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Title: Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma

Abstract

The propagation of electrostatic plasma waves having relativistic phase speed and amplitude has been studied. The plasma is described as a warm, relativistic, collisionless, nonequilibrium, one-dimensional electron fluid. Wave-breaking limits for the electrostatic field are calculated for nonrelativistic initial plasma temperatures and arbitrary phase velocities, and a correspondence between wave breaking and background particle trapping has been uncovered. Particular care is given to the ultrarelativistic regime ({gamma}{sub {phi}}{sup 2}k{sub B}T{sub 0}/(m{sub e}c{sup 2})>>1), since conflicting results for this regime have been published in the literature. It is shown here that the ultrarelativistic wave-breaking limit will reach arbitrarily large values for {gamma}{sub {phi}}{yields}{infinity} and fixed initial temperature. Previous results claiming that this limit is bounded even in the limit {gamma}{sub {phi}}{yields}{infinity} are shown to suffer from incorrect application of the relativistic fluid equations and higher, more realistic wave-breaking limits are appropriate.

Authors:
 [1]
  1. CCLRC Rutherford Appleton Laboratory, Chilton, Didcot, OX11 0QX (United Kingdom)
Publication Date:
OSTI Identifier:
20860454
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 13; Journal Issue: 12; Other Information: DOI: 10.1063/1.2398927; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; ELECTRON TEMPERATURE; ELECTRONS; FLUIDS; ION TEMPERATURE; ONE-DIMENSIONAL CALCULATIONS; PHASE VELOCITY; PLASMA FLUID EQUATIONS; PLASMA WAVES; RADIATION TRANSPORT; RELATIVISTIC PLASMA; RELATIVISTIC RANGE; TRAPPING

Citation Formats

Trines, R. M. G. M., and Norreys, P A. Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma. United States: N. p., 2006. Web. doi:10.1063/1.2398927.
Trines, R. M. G. M., & Norreys, P A. Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma. United States. https://doi.org/10.1063/1.2398927
Trines, R. M. G. M., and Norreys, P A. Fri . "Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma". United States. https://doi.org/10.1063/1.2398927.
@article{osti_20860454,
title = {Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma},
author = {Trines, R. M. G. M. and Norreys, P A},
abstractNote = {The propagation of electrostatic plasma waves having relativistic phase speed and amplitude has been studied. The plasma is described as a warm, relativistic, collisionless, nonequilibrium, one-dimensional electron fluid. Wave-breaking limits for the electrostatic field are calculated for nonrelativistic initial plasma temperatures and arbitrary phase velocities, and a correspondence between wave breaking and background particle trapping has been uncovered. Particular care is given to the ultrarelativistic regime ({gamma}{sub {phi}}{sup 2}k{sub B}T{sub 0}/(m{sub e}c{sup 2})>>1), since conflicting results for this regime have been published in the literature. It is shown here that the ultrarelativistic wave-breaking limit will reach arbitrarily large values for {gamma}{sub {phi}}{yields}{infinity} and fixed initial temperature. Previous results claiming that this limit is bounded even in the limit {gamma}{sub {phi}}{yields}{infinity} are shown to suffer from incorrect application of the relativistic fluid equations and higher, more realistic wave-breaking limits are appropriate.},
doi = {10.1063/1.2398927},
url = {https://www.osti.gov/biblio/20860454}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 12,
volume = 13,
place = {United States},
year = {2006},
month = {12}
}