Dissipative brackets for the Fokker-Planck equation in Hamiltonian systems and characterization of metriplectic manifolds

DOI10.1016/j.physd.2020.132571OpenAlexW2994001792MaRDI QIDQ2127377

Naoki Sato

Publication date: 20 April 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03075

zbMATH Keywords

Fokker-Planck equationPoisson bracketnon-canonical Hamiltonian systemsdissipative bracketmetriplectic bracket

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Numerical solution of the Fokker-Planck equation using physics-based mixture models ⋮ Statistical mechanics with non-integrable topological constraints: Self-organization in knotted phase space ⋮ The effect of spacetime curvature on statistical distributions

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