Determinant solution for the TASEP with particle-dependent hopping probabilities on a ring
Statistical Mechanics
2008-07-02 v1 Soft Condensed Matter
Abstract
We consider the totally asymmetric exclusion process on a ring in discrete time with the backward-ordered sequential update and particle-dependent hopping probabilities. Using a combinatorial treatment of the Bethe ansatz, we derive the determinant expression for the non-stationary probability of transitions between particle configurations. In the continuous-time limit, we find a generalization of the recent result, obtained by A. R\'akos and G.M. Sch\"utz for infinite lattice, to the case of ring geometry.
Cite
@article{arxiv.cond-mat/0607751,
title = {Determinant solution for the TASEP with particle-dependent hopping probabilities on a ring},
author = {V. S. Poghosyan and V. B. Priezzhev},
journal= {arXiv preprint arXiv:cond-mat/0607751},
year = {2008}
}
Comments
4 pages, RevTeX4, 2 EPS figures