Bulk-driven non-equilibrium phase transitions in a mesoscopic ring

TL;DR

This paper investigates phase transitions in a mesoscopic one-dimensional exclusion process with driven and diffusive parts, revealing bulk-driven phase transitions and complex correlations through theoretical and simulation methods.

Contribution

It introduces a mesoscopic model combining driven and diffusive dynamics, identifying bulk-driven phase transitions and analyzing correlation effects with mean-field theory and Monte-Carlo simulations.

Findings

Identification of bulk-driven phase transitions

Observation of complex correlation effects

Validation through mean-field and Monte-Carlo methods

Abstract

We study a periodic one-dimensional exclusion process composed of a driven and a diffusive part. In a mesoscopic limit where both dynamics compete we identify bulk-driven phase transitions. We employ mean-field theory complemented by Monte-Carlo simulations to characterize the emerging non-equilibrium steady states. Monte-Carlo simulations reveal interesting correlation effects that we explain phenomenologically.