Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket
arXiv:0803.2667 · doi:10.1016/j.physleta.2008.03.034
Abstract
The dynamics of Vlasov kinetic moments is shown to be Lie-Poisson on the dual Lie algebra of symmetric contravariant tensor fields. The corresponding Lie bracket is identified with the symmetric Schouten bracket and the moment Lie algebra is related with a bundle of bosonic Fock spaces, where creation and annihilation operators are used to construct the cold plasma closure. Kinetic moments are also shown to define a momentum map, which is infinitesimally equivariant. This momentum map is the dual of a Lie algebra homomorphism, defined through the Schouten bracket. Finally the moment Lie-Poisson bracket is extended to anisotropic interactions.
19 pages, no figures. Submitted to Phys. Lett. A
References in corpus (3)
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