Determinant solution for the totally asymmetric exclusion process with parallel update

Povolotsky, A. M. and Priezzhev, V. B. (2006) Determinant solution for the totally asymmetric exclusion process with parallel update. Journal of Statistical Mechanics: Theory and Experiment, 2006 (07). P07002-P07002. ISSN 1742-5468

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Official URL: http://doi.org/10.1088/1742-5468/2006/07/P07002

Abstract

We consider the totally asymmetric exclusion process in discrete time with the parallel update. Constructing an appropriate transformation of the evolution operator, we reduce the problem to that solvable by the Bethe ansatz. The non-stationary solution of the master equation for the infinite 1D lattice is obtained in a determinant form. Using a modified combinatorial treatment of the Bethe ansatz, we give an alternative derivation of the resulting determinant expression.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:31
Last Modified: 16 Jul 2018 11:12
URI: http://dair.dias.ie/id/eprint/173

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