Real-space renormalisation group approach to driven diffusive systems

TL;DR

This paper presents a real-space renormalisation group method for driven diffusive systems, accurately predicting steady state phases and dynamic relaxation behaviors, exemplified by the boundary driven asymmetric simple exclusion process.

Contribution

It introduces a novel RG procedure that effectively captures both steady state and dynamic properties of driven diffusive systems, including exact phase diagrams.

Findings

Recovered exact steady state phase diagram.

Described crossover behaviors in relaxation dynamics.

Validated method on asymmetric simple exclusion process.

Abstract

We introduce a real-space renormalisation group procedure for driven diffusive systems which predicts both steady state and dynamic properties. We apply the method to the boundary driven asymmetric simple exclusion process and recover exact results for the steady state phase diagram, as well as the crossovers in the relaxation dynamics for each phase.