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

Bengt Eliasson, Padma Shukla

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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
Issue number10
Publication statusPublished - 7 Oct 2008


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

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