论文标题
具有情感传染的2D人群动态的动力学理论方法
A kinetic theory approach for 2D crowd dynamics with emotional contagion
论文作者
论文摘要
在本文中，我们为人类人群的动态提出了一种计算建模方法，在该方法中，情感的传播（特别是恐惧）会影响行人的行为。我们的方法基于活性颗粒动力学理论的方法。该模型使我们能够根据恐惧水平来加重两种竞争行为：寻找较少的拥挤区域以及不自觉地跟随溪流的趋势（放牧）。每个行人的恐惧水平都会影响她的步行速度，并受到邻居的恐惧水平的影响。从数值上讲，我们使用操作员分裂方案通过情感传染来解决行人模型。我们模拟了涉及两组相互作用的行人的疏散场景，以评估域几何形状和恐惧传播的细节如何影响疏散动力学。此外，我们重现了一项涉及苦恼的实验研究的疏散动力学。
In this paper, we present a computational modeling approach for the dynamics of human crowds, where the spreading of an emotion (specifically fear) has an influence on the pedestrians' behavior. Our approach is based on the methods of the kinetic theory of active particles. The model allows us to weight between two competing behaviors depending on fear level: the search for less congested areas and the tendency to follow the stream unconsciously (herding). The fear level of each pedestrian influences her walking speed and is influenced by the fear levels of her neighbors. Numerically, we solve our pedestrian model with emotional contagion using an operator splitting scheme. We simulate evacuation scenarios involving two groups of interacting pedestrians to assess how domain geometry and the details of fear propagation impact evacuation dynamics. Further, we reproduce the evacuation dynamics of an experimental study involving distressed ants.
