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Dispersion relation of degenerated electron–positron plasma in an ultra-relativistic regime

Published online by Cambridge University Press:  01 December 2008

S. Q. LIU ,
Y. L. LIAO ,
X. L. LIU ,
Q. S. XIAO  and
W. D. ZHANG
S. Q. LIU
Affiliation:
Department of Physics, NanChang University, JiangXi, NanChang 330031, People's Republic of China ([email protected])
Y. L. LIAO
Affiliation:
Department of Physics, NanChang University, JiangXi, NanChang 330031, People's Republic of China ([email protected])
X. L. LIU
Affiliation:
Department of Physics, NanChang University, JiangXi, NanChang 330031, People's Republic of China ([email protected])
Q. S. XIAO
Affiliation:
Department of Physics, NanChang University, JiangXi, NanChang 330031, People's Republic of China ([email protected])
W. D. ZHANG
Affiliation:
Department of Physics, NanChang University, JiangXi, NanChang 330031, People's Republic of China ([email protected])
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Abstract

The dispersion relation for superluminal waves in degenerated and isotropic electron–positron plasmas is investigated. The dispersion equation of linear waves is derived from the relativistically correct form of the dielectric function and the Fermi distribution function. Analytical dispersion laws for the real part of the wave frequency are derived by applying the long-wavelength approximation and the short-wavelength approximation. Using the numerical simulation method, we obtain the full dispersion curve which cannot be given by an analytic method.

Type
Papers
Information
Journal of Plasma Physics , Volume 74 , Issue 6 , December 2008 , pp. 807 - 814
Copyright
Copyright © Cambridge University Press 2008

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