Dynamical analysis of the exclusive queueing process
Dynamical analysis of the exclusive queueing process
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DOI：
10.1103/physreve.83.051128
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发表时间：
2011-05-25
影响因子：
2.4
通讯作者：
Schadschneider, Andreas
中科院分区：
文献类型：
--
作者：
Arita, Chikashi;Schadschneider, Andreas
最近，我们得到了一个具有变系统长度的平行更新完全非对称简单排它过程的定态，它可以看作是一个具有排它体积效应的排它过程（排它排它过程）[C. Arita和D. Yanagisawa，J. Stat. 141，829（2010）]。在本文中，我们分析了粒子的数量< N-t >和最后一个粒子的位置（系统长度）< L-t >的动力学性质，使用的分析方法（生成函数技术），以及基于畴壁动力学和Monte Carlo模拟的唯象描述。该系统表现出两个相对应的线性收敛或发散的和< N-t >< L-t >。这些阶段都可以进一步细分为高密度和最大电流子阶段。的畴壁理论的预测被发现是在非常好的协议定量从蒙特卡罗模拟结果在收敛阶段。另一方面，在发散阶段，只有对的预测< N-t >与模拟一致。
Recently, the stationary state of a parallel-update totally asymmetric simple exclusion process with varying system length, which can be regarded as a queueing process with excluded-volume effect (exclusive queueing process), was obtained [C. Arita and D. Yanagisawa, J. Stat. Phys. 141, 829 (2010)]. In this paper, we analyze the dynamical properties of the number of particles < N-t > and the position of the last particle (the system length) < L-t >, using an analytical method (generating function technique) as well as a phenomenological description based on domain-wall dynamics and Monte Carlo simulations. The system exhibits two phases corresponding to linear convergence or divergence of < N-t > and < L-t >. These phases can both further be subdivided into high-density and maximal-current subphases. The predictions of the domain-wall theory are found to be in very good agreement quantitively with results from Monte Carlo simulations in the convergent phase. On the other hand, in the divergent phase, only the prediction for < N-t > agrees with simulations.