Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics



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BibTex format

author = {Barbaro, ABT and Canizo, JA and Carrillo, de la plata J and Degond, PAA},
doi = {10.1137/15M1043637},
journal = {Multiscale Modeling & Simulation},
pages = {1063--1088},
title = {Phase Transitions in a Kinetic Flocking Model of Cucker-Smale Type},
url = {},
volume = {14},
year = {2016}

RIS format (EndNote, RefMan)

AB - 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.
AU - Barbaro,ABT
AU - Canizo,JA
AU - Carrillo,de la plata J
AU - Degond,PAA
DO - 10.1137/15M1043637
EP - 1088
PY - 2016///
SN - 1540-3467
SP - 1063
TI - Phase Transitions in a Kinetic Flocking Model of Cucker-Smale Type
T2 - Multiscale Modeling & Simulation
UR -
UR -
VL - 14
ER -