Electromagnetic wave equations for relativistically degenerate quantum magnetoplasmas

Waqas Masood, Bengt Eliasson, Padma Shukla

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

A generalized set of nonlinear electromagnetic quantum hydrodynamic (QHD) equations is derived for a magnetized quantum plasma, including collisional, electron spin-1/2, and relativistically degenerate electron pressure effects that are relevant for dense astrophysical systems, such as white dwarfs. For illustrative purposes, linear dispersion relations are derived for one-dimensional magnetoacoustic waves for a collisionless nonrelativistic degenerate gas in the presence of the electron spin-1/2 contribution and for magnetoacoustic waves in a plasma containing relativistically degenerate electrons. It is found that both the spin and relativistic degeneracy at high densities tend to slow down the magnetoacoustic wave due to the Pauli paramagnetic effect and relativistic electron mass increase. The present study outlines the theoretical framework for the investigation of linear and nonlinear behaviors of electromagnetic waves in dense astrophysical systems. The results are applied to calculate the magnetoacoustic speeds for both the nonrelativistic and relativistic electron degeneracy cases typical for white dwarf stars.
LanguageEnglish
Article number066401
Number of pages5
JournalPhysical Review E
Volume81
Issue number6
DOIs
Publication statusPublished - 15 Jun 2010

Fingerprint

magnetoacoustic waves
Electromagnetic Wave
wave equations
Wave equation
electromagnetic radiation
Electron
electron spin
astrophysics
electron pressure
white dwarf stars
magnetoacoustics
collisional plasmas
electrons
electron mass
hydrodynamic equations
pressure effects
Degeneracy
Plasma
Quantum Hydrodynamics
electromagnetism

Keywords

  • quantum plasmas
  • electromagnetic waves
  • quantum hydrodynamics

Cite this

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Electromagnetic wave equations for relativistically degenerate quantum magnetoplasmas. / Masood, Waqas; Eliasson, Bengt; Shukla, Padma.

In: Physical Review E, Vol. 81, No. 6, 066401, 15.06.2010.

Research output: Contribution to journalArticle

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AU - Shukla, Padma

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AB - A generalized set of nonlinear electromagnetic quantum hydrodynamic (QHD) equations is derived for a magnetized quantum plasma, including collisional, electron spin-1/2, and relativistically degenerate electron pressure effects that are relevant for dense astrophysical systems, such as white dwarfs. For illustrative purposes, linear dispersion relations are derived for one-dimensional magnetoacoustic waves for a collisionless nonrelativistic degenerate gas in the presence of the electron spin-1/2 contribution and for magnetoacoustic waves in a plasma containing relativistically degenerate electrons. It is found that both the spin and relativistic degeneracy at high densities tend to slow down the magnetoacoustic wave due to the Pauli paramagnetic effect and relativistic electron mass increase. The present study outlines the theoretical framework for the investigation of linear and nonlinear behaviors of electromagnetic waves in dense astrophysical systems. The results are applied to calculate the magnetoacoustic speeds for both the nonrelativistic and relativistic electron degeneracy cases typical for white dwarf stars.

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