https://doi.org/10.1140/epjb/e2008-00275-9
Modeling collective motion: variations on the Vicsek model
1
CEA – Service de Physique de l'État Condensé,
Centre d'Études de Saclay, 91191 Gif-sur-Yvette, France
2
Institut des Systèmes Complexes Paris Île-de-France, 57-59 rue Lhomond,
75005 Paris, France
3
Matière et Systèmes Complexes (MSC),
UMR 7057, CNRS & Université Paris-Diderot, France
Corresponding author: a hugues.chate@cea.fr
Received:
9
February
2008
Revised:
23
May
2008
Published online:
11
July
2008
We argue that the model introduced by Vicsek et al. in which self-propelled particles align locally with neighbors is, because of its simplicity, central to most studies of collective motion or “active” matter. After reviewing briefly its main properties, we show how it can be expanded into three main directions: changing the symmetry of the particles and/or of their interactions, adding local cohesion, and taking into account the fluid in which the particles move.
PACS: 64.70.qj – Dynamics and criticality / 87.18.Nq – Large-scale biological processes and integrative biophysics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008