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

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Title: Phase Transitions in a Kinetic Flocking Model of Cucker-Smale Type
Author(s): Barbaro, ABT
Canizo, JA
Carrillo de la plata, J
Degond, PAA
Item Type: Journal Article
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.
Publication Date: 30-Aug-2016
Date of Acceptance: 23-May-2016
URI: http://hdl.handle.net/10044/1/33095
DOI: http://dx.doi.org/10.1137/15M1043637
ISSN: 1540-3467
Publisher: Society for Industrial and Applied Mathematics
Start Page: 1063
End Page: 1088
Journal / Book Title: Multiscale Modeling & Simulation
Volume: 14
Issue: 3
Copyright Statement: © 2016, Society for Industrial and Applied Mathematics. Published by SIAM under the terms of the Creative Commons 4.0 license.
Sponsor/Funder: The Royal Society
The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: WM120001
WM130048
EP/M006883/1
Keywords: Applied Mathematics
Publication Status: Published
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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