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A sufficient condition for instability of BGK type waves in both unmagnetized and magnetized plasmas

Published online by Cambridge University Press:  13 March 2009

E. Infeld  and
G. Rowlands
E. Infeld
Affiliation:
Institute of Nuclear Research, Hoza 69, Warsaw
G. Rowlands
Affiliation:
Department of Physics, University of WarwickCoventry CV4 7AL, England
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Abstract

This paper investigates the general problem of stability of Bernstein—Greene— Kruskal type waves. By investigating perturbations perpendicular to the wave, we obtain a general sufficient condition for instability. This is then extended to the case of magnetized plasmas with a uniform magnetic field in the direction of the BGK wave. New perturbed modes, having no counterpart in linear theory, are also found. Various special cases are considered and previous, more particular results confirmed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 17 , Issue 1 , February 1977 , pp. 57 - 68
Copyright
Copyright © Cambridge University Press 1977

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References

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