Open boundary conditions in stochastic transport processes with pair-factorized steady states

TL;DR

This paper investigates how open boundary conditions influence condensation and phase behavior in stochastic transport models, specifically the zero-range process and pair-factorized steady states, using numerical methods.

Contribution

It extends understanding of boundary effects in PFSS models, revealing supercritical phases with droplet formation under strong boundary drives.

Findings

Open boundary conditions induce supercritical phases with droplet formation.

The phase structure of PFSS models is similar to ZRP but with new boundary-driven phenomena.

Numerical results align with and extend existing analytical insights.

Abstract

Using numerical methods we discuss the effects of open boundary conditions on condensation phenomena in the zero-range process (ZRP) and transport processes with pair-factorized steady states (PFSS), an extended model of the ZRP with nearest-neighbor interaction. For the zero-range process we compare to analytical results in the literature with respect to criticality and condensation. For the extended model we find a similar phase structure, but observe supercritical phases with droplet formation for strong boundary drives.