Title
Phase Transitions in a Kinetic Flocking Model of Cucker-Smale Type.
Abstract
We consider a collective behavior model in which individuals try toimitate each others' velocity and have a preferred speed. We showthat 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 thediffusive Vicsek model. We also carry out numerical simulations ofthe system and give further details on the phase transition.
Year
DOI
Venue
2016
10.1137/15M1043637
Multiscale Modeling & Simulation
Keywords
Field
DocType
flocking model,phase transition,Cucker-Smale model,Vicsek model
Statistical physics,Collective behavior,Flocking (texture),Phase transition,Mathematical analysis,Phase change,Artificial intelligence,Mathematics,Kinetic energy
Journal
Volume
Issue
ISSN
14
3
1540-3459
Citations 
PageRank 
References 
6
0.61
3
Authors
4
Name
Order
Citations
PageRank
Alethea Barbaro1133.66
José A. Cañizo2164.01
José A. Carrillo37117.02
Pierre Degond425143.75