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Dispersion relation of transverse oscillation in relativistic plasmas with non-extensive distribution

Published online by Cambridge University Press:  15 February 2011

SAN-QIU LIU  and
XIAO-CHANG CHEN
SAN-QIU LIU
Affiliation:
Department of Physics, Nanchang University, Nanchang 330031, P.R. China ([email protected])
XIAO-CHANG CHEN
Affiliation:
Department of Physics, Nanchang University, Nanchang 330031, P.R. China ([email protected])
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Abstract

The generalized dispersion equation for superluminal transverse oscillation in an unmagnetized, collisionless, isotropic and relativistic plasma with non-extensive q-distribution is derived. The analytical dispersion relation is obtained in an ultra-relativistic regime, which is related to q-parameter and temperature. In the limit q → 1, the result based on the relativistic Maxwellian distribution is recovered. Using the numerical method, we obtain the full dispersion curve that cannot be given by an analytic method. It is shown that the numerical solution is in good agreement with the analytical result in the long-wavelength and short-wavelength region for ultra-relativistic plasmas.

Type
Papers
Information
Journal of Plasma Physics , Volume 77 , Issue 5 , October 2011 , pp. 653 - 662
Copyright
Copyright © Cambridge University Press 2011

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