Local versus nonlocal barycentric interactions in 1D agent dynamics

Détails

Ressource 1Télécharger: 2014_MBE_Hongler_Filliger_Gallay.pdf (433.12 [Ko])
Etat: Public
Version: Author's accepted manuscript
ID Serval
serval:BIB_DD83150E240B
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Titre
Local versus nonlocal barycentric interactions in 1D agent dynamics
Périodique
Mathematical Biosciences and Engineering
Auteur⸱e⸱s
Hongler  M.-O., Filliger  R., Gallay  O.
ISSN
1547-1063
Statut éditorial
Publié
Date de publication
04/2014
Peer-reviewed
Oui
Volume
11
Numéro
2
Pages
303-315
Langue
anglais
Résumé
The mean-field dynamics of a collection of stochastic agents evolving under local and nonlocal interactions in one dimension is studied via analytically solvable models. The nonlocal interactions between agents result from (a) a finite extension of the agents interaction range and (b) a barycentric modulation of the interaction strength. Our modeling framework is based on a discrete two-velocity Boltzmann dynamics which can be analytically discussed. Depending on the span and the modulation of the interaction range, we analytically observe a transition from a purely diffusive regime without definite pattern to a flocking evolution represented by a solitary wave traveling with constant velocity.
Mots-clé
Self-organized systems, Interactive stochastic agents, Transport processes, Kinetic theory, Flocking dynamics
Web of science
Open Access
Oui
Création de la notice
10/03/2016 18:59
Dernière modification de la notice
20/08/2019 17:02
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