On Matrix Product Ground States for Reaction-Diffusion Models

Abstract

We discuss a new mechanism leading to a matrix product form for the stationary state of one-dimensional stochastic models. The corresponding algebra is quadratic and involves four different matrices. For the example of a coagulation-decoagulation model explicit four-dimensional representations are given and exact expressions for various physical quantities are recovered. We also find the general structure of $n$-point correlation functions at the phase transition.

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References in corpus (2)

• Representations of the quadratic Algebra and Partially Asymmetric Diffusion with Open Boundaries
• Solution of a One-Dimensional Reaction-Diffusion Model with Spatial Asymmetry

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