Fluctuation properties of the TASEP with periodic initial configuration
Fluctuation properties of the TASEP with periodic initial configuration
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DOI：
10.1007/s10955-007-9383-0
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发表时间：
2007-12-01
影响因子：
1.6
通讯作者：
Sasamoto, Tomohiro
中科院分区：
文献类型：
--
作者：
Borodin, Alexei;Ferrari, Patrik L.;Sasamoto, Tomohiro
研究了连续时间完全非对称简单排斥过程（TASEP）的粒子位置联合分布。它们被表示为Fredholm行列式，其核定义了一个有符号的行列式点过程。然后，我们考虑某些周期性的初始条件，并确定在缩放限制的内核。这个结果已经在我们中的一个人的一封信中首次宣布（Sasamoto in J. Phys. A 38：L549 - L556，2005），在这里我们提供了一个自包含的推导。连接到最后一个通道定向渗流和随机矩阵也进行了简要讨论。
We consider the joint distributions of particle positions for the continuous time totally asymmetric simple exclusion process (TASEP). They are expressed as Fredholm determinants with a kernel defining a signed determinantal point process. We then consider certain periodic initial conditions and determine the kernel in the scaling limit. This result has been announced first in a letter by one of us (Sasamoto in J. Phys. A 38:L549 - L556, 2005) and here we provide a self-contained derivation. Connections to last passage directed percolation and random matrices are also briefly discussed.