Electrostatic solitary waves in a quantum plasma with relativistically degenerate electrons

Waqas Masood, Bengt Eliasson

Research output: Contribution to journalArticle

61 Citations (Scopus)

Abstract

A model for nonlinear ion waves in an unmagnetized plasma with relativistically degenerate electrons and cold fluid ions is presented here. The inertia is given here by the ion mass while the restoring force is provided by the relativistic electron degeneracy pressure, and the dispersion is due to the deviation from charge neutrality. A nonlinear Korteweg–de Vries equation is derived for small but finite amplitude waves and is used to study the properties of localized ion acoustic solitons for parameters relevant for dense astrophysical objects such as white dwarf stars. Different degrees of relativistic electron degeneracy are discussed and compared.
LanguageEnglish
Article number034503
Number of pages4
JournalPhysics of Plasmas
Volume18
Issue number3
DOIs
Publication statusPublished - 11 Mar 2011

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solitary waves
electrostatics
ions
electrons
electron pressure
white dwarf stars
inertia
astrophysics
deviation
acoustics
fluids

Keywords

  • quantum plasmas
  • degenerate electrons
  • solitary waves
  • electrostatic solitary waves

Cite this

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Electrostatic solitary waves in a quantum plasma with relativistically degenerate electrons. / Masood, Waqas; Eliasson, Bengt.

In: Physics of Plasmas, Vol. 18, No. 3, 034503, 11.03.2011.

Research output: Contribution to journalArticle

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AB - A model for nonlinear ion waves in an unmagnetized plasma with relativistically degenerate electrons and cold fluid ions is presented here. The inertia is given here by the ion mass while the restoring force is provided by the relativistic electron degeneracy pressure, and the dispersion is due to the deviation from charge neutrality. A nonlinear Korteweg–de Vries equation is derived for small but finite amplitude waves and is used to study the properties of localized ion acoustic solitons for parameters relevant for dense astrophysical objects such as white dwarf stars. Different degrees of relativistic electron degeneracy are discussed and compared.

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