Dispersion relation of longitudinal oscillation in relativistic plasmas with nonextensive distribution

San-Qiu Liu and Xiao-Chang Chen

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 9, 1704-1712

Abstract: The generalized dispersion equation for longitudinal oscillation in an unmagnetized, collisionless, isotropic and relativistic plasma is derived in the context of nonextensive q-distribution. The analytical expression for the dispersion relation is obtained in an ultra-relativistic regime, which is related to the q-parameter and temperature. In the limit q→1, the result based on the relativistic Maxwellian distribution is recovered. Using the numerical simulation method, we obtain the full dispersion curve which 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, short-wavelength and near light wave region for ultra-relativistic plasmas.

Keywords: Relativistic plasma; Dispersion relation; Nonextensive distribution; Longitudinal oscillation (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:9:p:1704-1712

DOI: 10.1016/j.physa.2010.12.034

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