Criterion for phase separation in one-dimensional driven systems

TL;DR

This paper proposes a general criterion based on steady-state current size dependence to determine phase separation in driven one-dimensional systems, linking it to zero-range process behavior.

Contribution

It introduces a new, quantitative criterion for phase separation in 1D driven systems, connecting steady-state current properties with zero-range process models.

Findings

Criterion applies to various driven diffusive models

Phase separation correlates with current size dependence

Validated through analysis of specific models

Abstract

A general criterion for the existence of phase separation in driven one-dimensional systems is proposed. It is suggested that phase separation is related to the size dependence of the steady-state currents of domains in the system. A quantitative criterion for the existence of phase separation is conjectured using a correspondence made between driven diffusive models and zero-range processes. Several driven diffusive models are discussed in light of the conjecture.