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Relativistic and non-relativistic analysis of whistler-mode waves in a hot anisotropic plasma

Published online by Cambridge University Press:  13 March 2009

S. S. Sazhin ,
A. E. Sumner  and
N. M. Temme
S. S. Sazhin
Affiliation:
Department of Physics, The University of Sheffield, Sheffield S3 7, RH, U.K.
A. E. Sumner
Affiliation:
Department of Physics, The University of Sheffield, Sheffield S3 7, RH, U.K.
N. M. Temme
Affiliation:
Centrum voor Wiskunde en Informatica, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands
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Abstract

The dispersion equation for parallel whistler-mode propagation in a hot anisotropic plasma is analysed numerically in both weakly relativistic and nonrelativistic approximations under the assumption that wave growth or damping does not influence the wave refractive index. The results of this analysis are compared with the results of an asymptotic analysis of the same equation, and the range of applicability of the latter results is specified. It is pointed out that relativistic effects lead to a decrease in the range of frequencies for which instability occurs. For a moderately anisotropic plasma (T⊥/T‖ = 2) relativistic effects lead to an increase in the maximum value of the increment of instability.

Type
Research Article
Information
Journal of Plasma Physics , Volume 47 , Issue 1 , February 1992 , pp. 163 - 174
Copyright
Copyright © Cambridge University Press 1992

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