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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.

Original language | English |
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Article number | 075502 |

Number of pages | 20 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 43 |

Issue number | 7 |

DOIs | |

Publication status | Published - 19 Feb 2010 |

### Keywords

- plasma physics
- waves
- wave propagation

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## Projects

- 1 Finished