Non-equilibrium thermodynamics and topology of currents

DOI10.1007/s10955-009-9832-zzbMath1179.82107arXiv0907.3481OpenAlexW3101345186MaRDI QIDQ1042476

Sergey V. Malinin, Vladimir Y. Chernyak, Razvan Teodorescu, Michael Chertkov

Publication date: 14 December 2009

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

Full work available at URL: https://arxiv.org/abs/0907.3481

zbMATH Keywords

topological field theoryMarkov chaininstantonweak noisetopological currentnon-equilibrium statistical mechanicsCramér functional

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Point estimation (62F10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Topological field theories in quantum mechanics (81T45) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (11)

Topological field theory of dynamical systems ⋮ A formal view on level 2.5 large deviations and fluctuation relations ⋮ Flux in tilted potential systems: negative resistance and persistence ⋮ Non-equilibrium statistical physics of currents in queuing networks ⋮ ASEP on a ring conditioned on enhanced flux ⋮ Variational and optimal control representations of conditioned and driven processes ⋮ Linear PDEs and eigenvalue problems corresponding to ergodic stochastic optimization problems on compact manifolds ⋮ Nonequilibrium Markov processes conditioned on large deviations ⋮ Level 2.5 large deviations for continuous-time Markov chains with time periodic rates ⋮ Non-equilibrium thermodynamics and topology of currents ⋮ Large-deviation theory for a Brownian particle on a ring: a WKB approach

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