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Persistent URL http://purl.org/net/epubs/work/51323
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Record Id 51323
Title Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas
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 $E_{\rm max}$ of non-linear longitudinal electric waves for a particular class of waterbags whose geometry is a simple $3$-dimensional generalization (in velocity) of the $1$-dimensional KM waterbag (in velocity). It has been shown previously that the value of $\lim_{v\rightarrow c}E_{\rm max}$ (with the effective temperature of the plasma electrons held fixed) diverges for the KM model; however, we show that a certain class of simple $3$-dimensional waterbags exhibit a finite value for $\lim_{v\rightarrow c}E_{\rm max}$, where $v$ is the phase velocity of the wave and $c$ is the speed of light.
Organisation CI
Keywords Physics
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Language English (EN)
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Journal Article J Phys A-Math Theor 43, no. 7 (2010): 075502. doi:10.1088/1751-8113/43/7/075502 2010