Diagonal patterns and chevron effect in intersecting traffic flows
Diagonal patterns and chevron effect in intersecting traffic flows
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DOI：
10.1209/0295-5075/102/20002
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发表时间：
2013-04-01
期刊：
影响因子：
1.8
通讯作者：
Hilhorst, H. J.
中科院分区：
文献类型：
--
作者：
Cividini, J.;Appert-Rolland, C.;Hilhorst, H. J.
我们研究了两个垂直交叉的行人流的格子模型，该模型由两种类型的硬核粒子表示，即东向(“E”)和北向(“N”)。每一次流动都发生在一个宽度为M的带状区域上，因此交叉点是一个M×M正方形的格子。在实验和模拟中，在这个正方形上自发地形成了交替的E和N粒子的对角图案。我们表明，这种图样的形成可以用相应平均场方程的线性不稳定性来理解。一项精细的研究表明，这种图案实际上是由人字形而不是直线组成的。我们将这种效应解释为两类粒子之间相互作用所维持的非线性模式的存在的结果。版权所有(C)Epla，2013
We study a lattice model of two perpendicular intersecting flows of pedestrians represented by hard-core particles of two types, eastbound ("E") and northbound ("N"). Each flow takes place on a strip of width M so that the intersection is an M x M square lattice. In experiment and simulation there occurs on this square spontaneous formation of a diagonal pattern of alternating E and N particles. We show that this pattern formation may be understood in terms of a linear instability of the corresponding mean-field equations. A refined investigation reveals that the pattern actually consists of chevrons rather than straight diagonals. We explain this effect as the consequence of the existence of a nonlinear mode sustained by the interaction between the two types of particles. Copyright (C) EPLA, 2013