Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-11-22
Physics
Condensed Matter
Statistical Mechanics
About 10 pages and 3 figures, new references are added and a comparison is made with the results by de Gier and Nienhuis [Phys
Scientific paper
10.1103/PhysRevE.63.046111
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.
Brankov Jordan
Pesheva Nina
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