交通事故的平均场理论。
Mean-field theory for car accidents.
作者信息
Huang D W, Tseng W C
机构信息
Department of Physics, Chung Yuan Christian University, Chung-li, Taiwan.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Nov;64(5 Pt 2):057106. doi: 10.1103/PhysRevE.64.057106. Epub 2001 Oct 26.
PMID:11736147
Abstract
We study analytically the occurrence of car accidents in the Nagel-Schreckenberg traffic model. We obtain exact results for the occurrence of car accidents P(ac) as a function of the car density rho and the degree of stochastic braking p(1) in the case of speed limit v(max)=1. Various quantities are calculated analytically. The nontrivial limit p(1)-->0 is discussed.
摘要
我们对纳格尔 - 施雷肯贝格交通模型中汽车事故的发生情况进行了分析研究。在速度限制(v_{max}=1)的情况下，我们得到了汽车事故发生率(P(ac))作为汽车密度(\rho)和随机制动程度(p(1))的函数的精确结果。通过分析计算了各种量。讨论了非平凡极限(p(1)\to0)的情况。
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