摘要：AbstractWe 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.
关键词：Keywordsstochastic thermodynamicsfluctuation dissipationnon-equilibrium potentialsthermodynamic availabilityLyapunov functionPDEspassivity based control
