Home > Research > Publications & Outputs > Longitudinal wave-breaking limits in a unified ...
View graph of relations

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

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Article number075502
<mark>Journal publication date</mark>19/02/2010
<mark>Journal</mark>Journal of Physics A: Mathematical and Theoretical
Issue number7
Number of pages19
Publication StatusPublished
<mark>Original language</mark>English


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.