Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma
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 nonrelativ...
المؤلفون الرئيسيون: | , |
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التنسيق: | Journal article |
اللغة: | English |
منشور في: |
2006
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_version_ | 1826267887384395776 |
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author | Trines, R Norreys, P |
author_facet | Trines, R Norreys, P |
author_sort | Trines, R |
collection | OXFORD |
description | 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 (γ2 kB T0 (me c2) 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 γ →∞ and fixed initial temperature. Previous results claiming that this limit is bounded even in the limit γ →∞ are shown to suffer from incorrect application of the relativistic fluid equations and higher, more realistic wave-breaking limits are appropriate. © 2006 American Institute of Physics. |
first_indexed | 2024-03-06T21:01:08Z |
format | Journal article |
id | oxford-uuid:3aeae4de-f42f-4f73-b15e-01f74a09964d |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T21:01:08Z |
publishDate | 2006 |
record_format | dspace |
spelling | oxford-uuid:3aeae4de-f42f-4f73-b15e-01f74a09964d2022-03-26T14:04:26ZWave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasmaJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3aeae4de-f42f-4f73-b15e-01f74a09964dEnglishSymplectic Elements at Oxford2006Trines, RNorreys, PThe 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 (γ2 kB T0 (me c2) 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 γ →∞ and fixed initial temperature. Previous results claiming that this limit is bounded even in the limit γ →∞ are shown to suffer from incorrect application of the relativistic fluid equations and higher, more realistic wave-breaking limits are appropriate. © 2006 American Institute of Physics. |
spellingShingle | Trines, R Norreys, P Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma |
title | Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma |
title_full | Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma |
title_fullStr | Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma |
title_full_unstemmed | Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma |
title_short | Wave-breaking limits for relativistic electrostatic waves in a one-dimensional warm plasma |
title_sort | wave breaking limits for relativistic electrostatic waves in a one dimensional warm plasma |
work_keys_str_mv | AT trinesr wavebreakinglimitsforrelativisticelectrostaticwavesinaonedimensionalwarmplasma AT norreysp wavebreakinglimitsforrelativisticelectrostaticwavesinaonedimensionalwarmplasma |