Phase Transitions in a Kinetic Flocking Model of Cucker--Smale Type

Abstract

We consider a collective behavior model in which individuals try to imitate each others' velocity and have a preferred speed. We show that a phase change phenomenon takes place as diffusion decreases, bringing the system from a “disordered” to an “ordered” state. This effect is related to recently noticed phenomena for the diffusive Vicsek model. We also carry out numerical simulations of the system and give further details on the phase transition.

Identifiers

DOI

10.1137/15m1043637

Citations and references