Numerical and theoretical study of Bernstein modes in a magnetized quantum plasma

Bengt Eliasson, Padma Shukla

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A numerical and theoretical study is presented for the propagation of electron Bernstein modes in a magnetized quantum plasma. The dispersion relation for electrostatic waves is derived, using a semiclassical Vlasov model for Fermi–Dirac distributed electrons. The dispersion relation is checked numerically with direct Vlasov simulations, where the wave energy is concentrated to the Bernstein modes as well as to the zero-frequency convective mode. Dispersion relations in the long wavelength limit are derived, including the upper hybrid dispersion relation for a degenerate quantum plasma.
Original languageEnglish
Article number102102
Number of pages5
JournalPhysics of Plasmas
Volume15
Issue number10
DOIs
Publication statusPublished - 7 Oct 2008

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electrostatic waves
electrons
propagation
wavelengths
simulation
energy

Keywords

  • bernstein modes
  • quantum plasma
  • numerical and theoretical study
  • magnetized quantum plasma

Cite this

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abstract = "A numerical and theoretical study is presented for the propagation of electron Bernstein modes in a magnetized quantum plasma. The dispersion relation for electrostatic waves is derived, using a semiclassical Vlasov model for Fermi–Dirac distributed electrons. The dispersion relation is checked numerically with direct Vlasov simulations, where the wave energy is concentrated to the Bernstein modes as well as to the zero-frequency convective mode. Dispersion relations in the long wavelength limit are derived, including the upper hybrid dispersion relation for a degenerate quantum plasma.",
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Numerical and theoretical study of Bernstein modes in a magnetized quantum plasma. / Eliasson, Bengt; Shukla, Padma.

In: Physics of Plasmas, Vol. 15, No. 10, 102102, 07.10.2008.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Eliasson, Bengt

AU - Shukla, Padma

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N2 - A numerical and theoretical study is presented for the propagation of electron Bernstein modes in a magnetized quantum plasma. The dispersion relation for electrostatic waves is derived, using a semiclassical Vlasov model for Fermi–Dirac distributed electrons. The dispersion relation is checked numerically with direct Vlasov simulations, where the wave energy is concentrated to the Bernstein modes as well as to the zero-frequency convective mode. Dispersion relations in the long wavelength limit are derived, including the upper hybrid dispersion relation for a degenerate quantum plasma.

AB - A numerical and theoretical study is presented for the propagation of electron Bernstein modes in a magnetized quantum plasma. The dispersion relation for electrostatic waves is derived, using a semiclassical Vlasov model for Fermi–Dirac distributed electrons. The dispersion relation is checked numerically with direct Vlasov simulations, where the wave energy is concentrated to the Bernstein modes as well as to the zero-frequency convective mode. Dispersion relations in the long wavelength limit are derived, including the upper hybrid dispersion relation for a degenerate quantum plasma.

KW - bernstein modes

KW - quantum plasma

KW - numerical and theoretical study

KW - magnetized quantum plasma

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U2 - 10.1063/1.2994723

DO - 10.1063/1.2994723

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VL - 15

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

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M1 - 102102

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