Propagation characteristics of weakly magnetized electromagnetic modes in a relativistic partially degenerate electron plasma

Abstract

Using the linearized Vlasov–Maxwell model and the polarization tensor components for weakly magnetized ($\left| \omega -{\mathbf {k}}\cdot {\mathbf {v}}\right| >\varOmega$) electron plasma the dispersion relations of parallel and perpendicular propagating electromagnetic modes are evaluated under high frequency/long wavelength limit (i.e., $\omega >{\mathbf{k }}\cdot {\mathbf{v }}$). The propagation characteristics of R–L and ordinary waves are discussed in the presence of isotropic Fermi–Dirac distribution function in a relativistic regime. The Polylog functions that arise due to arbitrary/partial degeneracy are examined in various degeneracy and relativistic limits. The graphical results are also extracted in the presence of quantum non-degenerate, degenerate and fully degenerate regimes due to the variation in relativistic parameter $(\frac{T}{ m_{0}c^{2}})$, Lorentz factor ($\gamma$) and degeneracy parameter $(\frac{\mu }{T})$ in weakly and strongly relativistic limits. Furthermore, the derived results are found to be in complete agreement with the previous investigations.