论文标题
在纯粹排斥的自我驱散粒子中出现的同步和蜂拥而至
Emergent Synchronization and Flocking in Purely Repulsive Self-Navigating Particles
论文作者
论文摘要
受动物和机器人组的启发，我们研究了大量活跃粒子的集体动力学，每个动态都试图达到自己的随机放置目标，同时避免彼此相撞。我们研究的颗粒是排斥的归居活性布朗颗粒（HABPS） - 自旋转颗粒，其方向以有限的速度放松，以$ 2D $连续空间的有限速度吸收目标。对于广泛的参数，尽管没有明确的比对相互作用，但这些颗粒仍会同步系统范围的手性羊群。我们表明，这种戏剧性的行为是针对不同的系统大小和密度获得的，它可以与噪声，多分散性和边界壁的添加具有鲁棒性，并且可以表现出动态的拓扑缺陷。我们建立了一个类比，类似于非晶格的铁磁XY模型，该模型使我们能够解释不同的阶段以及拓扑缺陷。
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.
