The Grand-Canonical Asymmetric Exclusion Process and the One-Transit Walk

Details The Grand-Canonical Asymmetric Exclusion Process and the One-Transit Walk The Grand-Canonical Asymmetric Exclusion Process and the One-Transit Walk

2004-01-21

arxiv.org/abs/cond-mat/0401385v3

JSTAT (2004) P06001

Physics

Condensed Matter

Statistical Mechanics

Published version

Scientific paper

10.1088/1742-5468/2004/06/P06001

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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