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arXiv 1210.4530physics.soc-phmath-phmath.MPnlin.AO
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感知各向异性对描述走廊行人流粒子系统的影响

The effect of perception anisotropy on particle systems describing pedestrian flows in corridors

Lennart Gulikers, Joep Evers, Adrian Muntean, Alexey Lyulin

摘要:

我们考虑一个微观模型(一个系统的自推进粒子)来研究一大群行人在走廊里行走的行为。我们的兴趣点是各向异性相互作用对人群的全球行为的影响。我们头脑中的各向异性反映了这样一个事实,即人们在各个方向上都不能同样好地感知(即看到,听到,感觉或闻到)他们的环境。在我们的模型中的个人的动态遵循从一个系统的牛顿式方程的过阻尼限制。瞬时速度是以这样一种方式建模的,即它考虑了一个人感知另一个人的角度。我们调查的影响,这种感知各向异性的模拟手段,非常分子动力学的精神。我们定义了一些特征量化器(包括极化指数和森田指数),作为措施,例如组织和集群,我们使用这些指数调查的影响,各向异性的全球行为的人群。本文的目标是研究这种模型的潜力;对模拟数据进行广泛的统计分析,或再现任何特定的现实生活中的情况都超出了其范围。

英文摘要:

We consider a microscopic model (a system of self-propelled particles) to study the behaviour of a large group of pedestrians walking in a corridor. Our point of interest is the effect of anisotropic interactions on the global behaviour of the crowd. The anisotropy we have in mind reflects the fact that people do not perceive (i.e. see, hear, feel or smell) their environment equally well in all directions. The dynamics of the individuals in our model follow from a system of Newton-like equations in the overdamped limit. The instantaneous velocity is modelled in such a way that it accounts for the angle under which an individual perceives another individual. We investigate the effects of this perception anisotropy by means of simulations, very much in the spirit of molecular dynamics. We define a number of characteristic quantifiers (including the polarization index and Morisita index) that serve as measures for e.g. organization and clustering, and we use these indices to investigate the influence of anisotropy on the global behaviour of the crowd. The goal of the paper is to investigate the potentiality of this model; extensive statistical analysis of simulation data, or reproducing any specific real-life situation are beyond its scope.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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