On the high frequency perpendicular propagating waves in ultra-relativistic fully degenerate electron plasma

Abstract

Using Vlasov-Maxwell's equations, the spectra of the perpendicular propagating Bernstein wave and Extraordinary wave in ultra-relativistic fully degenerate electron plasma are studied. The equilibrium particle distribution function is assumed to be isotropic Fermian. The analysis of high frequency spectra of the waves is carried out in the weak propagation limit Ω≫k.v and in the weak magnetic field limit |ω−k.v|≫Ω and graphically observed.

Effects of quantum statistical pressure and exchange correlation on the low frequency electromagnetic waves in degenerate Fermi-Dirac pair-ion plasma

“…Since the reported possible creation of dense electron-positron plasma, where the charged particles behave as a Fermi gas, and quantum mechanical effects might play a vital role in the dynamics of charge carriers. It is important to mention that the criterion of quantum interference of particles is satisfied by the lighter plasma particles (electrons and positrons) more easily alos the inclusion of the exchange-correlation potential with the quantum effects through the Bohmian force and the quantum statistical pressure may reflect the comprehensive study of a quantum plasma system [19][20][21][22][23][24][25][26]. The electron exchange and correlation effects in dense plasmas (by the electron half-spin particles) play a central role in the plasma dielectric response function [27].…”