Phase Transitions in a kinetic flocking model of Cucker-Smale type
Alethea B. T. Barbaro, Jos\'e A. Ca\~nizo, Jos\'e A. Carrillo and, Pierre Degond
TL;DR
This paper investigates a kinetic flocking model of Cucker-Smale type, revealing a phase transition from disordered to ordered states as diffusion decreases, supported by numerical simulations.
Contribution
It demonstrates a phase transition in a Cucker-Smale type model and connects it to phenomena observed in the Vicsek model, with detailed numerical analysis.
Findings
Phase transition from disordered to ordered states as diffusion decreases
Numerical simulations confirm the phase change
Relation to phenomena in the diffusive Vicsek model
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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