期刊
MULTISCALE MODELING & SIMULATION
卷 14, 期 3, 页码 1063-1088出版社
SIAM PUBLICATIONS
DOI: 10.1137/15M1043637
关键词
flocking model; phase transition; Cucker-Smale model; Vicsek model
资金
- NSF [DMS-1319462, RNMS11-07444]
- Spanish project [MTM2014-52056-P]
- Marie-Curie CIG grant KineticCF
- Royal Society by a Wolfson Research Merit Award
- EPSRC and from the Royal Society [EP/M006883/1]
- Wolfson Foundation through a Royal Society Wolfson Research Merit Award
- Engineering and Physical Sciences Research Council [EP/M006883/1, EP/I019111/1, EP/K008404/1] Funding Source: researchfish
- EPSRC [EP/I019111/1, EP/M006883/1, EP/K008404/1] Funding Source: UKRI
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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