Hydrodynamic limit of boundary driven exclusion processes with nonreversible boundary dynamics

Abstract

Using duality techniques, we derive the hydrodynamic limit for one-dimensional, boundary-driven, symmetric exclusion processes with different types of non-reversible dynamics at the boundary, for which the classical entropy method fails.

References in corpus (2)

• Duality and hidden symmetries in interacting particle systems
• Stationary states of boundary driven exclusion processes with nonreversible boundary dynamics

Cited by in corpus (7)

• An Introduction to Motility-Induced Phase Separation
• Rheology of active fluids
• Symmetric inclusion process with slow boundary: hydrodynamics and hydrostatics
• Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part I, the critical regime and beyond
• Stationary states of boundary driven exclusion processes with nonreversible boundary dynamics
• Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part II, below the critical regime
• Asymmetric attractive zero-range processes with particle destruction at the origin