Static large deviations of boundary driven exclusion processes

Abstract

We prove that the stationary measure associated to a boundary driven exclusion process in any dimension satisfies a large deviation principle with rate function given by the quasi potential of the Freidlin and Wentzell theory.

23 pages

References in corpus (3)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process
• Large deviation approach to non equilibrium processes in stochastic lattice gases

Cited by in corpus (5)

• Harmonic Systems With Bulk Noises
• Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process
• Steady state large deviations for one-dimensional, symmetric exclusion processes in weak contact with reservoirs
• Hitting times of rare events in boundary driven symmetric simple exclusion processes
• Microscopic and macroscopic perspectives on stationary nonequilibrium states