The grand-canonical asymmetric exclusion process and the one-transit walk

Richard Blythe, W Janke, D A Johnston, R Kenna

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article numberP06001
Pages (from-to)-
Number of pages10
Journal Journal of Statistical Mechanics: Theory and Experiment
Publication statusPublished - Jun 2004


  • driven diffusive systems (theory)


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