The entropy production of diffusion processes on manifolds and its circulation decompositions

DOI10.1007/s002200050712zbMath0948.58026OpenAlexW2313816081MaRDI QIDQ1961083

Min Qian, Zheng-Dong Wang

Publication date: 19 November 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050712

zbMATH Keywords

diffusion processentropy productioncirculation decompositionstationary drifted Brownian motions

Mathematics Subject Classification ID

Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items

Bivectorial nonequilibrium thermodynamics: cycle affinity, vorticity potential, and Onsager's principle, Mathematical representation of Clausius' and Kelvin's statements of the second law and irreversibility, A decomposition of irreversible diffusion processes without detailed balance, The zeroth law of thermodynamics and volume-preserving conservative system in equilibrium with stochastic damping, Characterising the nonequilibrium stationary states of Ornstein–Uhlenbeck processes