Weakly nonlinear electron plasma waves in collisional plasmas

H. L. Pecseli; J. Juul Rasmussen; S. G. Tagare; K. Thomsen

doi:10.1088/0741-3335/28/2/007

Weakly nonlinear electron plasma waves in collisional plasmas

H. L. Pecseli, J. Juul Rasmussen, S. G. Tagare, K. Thomsen

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Abstract

The nonlinear evolution of a high frequency plasma wave in a weakly magnetized, collisional plasma is considered. In addition to the ponderomotive-force-nonlinearity the nonlinearity due to the heating of the electrons is taken into account. A set of nonlinear equations including the effect of a constantly maintained pump wave is derived and a general dispersion relation describing the modulation of the high frequency wave due to different low frequency responses is obtained. Particular attention is devoted to a purely growing modulation. The relative importance of the ponderomotive force nonlinearity and the thermal nonlinearity is discussed.

Original language	English
Journal	Plasma Physics and Controlled Fusion
Volume	28
Issue number	2
Pages (from-to)	485-507
ISSN	0741-3335
DOIs	https://doi.org/10.1088/0741-3335/28/2/007
Publication status	Published - 1986

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title = "Weakly nonlinear electron plasma waves in collisional plasmas",

abstract = "The nonlinear evolution of a high frequency plasma wave in a weakly magnetized, collisional plasma is considered. In addition to the ponderomotive-force-nonlinearity the nonlinearity due to the heating of the electrons is taken into account. A set of nonlinear equations including the effect of a constantly maintained pump wave is derived and a general dispersion relation describing the modulation of the high frequency wave due to different low frequency responses is obtained. Particular attention is devoted to a purely growing modulation. The relative importance of the ponderomotive force nonlinearity and the thermal nonlinearity is discussed.",

author = "Pecseli, {H. L.} and Rasmussen, {J. Juul} and Tagare, {S. G.} and K. Thomsen",

year = "1986",

doi = "10.1088/0741-3335/28/2/007",

language = "English",

volume = "28",

pages = "485--507",

journal = "Plasma Physics and Controlled Fusion",

issn = "0741-3335",

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T1 - Weakly nonlinear electron plasma waves in collisional plasmas

AU - Pecseli, H. L.

AU - Rasmussen, J. Juul

AU - Tagare, S. G.

AU - Thomsen, K.

PY - 1986

Y1 - 1986

N2 - The nonlinear evolution of a high frequency plasma wave in a weakly magnetized, collisional plasma is considered. In addition to the ponderomotive-force-nonlinearity the nonlinearity due to the heating of the electrons is taken into account. A set of nonlinear equations including the effect of a constantly maintained pump wave is derived and a general dispersion relation describing the modulation of the high frequency wave due to different low frequency responses is obtained. Particular attention is devoted to a purely growing modulation. The relative importance of the ponderomotive force nonlinearity and the thermal nonlinearity is discussed.

AB - The nonlinear evolution of a high frequency plasma wave in a weakly magnetized, collisional plasma is considered. In addition to the ponderomotive-force-nonlinearity the nonlinearity due to the heating of the electrons is taken into account. A set of nonlinear equations including the effect of a constantly maintained pump wave is derived and a general dispersion relation describing the modulation of the high frequency wave due to different low frequency responses is obtained. Particular attention is devoted to a purely growing modulation. The relative importance of the ponderomotive force nonlinearity and the thermal nonlinearity is discussed.

U2 - 10.1088/0741-3335/28/2/007

DO - 10.1088/0741-3335/28/2/007

M3 - Journal article

SN - 0741-3335

VL - 28

SP - 485

EP - 507

JO - Plasma Physics and Controlled Fusion

JF - Plasma Physics and Controlled Fusion

IS - 2

ER -

Weakly nonlinear electron plasma waves in collisional plasmas

Abstract

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