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 General, 43 (7). ISSN 0305-4470Full text not available from this repository.
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.
|Journal or Publication Title:||Journal of Physics A: Mathematical and General|
|Subjects:||Q Science > QC Physics|
|Departments:||Faculty of Science and Technology > Physics|
|Deposited By:||Dr David Burton|
|Deposited On:||26 Aug 2010 16:04|
|Last Modified:||21 Mar 2013 08:43|
Actions (login required)