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Exact density profiles for fully asymmetric exclusion process with discrete-time dynamics

Jordan Brankov·Nina Pesheva
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Abstract

Exact density profiles in the steady state of the one-dimensional fully asymmetric simple exclusion process on semi-infinite chains are obtained in the case of forward-ordered sequential dynamics by taking the thermodynamic limit in our recent exact results for a finite chain with open boundaries. The corresponding results for sublattice parallel dynamics follow from the relationship obtained by Rajewsky and Schreckenberg [Physica A 245, 139 (1997)] and for parallel dynamics from the mapping found by Evans, Rajewsky and Speer [J. Stat. Phys. 95, 45 (1999)]. By comparing the asymptotic results appropriate for parallel update with those published in the latter paper, we correct some technical errors in the final results given there.

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Jordan Brankov, Nina Pesheva. 2001-01-02. Exact density profiles for fully asymmetric exclusion process with discrete-time dynamics. https://doi.org/10.1103/physreve.63.046111

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