Fluctuations of TASEP on a Ring in Relaxation Time Scale
Fluctuations of TASEP on a Ring in Relaxation Time Scale
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DOI：
10.1002/cpa.21702
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发表时间：
2016-05
影响因子：
3
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
研究了具有平面阶跃初始条件环上的完全不对称简单不相容过程。我们假设环的大小和粒子的数量成比例地趋于无穷大，并评估了标记粒子和电流的波动。当时间与环尺寸的3/2次方成正比时，发生从KPZ动力学到平衡动力学的交叉。我们计算这个松弛时间尺度的极限分布。该分析是基于由坐标Bethe ansatz方法得到的有限时间单点分布的显式公式。©2017 Wiley期刊公司
We consider the totally asymmetric simple exclusion process on a ring with flat and step initial conditions. We assume that the size of the ring and the number of particles tend to infinity proportionally and evaluate the fluctuations of tagged particles and currents. The crossover from the KPZ dynamics to the equilibrium dynamics occurs when the time is proportional to the 3/2 power of the ring size. We compute the limiting distributions in this relaxation time scale. The analysis is based on an explicit formula of the finite‐time one‐point distribution obtained from the coordinate Bethe ansatz method. © 2017 Wiley Periodicals, Inc.