Solitary kinetic Alfvén waves in dense plasmas with relativistic degenerate electrons and positrons

Abstract

Propagation of solitary kinetic Alfvén waves (KAWs) is investigated in small but finite b (particle-to-magnetic pressure ratio) collisionless dense plasma whose constituents are nondegenerate warm ions, and relativistic degenerate electrons and positrons. Through the use of reductive perturbation technique, Kortweg-de Vries equation is derived to obtain small amplitude localized wave solution of KAWs. The effects of plasma , b positron concentration, electron relativistic degeneracy parameter, ion thermal temperature and obliqueness parameter on solitary KAWs are studied. The results of this theoretical investigation are aimed at elucidating characteristics of kinetic Alfvén solitary waves in relativistic degenerate e-p-i plasmas found in dense astrophysical objects specifically neutron stars and white dwarfs.

Characteristics of magnetohydrodynamic waves propagating in a magnetized relativistic degenerate plasma

“…In these cases, relativistic and quantum mechanical effects must be considered in a combined manner. Many authors have proposed various quantum plasma systems that consider degenerate relativistic impacts to investigate the features of electrostatic and electromagnetic waves in either unmagnetized [20][21][22][23][24] or magnetized [25][26][27][28][29][30][31] relativistically degenerate quantum plasmas. Zhenni et al [25] investigated the propagation of electron acoustic waves by considering the tunneling effect in addition to the relativistic degenerate effect in magnetized quantum plasma.…”