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

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

doi:10.1088/1742-5468/2004/06/P06001

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

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

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	P06001
Pages (from-to)	-
Number of pages	10
Journal	Journal of Statistical Mechanics: Theory and Experiment
DOIs	https://doi.org/10.1088/1742-5468/2004/06/P06001
Publication status	Published - Jun 2004

Keywords / Materials (for Non-textual outputs)

driven diffusive systems (theory)
MODEL
SYSTEM

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10.1088/1742-5468/2004/06/P06001

Cite this

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

Abstract

Keywords / Materials (for Non-textual outputs)

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