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

Burton, David A. 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). ISSN 1751-8113

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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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Physics A: Mathematical and Theoretical
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
34092
Deposited By:
Deposited On:
26 Aug 2010 15:04
Refereed?:
Yes
Published?:
Published
Last Modified:
25 Nov 2020 06:36