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Longitudinal electron waves for a plasma with a bi-Maxwellian velocity distribution

Published online by Cambridge University Press:  13 March 2009

J. G. Trotignon
J. G. Trotignon
Affiliation:
Laboratoire de Physique et Chimie de l'Environnement, 3A Avenue de la Recherche Scientifique, 45045 Orleans Cédex, France
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Abstract

An original method for calculating and representing the excitation coefficients of longitudinal electron waves is applied to the case of a hot, collisionless, homogeneous and isotropie plasma with a bi-Maxwellian velocity distribution function. Using a Van Kampen treatment we introduce a ‘wave density’ distribution which is represented graphically. When hot electrons are added to a plasma of cool electrons the Landau mode is distorted and its damping increases with the hot/cold temperature ratio θ. The Landau mode separates into two modes for θ ≥ θ0 where θ0 increases as the hot/cold density ratio α decreases. We show that no wave seems to be able to propagate at frequencies below the plasma frequency. Using an abrupt cut-off in the hot electron distribution function, we recover the results for a Maxwellian plus water-bag distribution.

Type
Research Article
Information
Journal of Plasma Physics , Volume 32 , Issue 3 , December 1984 , pp. 463 - 478
Copyright
Copyright © Cambridge University Press 1984

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References

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