Relativistic kinetic dispersion theory of linear parallel waves in magnetized plasmas with isotropic thermal distributions

Physics

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Scientific paper

New relativistic dispersion laws are obtained for electro-magnetic waves parallel propagating in an isotropic thermal plasma embedded in an ambient magnetic field. The relativistic Maxwellian distribution is considered to describe both the susceptible growing and the damped waves, by analytical continuation on the whole complex frequency plane. Classical results correspond to the formal limit of the infinite speed of light, and are quite different from the relativistically correct dispersion relation obtained here. The relativistic solutions then exhibit different behaviours as illustrated for low-frequency waves in finite β plasmas. For an isothermal plasma typically encountered in galactic cosmic rays, a visible discrepancy is observed in the high limit of non-relativistic ion temperature. More prominent relativistic differences are obtained for pair plasma conditions corresponding either to a pulsar magnetosphere or to an active galactic nuclei engine which are currently created in the laboratory. The relativistic effects are found to be more efficient in a non-isothermal plasma leading to an important correction for the low-frequency dispersion and even at low non-relativistic temperatures.

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