Phase diagram and density large deviations of a nonconserving ABC model

TL;DR

This paper investigates how slow particle-nonconserving processes influence the steady state of driven diffusive systems, using a generalized ABC model to analyze phase diagrams and large deviations in particle density.

Contribution

It introduces a method to compute the large deviation function of particle density using the conserving model's steady state, enabling analysis of phase transitions in nonconserving driven systems.

Findings

Large deviation function can be derived from the conserving model's steady state.

First order phase transitions identified via Maxwell's construction.

Method applicable to other driven models with slow nonconserving dynamics.

Abstract

The effect of particle-nonconserving processes on the steady state of driven diffusive systems is studied within the context of a generalized ABC model. It is shown that in the limit of slow nonconserving processes, the large deviation function of the overall particle density can be computed by making use of the steady state density profile of the conserving model. In this limit one can define a chemical potential and identify first order transitions via Maxwell's construction, similarly to what is done in equilibrium systems. This method may be applied to other driven models subjected to slow nonconserving dynamics.