On a hydrodynamic description of waves propagating perpendicular to the magnetic field in relativistically hot plasmas

TL;DR

This paper develops a hydrodynamic model for relativistically hot plasmas to analyze electromagnetic wave propagation perpendicular to magnetic fields, revealing significant thermal effects on wave dispersion.

Contribution

It introduces a new four-equation hydrodynamic model incorporating relativistic temperature effects for plasmas, enhancing understanding of wave spectra in such conditions.

Findings

Thermal effects significantly alter the dispersion relation.

Relativistic temperatures near electron rest energy impact wave propagation.

Analytical analysis of these effects is provided.

Abstract

The novel hydrodynamic model of plasmas with the relativistic temperatures consisted of four equations for the material fields: the concentration and the velocity field \emph{and} the average reverse relativistic $\gamma$ functor and the flux of the reverse relativistic $\gamma$ functor is applied to study high-frequency part of spectrum of electromagnetic waves propagating perpendicular to the external magnetic field. The thermal effects considered for the temperatures close to the rest energy of electrons considerably change the dispersion equation in compare with the nonrelativistic temperatures. Analytical analysis of the changes is presented.