Phase transitions in a kinetic flocking model of cucker smale type

Barbaro, Alethea; Cañizo, José A.; Carrillo, José A.; Degond, Pierre

Phase transitions in a kinetic flocking model of cucker smale type

Journal article (2016)

Authors

Alethea Barbaro Case Western Reserve University

José A. Cañizo Universidad de Granada, Facultad de Ciencias

José A. Carrillo Imperial College London

Pierre Degond Imperial College London

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External organisation

Phase transition Cucker-Smale model Flocking model Vicsek model

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Published Date

01-01-2016

Language

English

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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.