Approximate thermodynamic structure for driven lattice gases in contact

Abstract

For a class of nonequilibrium systems, called driven lattice gases, we study what happens when two systems are kept in contact and allowed to exchange particles with the total number of particles conserved. Both for attractive and repulsive nearest-neighbor interactions among particles and for a wide range of parameter values, we find that, to a good approximation, one could define an intensive thermodynamic variable, like equilibrium chemical potential, which determines the final steady state for two initially separated driven lattice gases brought into contact. However, due to nontrivial contact dynamics, there are also observable deviations from this simple thermodynamic law. To illustrate the role of the contact dynamics, we study a variant of the zero range process and discuss how the deviations could be explained by a modified large deviation principle. We identify an additional contribution to the large deviation function, which we call the excess chemical potential, for the variant of the zero range process as well as the driven lattice gases. The excess chemical potential depends on the specifics of the contact dynamics and is in general a-priori unknown. A contact dependence implies that even though an intensive variable may equalize, the zeroth law could still be violated.

16 pages, 17 figures

References in corpus (6)

• The large deviation approach to statistical mechanics
• Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
• Entropy and Temperature of a Static Granular Assembly
• Interaction driven real-space condensation
• Intensive thermodynamic parameters in nonequilibrium systems
• Heating mechanism affects equipartition in a binary granular system

Cited by in corpus (24)

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• Lack of an equation of state for the nonequilibrium chemical potential of gases of active particles in contact
• Global Thermodynamics for Heat Conduction Systems
• Gammalike mass distributions and mass fluctuations in conserved-mass transport processes
• Inconsistencies in steady state thermodynamics
• Phase diagram and density large deviations of a nonconserving ABC model
• Flux and storage of energy in non-equilibrium, stationary states
• Zeroth law of thermodynamics for nonequilibrium steady states in contact
• Unique extension of the maximum entropy principle to phase coexistence in heat conduction
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• Stochastic order parameter dynamics for phase coexistence in heat conduction
• Excess entropy production in quantum system: Quantum master equation approach
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• Control of Metastable States by Heat Flux in the Hamiltonian Potts Model
• Thermodynamic Theory of Phase Transitions in Driven Lattice Gases
• 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
• Analysis of entropy production in finitely slow processes between nonequilibrium steady states
• Non-additive large deviations function for the particle densities of driven systems in contact
• Violation of local equilibrium thermodynamics in one-dimensional Hamiltonian-Potts model