Reversibility and entropy production of inhomogeneous Markov chains

DOI10.1239/jap/1165505205zbMath1133.60343OpenAlexW1993929549MaRDI QIDQ5441520

Hao Ge, Min Qian, Da-quan Jiang

Publication date: 15 February 2008

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1165505205

zbMATH Keywords

rotation numberBrownian motorinstantaneous entropy productioninstantaneous reversibility

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (6)

Toward a mathematical theory of trajectory inference ⋮ On the final size of epidemics in random environment ⋮ Refined second law of thermodynamics for fast random processes ⋮ On the basic reproduction number in a random environment ⋮ Generalized Jarzynski's equality of inhomogeneous multidimensional diffusion processes ⋮ Level 2.5 large deviations for continuous-time Markov chains with time periodic rates

Cites Work

• Mathematical theory of nonequilibrium steady states. On the frontier of probability and dynamical systems.
• A simple discrete model of Brownian motors: time-periodic Markov chains
• Variational Principle for Non-Equilibrium States and the Onsager-Machlup Formula
• On the Construction of a Time-Reversed Markoff Process
• Variational Approach in Studies with Fokker-Planck Equations
• Circulation for recurrent markov chains
• Stochastic resonance in piecewise potentials
• Brownian motors: noisy transport far from equilibrium
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Reversibility and entropy production of inhomogeneous Markov chains