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

Eliasson, Bengt and Shukla, Padma (2008) Numerical and theoretical study of Bernstein modes in a magnetized quantum plasma. Physics of Plasmas, 15 (10). ISSN 1070-664X

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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.