非均质多车道非对称简单排除过程的精确解
Exact solution of a heterogeneous multi-lane asymmetric simple exclusion process
摘要：
证明了环面上具有异质换道率的多车道完全非对称简单排除过程（TASEP）的精确解。该解以分解形式给出，即由于换道过渡中的细致平衡条件，使得每一车道和换道过渡中的TASEP是可分离的。利用鞍点法，在热力学极限下计算了粒子流的简单形式。值得注意的是，电流仅取决于一组换道参数，而不取决于车道的配置。
英文摘要：
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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