Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas

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Burton, David and Noble, Adam (2010) Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas. Journal of Physics A: Mathematical and Theoretical, 43 (7). 075502. ISSN 0305-4470 (https://doi.org/10.1088/1751-8113/43/7/075502)

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Abstract

The covariant Vlasov–Maxwell system is used to study the breaking of relativistic warm plasma waves. The well-known theory of relativistic warm plasmas due to Katsouleas and Mori (KM) is subsumed within a unified geometric formulation of the 'waterbag' paradigm over spacetime. We calculate the maximum amplitude Emax of nonlinear longitudinal electric waves for a particular class of waterbags whose geometry is a simple three-dimensional generalization (in velocity) of the one-dimensional KM waterbag (in velocity). It has been shown previously that the value of limv → cEmax (with the effective temperature of the plasma electrons held fixed) diverges for the KM model; however, we show that a certain class of simple three-dimensional waterbags exhibit a finite value for limv → cEmax, where v is the phase velocity of the wave and c is the speed of light.

ORCID iDs

Burton, David and Noble, Adam ORCID logoORCID: https://orcid.org/0000-0002-8181-7076;
  • Item type:Article
    ID code:40770
    Dates:
    Date
    Event
    19 February 2010
    Published
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:08 Aug 2012 11:59
    Last modified:11 Nov 2024 10:12
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/40770
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