互斥自导航粒子的涌现同步与群聚
Emergent Synchronization and Flocking in Purely Repulsive Self-Navigating Particles
摘要：
受动物和机器人群体的启发，我们研究了大量活性粒子的集体动力学，每个粒子都试图到达自己随机放置的目标，同时避免相互碰撞。我们研究的粒子是排斥归巢的主动布朗粒子（HABP）-自推进粒子，其取向在$2d$连续空间中以有限的速率向吸收目标弛豫。对于广泛的参数范围内，这些粒子形成同步的系统范围内的手性群集，尽管没有明确的对齐相互作用。我们表明，这种戏剧性的行为获得不同的系统大小和密度，它是强大的，对增加噪声，多分散性，和边界墙，它可以表现出动态拓扑缺陷。我们开发了一个类比的非晶格，铁磁XY模型，这使我们能够解释不同的阶段，以及拓扑缺陷。
英文摘要：
Inspired by groups of animals and robots, we study the collective dynamics of large numbers of active particles, each one trying to get to its own randomly placed target, while avoiding collisions with each other. The particles we study are repulsive homing active Brownian particles (HABPs) - self-propelled particles whose orientation relaxes at a finite rate towards an absorbing target in $2d$ continuous space. For a wide range of parameters, these particles form synchronised system-wide chiral flocks, in spite of the absence of explicit alignment interactions. We show that this dramatic behavior obtains for different system sizes and density, that it is robust against the addition of noise, polydispersity, and bounding walls, and that it can exhibit dynamical topological defects. We develop an analogy to an off-lattice, ferromagnetic XY model, which allows us to interpret the different phases, as well as the topological defects.
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