Entropy and nonlinear nonequilibrium thermodynamic relation for heat conducting steady states

DOI10.1007/s10955-010-0095-5zbMath1210.82040arXiv1009.0970OpenAlexW3098875816MaRDI QIDQ625530

Shin-ichi Sasa, Hal Tasaki, Naoko Nakagawa, Teruhisa S. Komatsu

Publication date: 17 February 2011

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

Full work available at URL: https://arxiv.org/abs/1009.0970

zbMATH Keywords

nonequilibrium steady stateClausius relationexcess heat

Mathematics Subject Classification ID

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Diffusion processes (60J60) Transport processes in time-dependent statistical mechanics (82C70) Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28) Foundations of time-dependent statistical mechanics (82C03) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (15)

On Tsallis and Kaniadakis divergences ⋮ The mclennan-zubarev steady state distribution and fluctuation theorems ⋮ Thermodynamics of nonequilibrium driven diffusive systems in mild contact with boundary reservoirs ⋮ Thermodynamic transformations of nonequilibrium states ⋮ Geometrical excess entropy production in nonequilibrium quantum systems ⋮ Extended Clausius relation and entropy for nonequilibrium steady states in heat conducting quantum systems ⋮ Thermal contact through a diathermal wall: a solvable toy model ⋮ Possible extended forms of thermodynamic entropy ⋮ Thermodynamics of stationary states ⋮ Quantitative analysis of the Clausius inequality ⋮ Analysis of slow transitions between nonequilibrium steady states ⋮ Transport coefficients for a confined Brownian ratchet operating between two heat reservoirs ⋮ The explicit form of the rate function for semi-Markov processes and its contractions ⋮ Excess entropy production in quantum system: quantum master equation approach ⋮ Exact equalities and thermodynamic relations for nonequilibrium steady states

Cites Work

• Towards a nonequilibrium thermodynamics: A Self-contained macroscopic description of driven diffusive systems
• Representation of nonequilibrium steady states in large mechanical systems
• From Fluctuations in Hydrodynamics to Nonequilibrium Thermodynamics
• Stationary Distribution and Thermodynamic Relation in Nonequilibrium Steady States
• Model of Nonequilibrium Ensemble: Knudsen Gas
• Rigorous meaning of McLennan ensembles
• Extending the definition of entropy to nonequilibrium steady states
• New Approach to Nonequilibrium Processes

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