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Title: Nonlinear frequency shift of electrostatic waves in general collisionless plasma: Unifying theory of fluid and kinetic nonlinearities

Abstract

The nonlinear frequency shift is derived in a transparent asymptotic form for intense Langmuir waves in general collisionless plasma. The formula describes both fluid and kinetic effects simultaneously. The fluid nonlinearity is expressed, for the first time, through the plasma dielectric function, and the kinetic nonlinearity accounts for both smooth distributions and trapped-particle beams. Various known limiting scalings are reproduced as special cases. The calculation avoids differential equations and can be extended straightforwardly to other nonlinear plasma waves.

Authors:
;  [1]
  1. Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544 (United States)
Publication Date:
OSTI Identifier:
22490038
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONLESS PLASMA; DIELECTRIC MATERIALS; DIFFERENTIAL EQUATIONS; LANGMUIR FREQUENCY; NONLINEAR PROBLEMS; PARTICLE BEAMS; PLASMA WAVES; TRAPPING

Citation Formats

Liu, Chang, and Dodin, Ilya Y. Nonlinear frequency shift of electrostatic waves in general collisionless plasma: Unifying theory of fluid and kinetic nonlinearities. United States: N. p., 2015. Web. doi:10.1063/1.4928585.
Liu, Chang, & Dodin, Ilya Y. Nonlinear frequency shift of electrostatic waves in general collisionless plasma: Unifying theory of fluid and kinetic nonlinearities. United States. doi:10.1063/1.4928585.
Liu, Chang, and Dodin, Ilya Y. Sat . "Nonlinear frequency shift of electrostatic waves in general collisionless plasma: Unifying theory of fluid and kinetic nonlinearities". United States. doi:10.1063/1.4928585.
@article{osti_22490038,
title = {Nonlinear frequency shift of electrostatic waves in general collisionless plasma: Unifying theory of fluid and kinetic nonlinearities},
author = {Liu, Chang and Dodin, Ilya Y.},
abstractNote = {The nonlinear frequency shift is derived in a transparent asymptotic form for intense Langmuir waves in general collisionless plasma. The formula describes both fluid and kinetic effects simultaneously. The fluid nonlinearity is expressed, for the first time, through the plasma dielectric function, and the kinetic nonlinearity accounts for both smooth distributions and trapped-particle beams. Various known limiting scalings are reproduced as special cases. The calculation avoids differential equations and can be extended straightforwardly to other nonlinear plasma waves.},
doi = {10.1063/1.4928585},
journal = {Physics of Plasmas},
number = 8,
volume = 22,
place = {United States},
year = {Sat Aug 15 00:00:00 EDT 2015},
month = {Sat Aug 15 00:00:00 EDT 2015}
}