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Toroidal equilibrium of rotating plasma with adiabatic constraints

Published online by Cambridge University Press:  13 March 2009

A. Gałkowski  and
R. Żelazny
A. Gałkowski
Affiliation:
Institute of Plasma Physics and Laser Microfusion, 00–908 Warsaw, P.O. Box 49, Poland
R. Żelazny
Affiliation:
Institute of Plasma Physics and Laser Microfusion, 00–908 Warsaw, P.O. Box 49, Poland
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Abstract

A numerical technique, alternative to Grad's well-known ADM method has been proposed to deal with the slow adiabatic evolution of a toroidal plasma with flow. The equilibrium problem with prescribed adiabatic constraints may be solved by simultaneous calculations of flux surface geometry and original profile functions. Implications for the problem of bifurcation due to nonlinearity of the governing equations are discussed. In the case of field-aligned sub-Alfvénic flow the system is in the second elliptic regime if β <A2/(1 – A2) at the magnetic axis, where A is the Mach Alfvén number of the flow. Super-Alfvénic flows do not satisfy the local firehose stability criterion.

Type
Research Article
Information
Journal of Plasma Physics , Volume 52 , Issue 1 , August 1994 , pp. 129 - 140
Copyright
Copyright © Cambridge University Press 1994

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