Phase Coexistence in Driven One Dimensional Transport

TL;DR

This paper investigates a one-dimensional driven transport model with random particle attachment and detachment, revealing unexpected phase coexistence phenomena and providing a phase diagram through mean-field analysis and simulations.

Contribution

It introduces a new model with non-conserved dynamics and characterizes its phase coexistence and phase diagram using mean-field and Monte Carlo methods.

Findings

Identification of phase coexistence of low and high density regions.

Prediction of the phase diagram for the non-conserved system.

Confirmation of theoretical predictions with numerical simulations.

Abstract

We study a one-dimensional totally asymmetric exclusion process with random particle attachments and detachments in the bulk. The resulting dynamics leads to unexpected stationary regimes for large but finite systems. Such regimes are characterized by a phase coexistence of low and high density regions separated by domain walls. We use a mean-field approach to interpret the numerical results obtained by Monte-Carlo simulations and we predict the phase diagram of this non-conserved dynamics in the thermodynamic limit.