Thermodynamic Potentials from Stationary Probabilities⁎. Issue 7 (2019)

• Record Type: Journal Article
• Authors: Fang, Zhou; Ydstie, B. Erik; Gao, Chuanhou
• Is Part Of: IFAC-PapersOnLine. Volume 52:Issue 7(2019)
• Page Start: 96
• Page End: 102
• Publication Date: 2019
• Subjects: stochastic thermodynamics -- fluctuation dissipation -- non-equilibrium potentials -- thermodynamic availability -- Lyapunov function -- PDEs -- passivity based control; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2019.07.017
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: We show that thermodynamic potentials for an open system can be derived from stationary probabilities in a stochastic setting based on balance laws and statistical ensembles. Using a PDE method we find that fundamental thermodynamic relations are derived by taking the thermodynamic limit of the potentials of the stationary distribution. These results provide insights into the thermodynamics of open systems as they link stochastic processes, fluctuation dissipation and mathematical systems theory.