Thermodynamic relations in a driven lattice gas: numerical exprements
arXiv:cond-mat/0212179 · doi:10.1103/PhysRevE.68.035104
Abstract
We explore thermodynamic relations in non-equilibrium steady states with numerical experiments on a driven lattice gas. After operationally defining the pressure and chemical potential in the driven lattice gas, we confirm numerically the validity of the integrability condition (the Maxwell relation) for the two quantities whose values differ from those for an equilibrium system. This implies that a free energy function can be constructed for the non-equilibrium steady state that we consider. We also investigate a fluctuation relation associated with this free energy function. Our result suggests that the compressibility can be expressed in terms of density fluctuations even in non-equilibrium steady states.
4 pages, 4 figures
References in corpus (1)
Cited by in corpus (22)
- Effective temperature in nonequilibrium steady states of Langevin systems with a tilted periodic potential
- Approximate thermodynamic structure for driven lattice gases in contact
- Nonequilibrium steady states in contact: Approximate thermodynamic structure and zero-th law for driven lattice gases
- Global Thermodynamics for Heat Conduction Systems
- Linear response theory in stochastic many-body systems revisited
- Inconsistencies in steady state thermodynamics
- Center of mass perturbation as a normalizable estimate of dynamic balance in gait: an application comparing typically developing children with spastic cerebral palsy
- Zeroth law of thermodynamics for nonequilibrium steady states in contact
- Einstein relation and hydrodynamics of nonequilibrium mass transport processes
- Large deviations and chemical potential in bulk-driven systems in contact
- A fluctuation-response relation of many Brownian particles under non-equilibrium conditions
- Extended Einstein relations with a complex effective temperature in a one dimensional driven lattice gas
- Spatial correlations, additivity and fluctuations in conserved-mass transport processes
- Thermodynamic Theory of Phase Transitions in Driven Lattice Gases
- Nonequilibrium chemical potentials of steady-state lattice gas models in contact: A large-deviations approach
- A perturbation theory for large deviation functionals in fluctuating hydrodynamics
- Nonequilibrium grand-canonical ensemble built from a physical particle reservoir
- Systematic derivation of coarse-grained fluctuating hydrodynamic equations for many Brownian particles under non-equilibrium condition
- Zero range and finite range processes with asymmetric rate functions
- Steady state thermodynamics
- Fluctuation-dissipation relations outside the linear response regime in a two-dimensional driven lattice gas along the direction transverse to the driving force
- Complex Transport Phenomena in a Simple Lattice Gas System