Nonlinear Alfvén Waves in a Vlasov Plasma

T.F. Bell

doi:10.1063/1.1761115

Nonlinear Alfvén Waves in a Vlasov Plasma

T.F. Bell

Technical University of Denmark

Research output: Contribution to journal › Journal article › Research › peer-review

306 Downloads (Pure)

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 language	English
Journal	Physics of Fluids
Volume	8
Issue number	10
Pages (from-to)	1829-1839
ISSN	1070-6631
DOIs	https://doi.org/10.1063/1.1761115
Publication status	Published - 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.

Access to Document

10.1063/1.1761115

BellFinal published version, 939 KB

http://dx.doi.org/10.1063/1.1761115

OpenUrl availability

Full text

Cite this

@article{484aef55649f451685b501a898a752f6,

title = "Nonlinear Alfv{\'e}n Waves in a Vlasov Plasma",

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 Alfv{\'e}n 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 Alfv{\'e}n 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. {\textcopyright}1965 The American Institute of Physics",

author = "T.F. Bell",

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.",

year = "1965",

doi = "10.1063/1.1761115",

language = "English",

volume = "8",

pages = "1829--1839",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics",

number = "10",

}

TY - JOUR

T1 - Nonlinear Alfvén Waves in a Vlasov Plasma

AU - Bell, T.F.

N1 - 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.

PY - 1965

Y1 - 1965

N2 - 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

AB - 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

U2 - 10.1063/1.1761115

DO - 10.1063/1.1761115

M3 - Journal article

SN - 1070-6631

VL - 8

SP - 1829

EP - 1839

JO - Physics of Fluids

JF - Physics of Fluids

IS - 10

ER -

Nonlinear Alfvén Waves in a Vlasov Plasma

Abstract

Bibliographical note

Access to Document

OpenUrl availability

Fingerprint

Cite this