Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2008-03-18
Nonlinear Sciences
Chaotic Dynamics
19 pages, no figures. Submitted to Phys. Lett. A
Scientific paper
10.1016/j.physleta.2008.03.034
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.
Gibbons John
Holm Darryl D.
Tronci Cesare
No associations
LandOfFree
Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometry of Vlasov kinetic moments: a bosonic Fock space for the symmetric Schouten bracket will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-638920