In all cases we found that the instability is greatly affected by the distribution and strength of the poloidal field. In particular, both the horizontal and vertical scales of the motions are controlled by the location of the surface on which the poloidal field vanishes — the resonant surface. In the nonlinear regime, a resonant surface close to the interface between the magnetized and field-free fluid leads to the localization of the instability so that only a fraction of the magnetic region is disrupted by the motions. By contrast, a deeply seated resonant surface leads to the complete disruption of the layer and to the formation of large, helical magnetic fragments whose identity is preserved for the entire simulation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 219 , October 1990 , pp. 1 - 23
Copyright
© 1990 Cambridge University Press

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