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**Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas.** / Burton, David A.; Noble, Adam.

Research output: Contribution to journal › Journal article › peer-review

Burton, DA & Noble, A 2010, 'Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas', *Journal of Physics A: Mathematical and Theoretical*, vol. 43, no. 7, 075502 . https://doi.org/10.1088/1751-8113/43/7/075502

Burton, D. A., & Noble, A. (2010). Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas. *Journal of Physics A: Mathematical and Theoretical*, *43*(7), [075502 ]. https://doi.org/10.1088/1751-8113/43/7/075502

Burton DA, Noble A. Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas. Journal of Physics A: Mathematical and Theoretical. 2010 Feb 19;43(7). 075502 . https://doi.org/10.1088/1751-8113/43/7/075502

@article{c2d40dd16d684d75bef1443d7d770a81,

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 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.",

author = "Burton, {David A.} and Adam Noble",

year = "2010",

month = feb,

day = "19",

doi = "10.1088/1751-8113/43/7/075502",

language = "English",

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journal = "Journal of Physics A: Mathematical and Theoretical",

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TY - JOUR

T1 - Longitudinal wave-breaking limits in a unified geometric model of relativistic warm plasmas

AU - Burton, David A.

AU - Noble, Adam

PY - 2010/2/19

Y1 - 2010/2/19

N2 - 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.

AB - 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.

U2 - 10.1088/1751-8113/43/7/075502

DO - 10.1088/1751-8113/43/7/075502

M3 - Journal article

VL - 43

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 7

M1 - 075502

ER -