skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Comment on 'Wave-breaking limits for relativistic electrostaticwaves in a one-dimensional warm plasma'

Abstract

No abstract prepared.

Authors:
; ;
Publication Date:
Research Org.:
Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
Sponsoring Org.:
USDOE Director, Office of Science
OSTI Identifier:
929686
Report Number(s):
LBNL-63784
Journal ID: ISSN 1070-664X; PHPAEN; TRN: US0803496
DOE Contract Number:
DE-AC02-05CH11231
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 14; Related Information: Journal Publication Date: 2007
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PLASMA; PLASMA WAVES; ONE-DIMENSIONAL CALCULATIONS; LIMITING VALUES

Citation Formats

Schroeder C.B., Esarey, E., and Shadwick, B.A. Comment on 'Wave-breaking limits for relativistic electrostaticwaves in a one-dimensional warm plasma'. United States: N. p., 2007. Web. doi:10.1063/1.2752521.
Schroeder C.B., Esarey, E., & Shadwick, B.A. Comment on 'Wave-breaking limits for relativistic electrostaticwaves in a one-dimensional warm plasma'. United States. doi:10.1063/1.2752521.
Schroeder C.B., Esarey, E., and Shadwick, B.A. Mon . "Comment on 'Wave-breaking limits for relativistic electrostaticwaves in a one-dimensional warm plasma'". United States. doi:10.1063/1.2752521.
@article{osti_929686,
title = {Comment on 'Wave-breaking limits for relativistic electrostaticwaves in a one-dimensional warm plasma'},
author = {Schroeder C.B. and Esarey, E. and Shadwick, B.A.},
abstractNote = {No abstract prepared.},
doi = {10.1063/1.2752521},
journal = {Physics of Plasmas},
number = ,
volume = 14,
place = {United States},
year = {Mon Mar 19 00:00:00 EDT 2007},
month = {Mon Mar 19 00:00:00 EDT 2007}
}
  • No abstract prepared.
  • 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 formore » {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.« less
  • In this work, wave breaking for general non-quasi-static oscillations in warm plasma is investigated using Lagrangian methods. In particular, the effects of secular behavior on wave-breaking limits are explored, and it is shown that thermal effects can sometimes prevent wave breaking by curbing secular behavior. The oscillation equations for fully relativistic warm plasma are cast into Lagrangian form, and wave-breaking limits are derived for waves in warm plasma having nonconstant density. These results have important applications in electron acceleration schemes that employ a wakefield or a slow beat wave propagating down a density gradient.
  • A unified description of wave breaking for relativistic plasma waves having arbitrary phase velocity is obtained on the basis of warm relativistic electron fluid theory [Phys. Fluids {bold 25}, 846 (1982)]. Limiting cases found in the literature are reproduced. {copyright} {ital 1997 American Institute of Physics.}