Exact solution of a heterogeneous multi-lane asymmetric simple exclusion process
Physics and Society
2015-06-23 v1 Biological Physics
Abstract
We prove an exact solution of a multi-lane totally asymmetric simple exclusion process (TASEP) with heterogeneous lane-changing rates on a torus. The solution is given by a factorized form; that is, the TASEP in each lane and lane-changing transition can be separable because of the detailed balance conditions in lane-changing transition. Using the saddle point method, the current of particles is calculated in a simple form in a thermodynamic limit. It is notable that the current depends only on a set of lane-changing parameters, not on the configuration of lanes.
Keywords
Cite
@article{arxiv.1502.04804,
title = {Exact solution of a heterogeneous multi-lane asymmetric simple exclusion process},
author = {Takahiro Ezaki and Katsuhiro Nishinari},
journal= {arXiv preprint arXiv:1502.04804},
year = {2015}
}