Determinant solution for the Totally Asymmetric Exclusion Process with parallel update
Statistical Mechanics
2007-05-23 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.cond-mat/0605150,
title = {Determinant solution for the Totally Asymmetric Exclusion Process with parallel update},
author = {A. M. Povolotsky and V. B. Priezzhev},
journal= {arXiv preprint arXiv:cond-mat/0605150},
year = {2007}
}
Comments
34 pages, 5 figures, final version