2006/05/31 by A. M. Povolotsky, V. B. Priezzhev · 1 citation
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Random Matrices and Applications #Stochastic processes and statistical mechanics #cond-mat.stat-mech #math-ph #math.MP
paper · pdf · doi:10.1088/1742-5468/2006/07/p07002
published as J. Stat. Mech. (2006) P07002 · 34 pages, 5 figures, final version
openalex publication_date 2006/07/12 · arxiv created 2006/07/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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 nonstationary 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.