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arXiv · 1510.04009

Phase Transitions in a kinetic flocking model of Cucker-Smale type

Alethea B. T. Barbaro·José A. Cañizo·José A. Carrillo·Pierre Degond
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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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Alethea B. T. Barbaro, José A. Cañizo, José A. Carrillo, Pierre Degond. 2015-10-14. Phase Transitions in a kinetic flocking model of Cucker-Smale type. https://doi.org/10.1137/15m1043637

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