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Dispersion relation of longitudinal oscillation in relativistic plasmas with nonextensive distribution

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  • Liu, San-Qiu
  • Chen, Xiao-Chang

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.

Suggested Citation

  • Liu, San-Qiu & Chen, Xiao-Chang, 2011. "Dispersion relation of longitudinal oscillation in relativistic plasmas with nonextensive distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1704-1712.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:9:p:1704-1712
    DOI: 10.1016/j.physa.2010.12.034
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    References listed on IDEAS

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    1. Beck, Christian, 2000. "Non-extensive statistical mechanics and particle spectra in elementary interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 164-180.
    2. Bediaga, I. & Curado, E.M.F. & de Miranda, J.M., 2000. "A nonextensive thermodynamical equilibrium approach in e+e−→ hadrons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 156-163.
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