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arXiv · 1502.04804

Exact solution of a heterogeneous multi-lane asymmetric simple exclusion process

Takahiro Ezaki·Katsuhiro Nishinari
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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.

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Takahiro Ezaki, Katsuhiro Nishinari. 2015-02-17. Exact solution of a heterogeneous multi-lane asymmetric simple exclusion process. https://doi.org/10.1103/physreve.84.061141

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