Nonequilibrium chemical potentials of steady-state lattice gas models in contact: A large-deviations approach
arXiv:1909.00432 · doi:10.1103/PhysRevE.100.052125
Abstract
We introduce a general framework to describe the stationary state of two driven systems exchanging particles or mass through a contact, in a slow exchange limit. The definition of chemical potentials for the systems in contact requires that the large-deviations function describing the repartition of mass between the two systems is additive, in the sense of being a sum of contributions from each system. We show that this additivity property is satisfied on condition that a macroscopic detailed balance condition holds at contact, and that the coarse-grained contact dynamics satisfies a factorization property. However, the nonequilibrium chemical potentials of the systems in contact keep track of the contact dynamics, and thus do not obey an equation of state. These nonequilibrium chemical potentials can be related either to the equilibrium chemical potential, or to the nonequilibrium chemical potential of the isolated systems. Results are applied both to an exactly solvable driven lattice gas model, and to the Katz-Lebowitz-Spohn model using a numerical procedure to evaluate the chemical potential.
arXiv comment24 pages, 6 figures
References in corpus (45)
- The large deviation approach to statistical mechanics
- Non equilibrium steady states: fluctuations and large deviations of the density and of the current
- Macroscopic fluctuation theory
- Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
- Pressure is not a state function for generic active fluids
- Current fluctuations in non-equilibrium diffusive systems: an additivity principle
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- The effective temperature
- Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter
- Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states
- Generalized thermodynamics of Motility-Induced Phase Separation: Phase equilibria, Laplace pressure, and change of ensembles
- Canonical Analysis of Condensation in Factorised Steady State
- Zero-range process with open boundaries
- Steady State Thermodynamics for Heat Conduction -- Microscopic Derivation
- Factorised Steady States in Mass Transport Models
- An expression for stationary distribution in nonequilibrium steady state
- Motility-induced phase separation of active particles in the presence of velocity alignment
- A meaningful expansion around detailed balance
- Representation of nonequilibrium steady states in large mechanical systems
- Definition and relevance of nonequilibrium intensive thermodynamic parameters
- Rigorous meaning of McLennan ensembles
- Factorised Steady States in Mass Transport Models on an Arbitrary Graph
- Intensive thermodynamic parameters in nonequilibrium systems
- Mathematical Formalism of Nonequilibrium Thermodynamics for Nonlinear Chemical Reaction Systems with General Rate Law
- Entropy production of nano systems with timescale separation
- Twenty five years after KLS: A celebration of non-equilibrium statistical mechanics
- Approximate thermodynamic structure for driven lattice gases in contact
- Construction of the factorized steady state distribution in models of mass transport
- Thermodynamic relations in a driven lattice gas: numerical exprements
- Temperature in nonequilibrium systems with conserved energy
- Subdiffusion and dynamical heterogeneities in a lattice glass model
- Nonequilibrium steady states in contact: Approximate thermodynamic structure and zero-th law for driven lattice gases
- Dependence of the fluctuation-dissipation temperature on the choice of observable
- Exact equalities and thermodynamic relations for nonequilibrium steady states
- Lack of an equation of state for the nonequilibrium chemical potential of gases of active particles in contact
- Inconsistencies in steady state thermodynamics
- On the nonequilibrium relation between potential and stationary distribution for driven diffusion
- Isolated Non-Equilibrium Systems in Contact
- Zeroth law of thermodynamics for nonequilibrium steady states in contact
- Large deviations and chemical potential in bulk-driven systems in contact
- Static and dynamical nonequilibrium fluctuations
- A mass transport model with a simple non-factorized steady-state distribution
- Influence of flux balance on the generalized chemical potential in mass transport models
- Nonequilibrium fluctuation response relation in a time scale separated system
- Uphill migration in coupled driven particle systems