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A comparative study of the instabilities of two classes of nonlinear waves in cold plasmas

Published online by Cambridge University Press:  13 March 2009

F. J. Romeiras  and
G. Rowlands
F. J. Romeiras
Affiliation:
Laboratory for Plasma and Fusion Energy Studies, University of Maryland, College Park, MD 20742, U.S.A.
G. Rowlands
Affiliation:
Department of Physics, University of Warwick, Coventry CV4 7AL, U.K.
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Abstract

Results are presented of the stability analysis against small parallel perturbations of two classes of nonlinear waves in cold unmagnetized electron plasmas emphasizing similarities and differences. The first class is a stationary longitudinal wave set up by two counter-streaming cold electron beams; the second class is a mixed transverse-longitudinal standing wave in a relativistic plasma with a circularly polarized transverse electric field whose amplitude is periodically modulated in the longitudinal direction. The perturbation dispersion relations are discussed for all perturbation wavenumbers and all nonlinear wave amplitudes. Particular attention is given to the appearance of gaps in those dispersion relations.

Type
Research Article
Information
Journal of Plasma Physics , Volume 35 , Issue 3 , June 1986 , pp. 529 - 539
Copyright
Copyright © Cambridge University Press 1986

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References

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