On the correct implementation of Fermi-Dirac statistics and electron trapping in nonlinear electrostatic plane wave propagation in collisionless plasmas

Schamel, Hans and Eliasson, Bengt (2016) On the correct implementation of Fermi-Dirac statistics and electron trapping in nonlinear electrostatic plane wave propagation in collisionless plasmas. Physics of Plasmas, 23 (5). 052114. ISSN 1070-664X (https://doi.org/10.1063/1.4949341)

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Abstract

Quantum statistics and electron trapping have a decisive influence on the propagation characteristics of coherent stationary electrostatic waves. The description of these strictly nonlinear structures, which are of electron hole type and violate linear Vlasov theory due to the particle trapping at any excitation amplitude, is obtained by a correct reduction of the three-dimensional (3D) Fermi-Dirac distribution function to one dimension and by a proper incorporation of trapping. For small but finite amplitudes the holes become of cnoidal wave type and the electron density is shown to be described by a phi(x)^{1/2} rather than a phi(x) expansion, where phi(x) is the electrostatic potential. The general coefficients are presented for a degenerate plasma as well as the quantum statistical analogue to these steady state coherent structures, including the shape of phi(x) and the nonlinear dispersion relation, which describes their phase velocity.

ORCID iDs

Schamel, Hans and Eliasson, Bengt ORCID logoORCID: https://orcid.org/0000-0001-6039-1574;
  • Item type:Article
    ID code:56069
    Dates:
    Date
    Event
    19 May 2016
    Published
    1 April 2016
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:05 Apr 2016 07:11
    Last modified:11 Nov 2024 11:23
    URI:https://strathprints.strath.ac.uk/id/eprint/56069
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