Stationary states of boundary driven exclusion processes with nonreversible boundary dynamics

Abstract

We prove a law of large numbers for the empirical density of one-dimensional, boundary driven, symmetric exclusion processes with different types of non-reversible dynamics at the boundary. The proofs rely on duality techniques.

References in corpus (2)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Hydrodynamic limit of boundary driven exclusion processes with nonreversible boundary dynamics

Cited by in corpus (5)

• Hydrodynamic limit of boundary driven exclusion processes with nonreversible boundary dynamics
• Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part I, the critical regime and beyond
• Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part II, below the critical regime
• Thermodynamics of nonequilibrium driven diffusive systems in mild contact with boundary reservoirs
• Asymmetric attractive zero-range processes with particle destruction at the origin