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

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
Copyright
Copyright © Cambridge University Press 1993

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