Reaction fronts in stochastic exclusion models with three-site interactions

TL;DR

This paper investigates reaction fronts in stochastic exclusion models with three-site interactions, revealing exact diffusive shock measures, unique phenomena like double shocks, and connections to free fermion models, expanding understanding beyond nearest neighbor systems.

Contribution

It introduces and analyzes three-site interaction models with exact shock measures, highlighting new phenomena and symmetries not present in simpler models.

Findings

Existence of exact diffusive shock measures in certain models

Observation of double shocks and additional symmetries

Link between domain wall motion and free fermion description

Abstract

The microscopic structure and movement of reaction fronts in reaction diffusion systems far from equilibrium are investigated. We show that some three-site interaction models exhibit exact diffusive shock measures, i.e. domains of different densities connected by a sharp wall without correlations. In all cases fluctuating domains grow at the expense of ordered domains, the absence of growth is possible between ordered domains. It is shown that these models give rise to aspects not seen in nearest neighbor models, viz. double shocks and additional symmetries. A classification of the systems by their symmetries is given and the link of domain wall motion and a free fermion description is discussed.