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 0305-4470
Full text not available from this repository.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: | Article |
|---|---|
| Journal or Publication Title: | Journal of Physics A: Mathematical and General |
| Subjects: | Q Science > QC Physics |
| Departments: | Faculty of Science and Technology > Physics |
| ID Code: | 34092 |
| Deposited By: | Dr David Burton |
| Deposited On: | 26 Aug 2010 16:04 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 21 Mar 2013 08:43 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/34092 |
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