On the dispersion characteristics of extraordinary mode in a relativistic fully degenerate electron plasma

Abstract

The study of relativistic degenerate plasmas is important in many astrophysical and laboratory environments. Using linearized relativistic Vlasov–Maxwell equations, a generalized expression for the plasma conductivity tensor is derived. Employing Fermi-Dirac distribution at zero temperature, the dispersion relation of the extraordinary mode in a relativistic degenerate electron plasma is investigated. The propagation characteristics are examined in different relativistic density ranges. The shifting of cutoff points due to relativistic effects is observed analytically and graphically. Non-relativistic and ultra-relativistic limiting cases are also presented.

Variation in the propagation characteristics of extraordinary mode with density, magnetic field and temperature in a relativistic plasma environment

“…where Π xx , Π yy and Π xy are the components of the dyadic. The required components of the dyadic derived for an arbitrary distribution function in [20] are given as,…”