Effect of Topology and Geometric Structure on Collective Motion in the Vicsek Model
Effect of Topology and Geometric Structure on Collective Motion in the Vicsek Model
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DOI：
10.3389/fams.2022.829005
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发表时间：
2022-03
影响因子：
10.4
通讯作者：
J. McClure;N. Abaid
中科院分区：
文献类型：
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作者：
J. McClure;N. Abaid
在这项工作中，我们探讨了粒子系统中集体运动的出现是如何受到其域结构的影响的。使用Vicsek模型来产生群集，我们模拟了基于不同障碍物安排的二维系统。障碍物的存在改变了发生集体运动的区域的拓扑结构，这反过来又改变了缩放行为。我们通过考虑Vicsek模型的标度指数和临界噪声阈值以及系统的相关扩散特性来评估这些趋势。我们表明，障碍物通过迫使粒子沿着反映域拓扑的弯曲轨迹穿越系统，倾向于抑制集体运动。我们的结果突出了与更全面地理解几何结构对集体行为的影响的发展相关的关键挑战。
In this work, we explore how the emergence of collective motion in a system of particles is influenced by the structure of their domain. Using the Vicsek model to generate flocking, we simulate two-dimensional systems that are confined based on varying obstacle arrangements. The presence of obstacles alters the topological structure of the domain where collective motion occurs, which, in turn, alters the scaling behavior. We evaluate these trends by considering the scaling exponent and critical noise threshold for the Vicsek model, as well as the associated diffusion properties of the system. We show that obstacles tend to inhibit collective motion by forcing particles to traverse the system based on curved trajectories that reflect the domain topology. Our results highlight key challenges related to the development of a more comprehensive understanding of geometric structure's influence on collective behavior.