On Matrix Product Ground States for Reaction-Diffusion Models
Condensed Matter
2009-10-28 v1
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 -point correlation functions at the phase transition.
Cite
@article{arxiv.cond-mat/9510104,
title = {On Matrix Product Ground States for Reaction-Diffusion Models},
author = {Haye Hinrichsen and Sven Sandow and Ingo Peschel},
journal= {arXiv preprint arXiv:cond-mat/9510104},
year = {2009}
}
Comments
LaTeX source, 7 pages, no figures