Driven Diffusive Systems: How Steady States Depend on Dynamics

Abstract

In contrast to equilibrium systems, non-equilibrium steady states depend explicitly on the underlying dynamics. Using Monte Carlo simulations with Metropolis, Glauber and heat bath rates, we illustrate this expectation for an Ising lattice gas, driven far from equilibrium by an `electric' field. While heat bath and Glauber rates generate essentially identical data for structure factors and two-point correlations, Metropolis rates give noticeably weaker correlations, as if the `effective' temperature were higher in the latter case. We also measure energy histograms and define a simple ratio which is exactly known and closely related to the Boltzmann factor for the equilibrium case. For the driven system, the ratio probes a thermodynamic derivative which is found to be dependent on dynamics.

References in corpus (2)

• Finite-Size Scaling in the Driven Lattice Gas
• Transverse Fluctuations in the Driven Lattice Gas

Cited by in corpus (6)

• Non-equilibrium phase transition in an exactly solvable driven Ising model with friction
• Nonlinear conductivity of two-dimensional Coulomb glasses
• Sheared Ising models in three dimensions
• On-site residence time in a driven diffusive system: violation and recovery of mean-field
• Continuous Time Monte Carlo and Spatial Ordering in Driven Lattice Gases: Application to Driven Vortices in Periodic Superconducting Networks
• A Novel Mechanism of Ordering in a Coupled Driven System: Vacancy Induced Phase Separation