Hamiltonian reductions for modeling relativistic laser-plasma interactions

► We examine Hamiltonian reductions of the Vlasov–Maxwell system. ► We demonstrate a fluid-like reduction without a closure. ► We construct a self-consistent moment-based description of a beam-plasma system. We show two applications of Hamiltonian reductions related to relativistic laser-plasma inte...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2012-05, Vol.17 (5), p.2153-2160
Main Authors: Shadwick, B.A., Tarkenton, G.M., Esarey, E., Lee, Frank M.
Format: Article
Language:English
Subjects:
Asymptotic properties
Computer simulation
Fluid models
Formalism
Hamiltonian reduction
Laser-plasma interactions
Mathematical analysis
Mathematical models
Moments
Nonlinearity
Preserves
Reduction
Relativistic plasmas
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Summary:► We examine Hamiltonian reductions of the Vlasov–Maxwell system. ► We demonstrate a fluid-like reduction without a closure. ► We construct a self-consistent moment-based description of a beam-plasma system. We show two applications of Hamiltonian reductions related to relativistic laser-plasma interactions starting from the Vlasov–Maxwell equation. The use of the Hamiltonian formalism ensures a consistent asymptotic ordering and results in reduced models that maximally preserve the structure of Vlasov–Maxwell system.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2011.05.045