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arXiv:cond-mat/9510104 · Journal of Physics A Mathematical and General

On matrix product ground states for reaction - diffusion models

Haye Hinrichsen B, Sven Sandow, Ingo Peschel

Published Jun 7, 1996• 77 citations
arXivHTMLPDF

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.

DOI
10.1088/0305-4470/29/11/005

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