Vlasov moment flows and geodesics on the Jacobi group

DOI10.1063/1.4763467zbMath1287.37045arXiv1105.1734OpenAlexW3103768435MaRDI QIDQ2872447

Cesare Tronci, François Gay-Balmaz

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1734

zbMATH Keywords

Jacobi groupBloch-Iserles dynamicsVlasov movement

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (10)

On geometry of multiscale mass action law and its fluctuations ⋮ Geometry and dynamics of Gaussian wave packets and their Wigner transforms ⋮ Madelung transform and probability densities in hybrid quantum–classical dynamics ⋮ Koopman wavefunctions and classical–quantum correlation dynamics ⋮ \(G\)-strands ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball ⋮ Hamiltonian reductions of the one-dimensional Vlasov equation using phase-space moments ⋮ Momentum maps for mixed states in quantum and classical mechanics ⋮ Koopman wavefunctions and classical states in hybrid quantum-classical dynamics ⋮ Riemannian geometry of the contactomorphism group

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