The Langevin equation on Lie algebras: Maxwell-Boltzmann is not always the equilibrium

DOI10.1016/j.aop.2009.08.005zbMath1179.82101OpenAlexW2034034262MaRDI QIDQ1047697

Sarada G. Rajeev

Publication date: 5 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.aop.2009.08.005

zbMATH Keywords

LangevinLie groupcurvatureFokker-PlanckMaxwell-Boltzmann

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)

Cites Work

• Brownian motion on a manifold
• Curvatures of left invariant metrics on Lie groups
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Stochastic Problems in Physics and Astronomy
• Brownian motion in a field of force and the diffusion model of chemical reactions
• Unnamed Item
• Unnamed Item