Multipoint distribution of periodic TASEP
Multipoint distribution of periodic TASEP
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DOI：
10.1090/jams/915
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发表时间：
2017-10
影响因子：
3.9
通讯作者：
J. Baik;Zhipeng Liu
中科院分区：
文献类型：
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作者：
J. Baik;Zhipeng Liu
预计KPZ类模式的高度波动将收敛于一个通用过程。已知在等时间的空间过程收敛于艾里过程或其变化。然而，时间过程，或者更一般地说，二维时空波动场，还不太清楚。我们考虑了周期TASEP（完全不对称简单不相容过程）的这个问题。对于一个特定的初始条件，我们用包含Fredholm行列式的多重积分显式地计算了多时间和多位置分布。然后我们在所谓的松弛时间尺度中评估大时间极限。
The height fluctuations of the models in the KPZ class are expected to converge to a universal process. The spatial process at equal time is known to converge to the Airy process or its variations. However, the temporal process, or more generally the two-dimensional space-time fluctuation field, is less well understood. We consider this question for the periodic TASEP (totally asymmetric simple exclusion process). For a particular initial condition, we evaluate the multitime and multilocation distribution explicitly in terms of a multiple integral involving a Fredholm determinant. We then evaluate the large-time limit in the so-called relaxation time scale.