Isolated Non-Equilibrium Systems in Contact

Abstract

We investigate a solvable model for energy conserving non-equilibrium steady states. The time-reversal asymmetry of the dynamics leads to the violation of detailed balance and to ergodicity breaking, as manifested by the presence of dynamically inaccessible states. Two such systems in contact do not reach the same effective temperature if standard definitions are used. However, we identify the effective temperature that controls energy flow. Although this operational temperature does reach a common value upon contact, the total entropy of the joint system can decrease.

4 pages, 3 figures

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Cited by in corpus (12)

• Approximate thermodynamic structure for driven lattice gases in contact
• The Zeroth Law of Thermodynamics and Volume-Preserving Conservative Dynamics with Equilibrium Stochastic Damping
• Heating mechanism affects equipartition in a binary granular system
• Nonequilibrium steady states in contact: Approximate thermodynamic structure and zero-th law for driven lattice gases
• Lack of an equation of state for the nonequilibrium chemical potential of gases of active particles in contact
• Large deviations and chemical potential in bulk-driven systems in contact
• Exact time-average distribution for a stationary non-Markovian massive Brownian particle coupled to two heat baths
• Temperature of a Hamiltonian system given as the effective temperature of a non-equilibrium steady state Langevin thermostat
• Influence of flux balance on the generalized chemical potential in mass transport models
• Nonequilibrium chemical potentials of steady-state lattice gas models in contact: A large-deviations approach
• Nonequilibrium grand-canonical ensemble built from a physical particle reservoir
• Non-additive large deviations function for the particle densities of driven systems in contact