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

Research output: Contribution to journalJournal article

Published
Article number075502
<mark>Journal publication date</mark>19/02/2010
<mark>Journal</mark>Journal of Physics A: Mathematical and Theoretical
Issue number7
Volume43
Number of pages19
Publication statusPublished
Original languageEnglish

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.