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||Journal of Statistical Mechanics: Theory and Experiment|
|Publication status||Published - 10 Jun 2004|
Bibliographical noteThe full text is also available from: http://de.arxiv.org/abs/cond-mat/0401385
This is an author-created, un-copyedited version of an article published in Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1742-5468/2004/06/P06001.
Blythe, R. A., Janke, W., Johnston, D. A., & Kenna, R. (2004). The grand-canonical asymmetric exclusion process and the one-transit walk. Journal of Statistical Mechanics: Theory and Experiment, 2004, [P06001]. https://doi.org/10.1088/1742-5468/2004/06/P06001