Hamiltonian closures for fluid models with four moments by dimensional analysis Article Swipe

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Jacobi identity Hamiltonian (control theory) Poisson bracket Casimir effect Mathematical physics Poisson distribution Mathematics Vlasov equation Covariant Hamiltonian field theory Kinetic energy Physics Classical mechanics Hamiltonian system Mathematical analysis Pure mathematics Quantum mechanics Plasma Mathematical optimization Statistics Lie algebra

M. Perin , C. Chandré , P. Morrison , E. Tassi ·

YOU? · · 2015 · Open Access · · DOI: https://doi.org/10.1088/1751-8113/48/27/275501 · OA: W2201996776

Fluid reductions of the Vlasov-Amp{è}re equations that preserve the Hamiltonian structure of the parent kinetic model are investigated. Hamiltonian closures using the first four moments of the Vlasov distribution are obtained, and all closures provided by a dimensional analysis procedure for satisfying the Jacobi identity are identified. Two Hamiltonian models emerge, for which the explicit closures are given, along with their Poisson brackets and Casimir invariants.