Phase Transitions in a kinetic flocking model of Cucker-Smale type
arXiv:1510.04009 · doi:10.1137/15M1043637
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.
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