Phase transitions in an exactly soluble one-dimensional exclusion process
Condensed Matter
2009-10-22 v1
Abstract
We consider an exclusion process, with particles injected with rate at the origin and removed with rate at the right boundary of a one-dimensional chain of sites. The particles are allowed to hop onto unoccupied sites, to the right only. For the special case of the model was solved previously by Derrida et al. Here we extend the solution to general . The phase diagram obtained from our exact solution differs from the one predicted by the mean field approximation.
Cite
@article{arxiv.cond-mat/9303038,
title = {Phase transitions in an exactly soluble one-dimensional exclusion process},
author = {G. Schuetz and E. Domany},
journal= {arXiv preprint arXiv:cond-mat/9303038},
year = {2009}
}
Comments
LATEX (23 pages, one figure only partially included, complete figure available upon request), Weizmann preprint WIS-92/96/Dec.-PH