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Nonlinear theory of large-mode-number ballooning modes in fully toroidal geometry

Published online by Cambridge University Press:  13 March 2009

J. P. Mondt  and
J. Weiland
J. P. Mondt
Affiliation:
Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, New Mexico 87545, USA
J. Weiland
Affiliation:
Institute for Electromagnetic Field Theory, Chalmers University of Technology, S-41296 Göteborg, Sweden
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Abstract

A nonlinear model equation describing ballooning modes for β of the order of the inverse aspect ratio and including magnetic shear is derived. For the special case of circular concentric flux surfaces, we obtain an approximate dispersion relation, including finite Larmor radius effects, and show the possibility of explosive instability in the nonlinear regime. The results are shown to remain valid in the presence of a low-density hot-ion constituent.

Type
Research Article
Information
Journal of Plasma Physics , Volume 34 , Issue 1 , August 1985 , pp. 143 - 161
Copyright
Copyright © Cambridge University Press 1985

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References

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