On the propagation of light in relativistic Maxwellian plasmas

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dispersions, Light (Visible Radiation), Maxwell Bodies, Radiative Transfer, Relativistic Plasmas, Cosmology, Isotropy, Maxwell-Boltzmann Density Function, Thermodynamic Equilibrium, Vlasov Equations

Scientific paper

Using the relativistic Vlasov equation and the appropriate Maxwell-Boltzmann-Juttner distribution for the unperturbed plasma thermal equilibrium state it is demonstrated that the transverse dispersion relation in warm isotropic Maxwellian plasmas can only have two real roots with superluminal phase speed at all wavenumbers. The superluminal waves undergo no Landau damping. The relativistically correct analysis leads to markedly different results than previous nonrelativistic work, which incorrectly yielded a small but finite imaginary of the roots for all phase speeds.

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