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Saturation of the magnetorotational instability: Asymptotically exact theory

Published online by Cambridge University Press:  07 June 2006

M. Rieutord ,
B. Dubrulle ,
K. Julien  and
E. Knobloch
K. Julien
Affiliation:
Department of Applied Mathematics, University of Colorado, Boulder, CO 80309, USA
E. Knobloch
Affiliation:
Department of Physics, University of California, Berkeley, CA 94720, USA
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Abstract

An analytical theory is developed that describes theprocess of nonlinear saturation of the magnetorotational instability. Thetheory employs the shearing sheet approximation with arbitrary (but linear)shear flow, and is asymptotically exact in a well-defined parameter regime. In this regime the instability saturates by extracting energy from the shear,and modifying the shear responsible for it. The saturation process requires both viscous and ohmic dissipation. The theory also describes the approach from small amplitude perturbations to the final strongly nonlinear saturated state.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 21: Stellar Fluid Dynamics and Numerical Simulations: From the Sun to Neutron Stars , 2006 , pp. 81 - 104
Copyright
© EAS, EDP Sciences, 2006

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