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.
['Alethea B. T. Barbaro', 'José A. Cañizo', 'José A. Carrillo', 'Pierre Degond']
Phase Transitions in a kinetic flocking model of Cucker-Smale type