Electrostatic Solitary Waves in Relativistic Degenerate Electron-Positron-Ion Plasma

Ata ur Rahman, Ioannis Kourakis, Anisa Qamar

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The linear and nonlinear properties of ion acoustic excitations propagating in warm dense electron-positron-ion plasma are investigated. Electrons and positrons are assumed relativistic and degenerate, following the Fermi-Dirac statistics, whereas the warm ions are described by a set of classical fluid equations. A linear dispersion relation is derived in the linear approximation. Adopting a reductive perturbation method, the Korteweg-de Vries equation is derived, which admits a localized wave solution in the form of a small-amplitude weakly super-acoustic pulse-shaped soliton. The analysis is extended to account for arbitrary amplitude solitary waves, by deriving a pseudoenergy-balance like equation, involving a Sagdeev-type pseudopotential. It is shown that the two approaches agree exactly in the small-amplitude weakly super-acoustic limit. The range of allowed values of the pulse soliton speed (Mach number), wherein solitary waves may exist, is determined. The effects of the key plasma configuration parameters, namely, the electron relativistic degeneracy parameter, the ion (thermal)-to-the electron (Fermi) temperature ratio, and the positron-to-electron density ratio, on the soliton characteristics and existence domain, are studied in detail. Our results aim at elucidating the characteristics of ion acoustic excitations in relativistic degenerate plasmas, e.g., in dense astrophysical objects, where degenerate electrons and positrons may occur.

Original languageEnglish
Pages (from-to)974-984
Number of pages11
JournalIEEE Transactions on Plasma Science
Volume43
Issue number4
Early online date16 Mar 2015
DOIs
Publication statusPublished - Apr 2015

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Nuclear and High Energy Physics

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