### Abstract

Language | English |
---|---|

Article number | 066401 |

Number of pages | 5 |

Journal | Physical Review E |

Volume | 81 |

Issue number | 6 |

DOIs | |

Publication status | Published - 15 Jun 2010 |

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### Keywords

- quantum plasmas
- electromagnetic waves
- quantum hydrodynamics

### Cite this

*Physical Review E*,

*81*(6), [066401]. https://doi.org/10.1103/PhysRevE.81.066401

}

*Physical Review E*, vol. 81, no. 6, 066401. https://doi.org/10.1103/PhysRevE.81.066401

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

Research output: Contribution to journal › Article

TY - JOUR

T1 - Electromagnetic wave equations for relativistically degenerate quantum magnetoplasmas

AU - Masood, Waqas

AU - Eliasson, Bengt

AU - Shukla, Padma

PY - 2010/6/15

Y1 - 2010/6/15

N2 - 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.

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.

KW - quantum plasmas

KW - electromagnetic waves

KW - quantum hydrodynamics

UR - http://link.aps.org/doi/10.1103/PhysRevE.81.066401

U2 - 10.1103/PhysRevE.81.066401

DO - 10.1103/PhysRevE.81.066401

M3 - Article

VL - 81

JO - Physical Review E

T2 - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 6

M1 - 066401

ER -