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.
|Journal of Statistical Mechanics: Theory and Experiment
|Published - 10 Jun 2004
Bibliographical noteThe full text is also available from: http://de.arxiv.org/abs/cond-mat/0401385
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