A multi-lane TASEP model for crossing pedestrian traffic flows
A multi-lane TASEP model for crossing pedestrian traffic flows
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DOI：
10.1088/1742-5468/2012/06/p06009
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发表时间：
2012-06-01
影响因子：
2.4
通讯作者：
Appert-Rolland, C.
中科院分区：
文献类型：
--
作者：
Hilhorst, H. J.;Appert-Rolland, C.
宽度为M的单行道被建模为一组M个平行的一维TASEP。两条垂直街道的交叉点是一个大小为M × M的正方形格子。我们考虑硬核粒子以注入概率α进入每条街道。在交叉广场上的硬核排斥创建了一个多体问题的强相互作用TASEPs和我们研究的集体动力学产生的。我们构建了一个有效的算法，允许模拟的街道的无限长度，这有明确的关键堵塞点。该算法采用“冻结洗牌更新”，其中随机到达的粒子具有完全确定性的体动力学。对M = 24的街道宽度的高精度模拟表明，当α增加时，在M个临界值α（M）（M）<α（M）（M-1）<... < alpha（M）（1）。随着M的增长，主转变点α（M）（M）在所研究的M值范围内大致以类似于（log M）（-1）的方式减小。我们表明，一个合适的序参量提供了一个反射系数与粒子电流在每个TASEP。
A one-way street of width M is modeled as a set of M parallel one-dimensional TASEPs. The intersection of two perpendicular streets is a square lattice of size M x M. We consider hard core particles entering each street with an injection probability alpha. On the intersection square the hard core exclusion creates a many-body problem of strongly interacting TASEPs and we study the collective dynamics that arises. We construct an efficient algorithm that allows for the simulation of streets of infinite length, which have sharply defined critical jamming points. The algorithm employs the 'frozen shuffle update', in which the randomly arriving particles have fully deterministic bulk dynamics. High precision simulations for street widths up to M = 24 show that when a increases, there occur jamming transitions at a sequence of M critical values alpha(M)(M) < alpha(M)(M-1) < ... < alpha(M)(1). As M grows, the principal transition point alpha(M)(M) decreases roughly as similar to(log M)(-1) in the range of M values studied. We show that a suitable order parameter is provided by a reflection coefficient associated with the particle current in each TASEP.