Global Thermodynamics for Heat Conduction Systems

Abstract

We propose the concept of global temperature for spatially non-uniform heat conduction systems. With this novel quantity, we present an extended framework of thermodynamics for the whole system such that the fundamental relation of thermodynamics holds, which we call "global thermodynamics" for heat conduction systems. Associated with this global thermodynamics, we formulate a variational principle for determining thermodynamic properties of the liquid-gas phase coexistence in heat conduction, which corresponds to the natural extension of the Maxwell construction for equilibrium systems. We quantitatively predict that the temperature of the liquid-gas interface deviates from the equilibrium transition temperature. This result indicates that a super-cooled gas stably appears near the interface.

59 pages, 20 figures

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• Motility-Induced Phase Separation
• 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
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Cited by in corpus (7)

• Unique extension of the maximum entropy principle to phase coexistence in heat conduction
• Stochastic order parameter dynamics for phase coexistence in heat conduction
• Control of Metastable States by Heat Flux in the Hamiltonian Potts Model
• Electric-field driven nonequilibrium phase transitions in AdS/CFT
• Holographic D-brane constructions with dynamical gauge fields
• Thermodynamics of stationary states of the ideal gas in a heat flow
• Violation of local equilibrium thermodynamics in one-dimensional Hamiltonian-Potts model