Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket

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dc.creatorGibbons, John
dc.creatorHolm, Darryl D
dc.creatorTronci, Cesare
dc.date2008-03-18
dc.date2008-03-18
dc.date.accessioned2026-07-07T09:34:53Z
dc.date.available2026-07-07T09:34:53Z
dc.descriptionThe 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.
dc.description19 pages, no figures. Submitted to Phys. Lett. A
dc.identifierhttps://arxiv.org/abs/0803.2667
dc.identifierhttp://arxiv.org/abs/0803.2667
dc.identifierdoi:10.1016/j.physleta.2008.03.034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159657
dc.subjectChaotic Dynamics
dc.subjectMathematical Physics
dc.subjectPlasma Physics
dc.titleGeometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket
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