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

作者:Liu S Q*; Liao Y L; Liu X L; Xiao Q S; Zhang W D
来源:Journal of Plasma Physics, 2008, 74: 807-814.
DOI:10.1017/S0022377808007083

摘要

The dispersion relation for superluminal waves in degenerated and isotropic electron-positron plasmas is investigated. The dispersion equation of linear waves is dervied 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.