Wavebreaking limits for relativistic electrostatic waves in a onedimensional 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, onedimensional electron fluid. Wavebreaking 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 wavebreaking 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 wavebreaking limits are appropriate.
 Authors:

 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 1070664X
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; ELECTRON TEMPERATURE; ELECTRONS; FLUIDS; ION TEMPERATURE; ONEDIMENSIONAL 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. Wavebreaking limits for relativistic electrostatic waves in a onedimensional warm plasma. United States: N. p., 2006.
Web. doi:10.1063/1.2398927.
Trines, R. M. G. M., & Norreys, P A. Wavebreaking limits for relativistic electrostatic waves in a onedimensional warm plasma. United States. https://doi.org/10.1063/1.2398927
Trines, R. M. G. M., and Norreys, P A. Fri .
"Wavebreaking limits for relativistic electrostatic waves in a onedimensional warm plasma". United States. https://doi.org/10.1063/1.2398927.
@article{osti_20860454,
title = {Wavebreaking limits for relativistic electrostatic waves in a onedimensional 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, onedimensional electron fluid. Wavebreaking 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 wavebreaking 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 wavebreaking limits are appropriate.},
doi = {10.1063/1.2398927},
url = {https://www.osti.gov/biblio/20860454},
journal = {Physics of Plasmas},
issn = {1070664X},
number = 12,
volume = 13,
place = {United States},
year = {2006},
month = {12}
}