Active Brownian Motion - Self-format ion in Systems of Self-propelled Particles

摘要

We consider the self-formation of structures in swarms of self-propelled particles. The self-propelling is modelled by an expression for negative friction proposed by Schienbein and Gruler. We model first linear forces attracting to a fixed center. Then global coupling is introduced by linear forces attracting to the center of mass and to the mean velocity of the swarm. Solutions for the stationary distribution of swarms are given which represent: (ⅰ) synchronized translation of the swarm with small fluctuations around its center of mass and, (ⅱ) synchronized rotations around the center of mass which is at rest or slowly moving.