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Integral Formulas of ASEP and q-TAZRP on a Ring
Communications in Mathematical Physics ( IF 2.2 ) Pub Date : 2020-08-16 , DOI: 10.1007/s00220-020-03837-7
Zhipeng Liu , Axel Saenz , Dong Wang

In this paper, we obtain the transition probability formulas for the Asymmetric Simple Exclusion Process (ASEP) and the $q$-deformed Totally Asymmetric Zero Range Process ($q$-TAZRP) on the ring by applying the coordinate Bethe ansatz. We also compute the distribution function for a tagged particle with general initial condition.

中文翻译:

环上ASEP和q-TAZRP的积分公式

在本文中,我们通过应用坐标 Bethe ansatz 获得了环上的非对称简单排除过程(ASEP)和 $q$-变形的完全非对称零范围过程($q$-TAZRP)的转移概率公式。我们还计算具有一般初始条件的标记粒子的分布函数。
更新日期:2020-08-16
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