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An analytical method for the investigation of instability of a collisionless plasma in strong magnetic fields

Published online by Cambridge University Press:  13 March 2009

V. U. Zakharov
V. U. Zakharov
Affiliation:
Mathematics Department, N. Bauman moscow State technical University, Bazhenova 4, Kaluga 248600, Russia
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Extract

An analytical method for the investigation of special types of dispersion relations is presented. In particular, analysis of the propagation of small- amplitude hydromagnetic waves in a collisionless plasma in a strong magnetic field leads to such dispersion relations. The fifth-degree dispersion relation corresponding to a particular case is considered. The necessary stability condition for a steady state and conditions for the degeneration of small- amplitude waves are derived. A comparison with other methods for the analysis of similar dispersion relations is also presented.

Type
Articles
Information
Journal of Plasma Physics , Volume 50 , Issue 2 , October 1993 , pp. 185 - 189
Copyright
Copyright © Cambridge University Press 1993

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