论文标题

当扩散面对漂移时:双向行人流的排除过程的后果

When diffusion faces drift: consequences of exclusion processes for bi--directional pedestrian flows

论文作者

Cirillo, Emilio N. M., Colangeli, Matteo, Muntean, Adrian, Thieu, T. K. Thoa

论文摘要

基于粒子的随机模型是描述在拥挤的封闭环境中大量行人的集体运动的有用工具。使用基于简单的排除过程的描述,两个粒子种群模仿了在建筑环境中行走的行人,从两个相对的侧面进入一个房间。一个人口是被动的 - 不知道当地环境;属于该组的粒子进行对称随机行走。其他人群具有有关局部几何形状的信息,因为一旦粒子进入可见性区,漂移就会激活它们。他们的自我推广使他们驶向出口。第二种类型的物种在这里被称为活跃。假定的拥挤对应于近距离的场景。我们在本文中提出的主要问题是:我们可以诱导活性粒子动力学的修改以改善被动颗粒的传出电流吗?为了解决这个问题,我们在选定的参数范围内计算两个人群的职业数字概况和电流。除了观察到更古典的速度(较低的效果)外,新功能看起来像电流的非单调性,自我诱导的相位分离,以及在活性群体内的相位分离,以及用于大型drift的活性颗粒的被动颗粒加速。

Stochastic particle--based models are useful tools for describing the collective movement of large crowds of pedestrians in crowded confined environments. Using descriptions based on the simple exclusion process, two populations of particles, mimicking pedestrians walking in a built environment, enter a room from two opposite sides. One population is passive -- being unaware of the local environment; particles belonging to this group perform a symmetric random walk. The other population has information on the local geometry in the sense that as soon as particles enter a visibility zone, a drift activates them. Their self-propulsion leads them towards the exit. This second type of species is referred here as active. The assumed crowdedness corresponds to a near--jammed scenario. The main question we ask in this paper is: Can we induce modifications of the dynamics of the active particles to improve the outgoing current of the passive particles? To address this question, we compute occupation number profiles and currents for both populations in selected parameter ranges. Besides observing the more classical faster--is--slower effect, new features appear as prominent like the non--monotonicity of currents, self--induced phase separation within the active population, as well as acceleration of passive particles for large--drift regimes of active particles.

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