Unique extension of the maximum entropy principle to phase coexistence in heat conduction

Abstract

The maximum entropy principle determines the values of thermodynamic variables in thermally isolated equilibrium systems. This paper extends the principle to a variational principle that applies to liquid-gas coexistence in heat conduction. We show the uniqueness of the extension under the assumption that the variational principle and the fundamental thermodynamic relation are simultaneously extended in the linear response regime with the total energy fixed. Using the extended variational principle, we calculate the thermodynamic quantities in this steady state and find that the temperature of the liquid-gas interface deviates from the equilibrium transition temperature, which should be verified in experiments.

References in corpus (7)

• Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation
• An expression for stationary distribution in nonequilibrium steady state
• Representation of nonequilibrium steady states in large mechanical systems
• Minimum entropy production principle from a dynamical fluctuation law
• Intensive thermodynamic parameters in nonequilibrium systems
• Liquid-gas transitions in steady heat conduction
• Continuous non-equilibrium transition driven by the heat flow

Cited by in corpus (3)

• Control of Metastable States by Heat Flux in the Hamiltonian Potts Model
• Thermodynamics of stationary states of the ideal gas in a heat flow
• Violation of local equilibrium thermodynamics in one-dimensional Hamiltonian-Potts model