Kinetic theory of vehicular traffic
Kinetic theory of vehicular traffic
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DOI：
10.1119/1.4935895
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发表时间：
2016-02-01
影响因子：
0.9
通讯作者：
Dickman, Ronald
中科院分区：
文献类型：
--
作者：
Iannini, M. L. L.;Dickman, Ronald
我们回顾了由普里高津和赫尔曼提出的交通动力学理论，其中玻尔兹曼方程适用于车辆交通。讨论了动力学方程及其解，分析了一种更适合描述实际交通状况的新的期望速度分布。我们还研究了个体流型和集体流型过渡处的平稳速度分布。在此过渡时，分布分为平滑变化的规则部分，其中车辆的速度为非零，以及奇异部分，对应于停止的车辆。给出了求解静止速度分布的计算方法和飞行器分布的全时空演化过程。(C) 2016美国物理教师协会。
We review the kinetic theory of traffic proposed by Prigogine and Herman in which the Boltzmann equation is adapted to vehicular traffic. The kinetic equation and its solution are discussed, and a novel distribution of desired velocities that is more suitable for describing real traffic conditions is analyzed. We also study the stationary velocity distribution at the transition between individual and collective flow patterns. At this transition, the distribution splits into a smoothly varying regular part, in which vehicles have nonzero velocities, and a singular one, corresponding to stopped vehicles. Computational methods for obtaining the stationary velocity distribution and the full space- time evolution of the vehicular distribution are explained. (C) 2016 American Association of Physics Teachers.