Statistical mechanics of holonomic systems as a Brownian motion on smooth manifolds

DOI10.1002/andp.201500221zbMath1351.82059OpenAlexW2109621655MaRDI QIDQ2812794

Fabio Manca, Pierre-Michel Déjardin, Stefano Giordano

Publication date: 13 June 2016

Published in: Annalen der Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/andp.201500221

zbMATH Keywords

Fokker-Planck equationLangevin equationHamilton equationsLagrange equationsKramers equationBrownian motion on smoooth manifoldscovarian formsvariational derivations

Mathematics Subject Classification ID

Brownian motion (60J65) Hamilton's equations (70H05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Variational principles of physics (49S05) Lagrange's equations (70H03) Existence of optimal solutions to problems involving randomness (49J55) Fokker-Planck equations (35Q84)

Related Items (3)

On the One‐Dimensional Transition State Theory and the Relation between Statistical and Deterministic Oscillation Frequencies of Anharmonic Energy Wells ⋮ Stochastic thermodynamics of holonomic systems ⋮ Spectral analysis of the collective diffusion of Brownian particles confined to a spherical surface

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