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arXiv 1702.03081physics.soc-ph
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社会角色对群体行为的影响

The effect of social roles on group behaviour

Francesco Zanlungo, Zeynep Yucel, Takayuki Kanda

摘要:

在最近的一系列论文中,我们提出了一个数学模型的动态一组相互作用的行人。该模型是基于一个非牛顿的潜力,占行人的需要,以保持他们的互动伙伴和他们的步行目标在他们的视野,并保持一个舒适的距离。这两个行为分别占角和径向部分的潜力,从该力提供行人加速度的推导。角项是不对称的,即不遵循动力学第三定律,对群的形成和速度有明显的影响。我们成功地将模型的预测与现实世界行人行为的观察进行了比较。然后,我们研究了群体密度对群体动力学的影响。我们验证了人群密度的平均效应可以通过向群势中添加调和项来建模。模型的预测,其中包括“相变“的组配置,再次确认,至少在所观察到的密度范围内,通过与现实世界的数据进行比较。到目前为止,我们对在给定环境中收集的所有行人数据进行了平均,而没有区分群体组成和社会角色。在这项工作中,我们研究了行人之间的关系(家庭,夫妇,同事,朋友),目的(工作,休闲)和性别如何影响组配置和速度。我们还展示了与非对称相互作用的影响相关的结果,进一步证实了我们模型中基于凝视的角相互作用的非牛顿性质。

英文摘要:

In a recent series of papers, we proposed a mathematical model for the dynamics of a group of interacting pedestrians. The model is based on a non-Newtonian potential, that accounts for the need of pedestrians to keep both their interacting partner and their walking goal in their vision field, and to keep a comfortable distance between them. These two behaviours account respectively for the angular and radial part of the potential from which the force providing the pedestrian acceleration is derived. The angular term is asymmetric, i.e. does not follow the third law of dynamics, with observable effects on group formation and velocity. We successfully compared the predictions of the model with observations of real world pedestrian behaviour. We then studied the effect of crowd density on group dynamics. We verified that the average effect of crowd density may be modelled by adding a harmonic term to the group potential. The model predictions, which include "phase transitions" in the group configuration, are again confirmed, at least in the observed density range, by a comparison with real world data. Until now we had averaged all pedestrian data collected in a given environmental setting without differentiating on group composition and social roles. In this work we study how the group configuration and velocity is affected by inter-pedestrian relation (family, couples, colleagues, friends), purpose (work, leisure) and gender. We also show results related to the effect of asymmetric interactions, that confirm further the non-Newtonian nature of gaze-based angular interaction in our model.

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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