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

R. A. Blythe·W. Janke·D. A. Johnston·R. Kenna
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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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R. A. Blythe, W. Janke, D. A. Johnston, R. Kenna. 2004-10-12. The Grand-Canonical Asymmetric Exclusion Process and the One-Transit Walk. https://doi.org/10.1088/1742-5468%2F2004%2F06%2Fp06001

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