Nonlinear Alfvén Waves in a Vlasov Plasma

T.F. Bell

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Abstract

Stationary solutions to the nonlinear Vlasov—Boltzmann equations are considered which represent one-dimensional electromagnetic waves in a hot magnetoplasma. These solutions appear in arbitrary reference frames as circularly polarized, sinusoidal waves of unlimited amplitude, i.e., as nonlinear Alfvén waves. Solutions are found implicitly by deriving a set of integral dispersion relations which link the wave characteristics with the particle distribution functions. A physical discussion is given of the way in which the Alfvén waves can trap particles, and it is shown that the presence of ``cyclotron-trapped'' particles introduces a boundary condition which no set of isotropic distribution functions can satisfy. An application of these solutions to theories of very low frequency emissions is briefly discussed. ©1965 The American Institute of Physics
Original languageEnglish
JournalPhysics of Fluids
Volume8
Issue number10
Pages (from-to)1829-1839
ISSN1070-6631
DOIs
Publication statusPublished - 1965

Bibliographical note

Copyright (1965) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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