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

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

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...

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Veröffentlicht in:Multiscale modeling & simulation 2016-01, Vol.14 (3), p.1063-1088
Hauptverfasser: Barbaro, Alethea B. T., Can͂izo, José A., Carrillo, José A., Degond, Pierre
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical Systems
Mathematics
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Zusammenfassung: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.
ISSN:1540-3459
1540-3467
DOI:10.1137/15M1043637