A family of discrete-time exactly-solvable exclusion processes on a one-dimensional lattice

F. Roshani () and M. Khorrami ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2005, vol. 45, issue 3, 399-404

Abstract: A two-parameter family of discrete-time exactly-solvable exclusion processes on a one-dimensional lattice is introduced, which contains the asymmetric simple exclusion process and the drop-push model as particular cases. The process is rewritten in terms of boundary conditions, and the conditional probabilities are calculated using the Bethe-ansatz. This is the discrete-time version of the continuous-time processes already investigated in [1-3]. The drift- and diffusion-rates of the particles are also calculated for the two-particle sector. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Date: 2005
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DOI: 10.1140/epjb/e2005-00193-4

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