The Grand-Canonical Asymmetric Exclusion Process and the One-Transit Walk
Statistical Mechanics
2016-08-31 v3
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.
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Cite
@article{arxiv.cond-mat/0401385,
title = {The Grand-Canonical Asymmetric Exclusion Process and the One-Transit Walk},
author = {R. A. Blythe and W. Janke and D. A. Johnston and R. Kenna},
journal= {arXiv preprint arXiv:cond-mat/0401385},
year = {2016}
}
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