Matrix Product Ground States for Asymmetric Exclusion Processes with Parallel Dynamics
Condensed Matter
2009-10-28 v1
Abstract
We show in the example of a one-dimensional asymmetric exclusion process that stationary states of models with parallel dynamics may be written in a matrix product form. The corresponding algebra is quadratic and involves three different matrices. Using this formalism we prove previous conjectures for the equal-time correlation functions of the model.
Cite
@article{arxiv.cond-mat/9512172,
title = {Matrix Product Ground States for Asymmetric Exclusion Processes with Parallel Dynamics},
author = {Haye Hinrichsen},
journal= {arXiv preprint arXiv:cond-mat/9512172},
year = {2009}
}
Comments
LaTeX, 8 pages, one postscript figure