Order-disorder transition in repulsive self-propelled particle systems

Takayuki Hiraoka, Takashi Shimada, Nobuyasu Ito

Published 2016-02-25Version 1

We study the collective dynamics of repulsive self-propelled particles. The particles are governed by coupled equations of motion that include polar self-propulsion, damping of velocity and of polarity, repulsive particle-particle interaction, and deterministic dynamics. From particle dynamics simulation, we present that our model exhibit collective motion and first-order transition from isotropic, disordered state to polarized state. In order to obtain a simple understanding of the mechanism underlying the collective behavior, we analyze binary particle scattering process. We show that this approach is valid for predicting the phase boundary at dilute limit, as well as for finite densities.