论文标题

在主动粒子模型中的泳道形成,并具有行人交通的手性

Lane formation in an active particle model with chirality for pedestrian traffic

论文作者

Bodrova, Anna S., Najim, Fatema Al, Brilliantov, N. V.

论文摘要

我们在行人动力学的背景下分析具有手性力的活性颗粒系统中的模式形成。为了描述颗粒间相互作用,我们使用标准的社会力量模型,并用一种​​反映手性的新力量补充它。我们对沿着走廊相反的方向移动的两个行人流进行数值模拟。我们观察到两个动态相变,这些转变是针对手性力的颗粒密度和强度的不同数量密度的:一种从无序运动到多车道运动,另一个从多车道到两车道运动。我们开发了一种定性理论,该理论描述了相图手性密度中这些相变的分界线。我们的分析结果与仿真数据相当吻合。提供了与先前报道的实验数据的比较。我们的发现可能会在城市和运输规划问题中找到申请。

We analyze the pattern formation in systems of active particles with chiral forces in the context of pedestrian dynamics. To describe the interparticle interactions, we use the standard social force model and supplement it with a new type of force that reflects chirality. We perform numerical simulations of two pedestrian flows moving in opposite directions along a corridor. We observe two dynamic phase transitions that occur for varying number densities of particles and strengths of the chirality force: one from disordered motion to multi-lane motion and another from multi-lane to two-lane motion. We develop a qualitative theory that describes the demarcation lines for these phase transitions in the phase diagram chirality-density. The results of our analysis agree fairly well with the simulation data. A comparison with previously reported experimental data has been provided. Our findings may find applications in urban and transportation-planning problems.

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