Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates
Statistical Mechanics
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Using the Bethe ansatz we obtain in a determinant form the exact solution of the master equation for the conditional probabilities of the totally asymmetric exclusion process with particle-dependent hopping rates on Z. From this we derive a determinant expression for the time-integrated current for a step-function initial state.
Keywords
Cite
@article{arxiv.cond-mat/0506525,
title = {Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates},
author = {A. Rákos and G. M. Schütz},
journal= {arXiv preprint arXiv:cond-mat/0506525},
year = {2007}
}
Comments
14 pages