Determinant solution for the Totally Asymmetric Exclusion Process with parallel update

Details Determinant solution for the Totally Asymmetric Exclusion Process with parallel update Determinant solution for the Totally Asymmetric Exclusion Process with parallel update

2006-05-05

arxiv.org/abs/cond-mat/0605150v2

J. Stat. Mech. (2006) P07002

Physics

Condensed Matter

Statistical Mechanics

34 pages, 5 figures, final version

Scientific paper

10.1088/1742-5468/2006/07/P07002

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.

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