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

Abstract

AbstractThe generalized dispersion equation for superluminal transverse oscillation in an unmagnetized, collisionless, isotropic and relativistic plasma with non-extensiveq-distribution is derived. The analytical dispersion relation is obtained in an ultra-relativistic regime, which is related toq-parameter and temperature. In the limitq→ 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.