Magnetosonic waves in a quantum plasma with arbitrary electron degeneracy

Physical Review. E
F Haas, Shahzad Mahmood

Abstract

Using a two-species quantum hydrodynamic model, we derive the quantum counterpart of magnetosonic waves, in a plasma with arbitrary degree of degeneracy and taking into account quantum diffraction effects due to the matter-wave character of the charge carriers. The weakly nonlinear aspects of the associated quantum magnetosonic wave are accessed by means of perturbation theory, with the derivation of a nonlinear evolution equation admitting solitons, namely, the Korteweg-de Vries equation. The degeneracy and quantum diffraction effects on soliton propagation are determined. A qualitative change on weakly nonlinear magnetosonic waves appears when quantum diffraction matches certain conditions, producing shock solutions instead of solitons, within the approximation level. We also include explicit numeric estimates and a discussion on the coupling (nonideality) parameter for quantum plasmas with intermediate degeneracy degree.

References

Mar 16, 2007·Physical Review Letters·Mattias Marklund, Gert Brodin
Mar 16, 2007·Physical Review Letters·S H GlenzerR Redmer
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M MarklundP K Shukla
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Waqas MasoodPadma K Shukla
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D B Melrose, A Mushtaq
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fernando Haas, Shahzad Mahmood

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