A heterogeneous zero-range process related to a two-dimensional walk model
Statistical Mechanics
2015-05-28 v2 Disordered Systems and Neural Networks
Abstract
We have considered a disordered driven-diffusive system defined on a ring. This system can be mapped onto a heterogeneous zero-range process. We have shown that the grand-canonical partition function of this process can be obtained using a matrix product formalism and that it is exactly equal to the partition function of a two-dimensional walk model. The canonical partition function of this process is also calculated. Two simple examples are presented in order to confirm the results.
Cite
@article{arxiv.1106.0174,
title = {A heterogeneous zero-range process related to a two-dimensional walk model},
author = {S. R. Masharian and F. H. Jafarpour},
journal= {arXiv preprint arXiv:1106.0174},
year = {2015}
}
Comments
5 pages, 2 eps figures