Reaction fronts in stochastic exclusion models with three-site interactions

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.

29 pages, 5 figures

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• Equivalence of a one-dimensional driven-diffusive system and an equilibrium two-dimensional walk model
• Finite-dimensional representation of the quadratic algebra of a generalized coagulation-decoagulation model
• Multi-species reaction-diffusion models admitting shock solutions
• Relaxation time in a non-conserving driven-diffusive system with parallel dynamics