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Persistent URL
http://purl.org/net/epubs/work/51323
Record Status
Checked
Record Id
51323
Title
Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas
Contributors
DA Burton (Cockcroft Inst., and Lancaster Univ.)
,
A Noble (Lancaster Univ. and Strathclyde Univ.)
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
Funding Information
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Language
English (EN)
Type
Details
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Year
Journal Article
J Phys A-Math Theor
43, no. 7 (2010): 075502.
doi:10.1088/1751-8113/43/7/075502
2010
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