2008/03/18 by John Gibbons, Darryl D. Holm, Darryl D Holm +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Hemoglobin structure and function #Nonlinear Waves and Solitons #math-ph #math.MP #nlin.CD #physics.plasm-ph
paper · pdf · doi:10.1016/j.physleta.2008.03.034
19 pages, no figures. Submitted to Phys. Lett. A
arxiv created 2008/03/18 · openalex publication_date 2008/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.