The Grand-Canonical Asymmetric Exclusion Process and the One-Transit Walk
arXiv:cond-mat/0401385 · doi:10.1088/1742-5468/2004/06/P06001
Abstract
The one-dimensional Asymmetric Exclusion Process (ASEP) is a paradigm for nonequilibrium dynamics, in particular driven diffusive processes. It is usually considered in a canonical ensemble in which the number of sites is fixed. We observe that the grand-canonical partition function for the ASEP is remarkably simple. It allows a simple direct derivation of the asymptotics of the canonical normalization in various phases and of the correspondence with One-Transit Walks recently observed by Brak et.al.
Published version