Vicsek model
The Vicsek model is a concept used to model collective motion.[1][2] The concept was introduced in 1995 by Tamas Vicsek et al.[3] as a special case of the Boids model introduced in 1986 by Reynolds.[4] Collective motion is a phenomenon studied by active matter physicists, and the Vicsek model aims at modeling it in a minimal way. Its popularity is due to its simplicity and its universality potential. It takes into account only two ingredients: self-propulsion and alignment. In his model Vicsek considers point-like particles that move in discrete time at constant speed and that interact by aligning their velocity with neighbours at unit distance in presence of noise. Despite its apparent simplicity, it exhibits a rich phenomenology.
See also
References
- ^ Degond, P.; Motsch, S. (2007). "Continuum limit of self-driven particles with orientation interaction". SIAM Journal on Applied Math. arXiv:0710.0293. Bibcode:2007arXiv0710.0293D.
- ^ Setekera, R. (2009). Numerical simulation of herding and flocking models (PDF) (Masters thesis). Supervisor A. Klar. Technische Universiteit Eindhoven.
- ^ Vicsek, T.; Czirok, A.; Ben-Jacob, E.; Cohen, I.; Shochet, O. (1995). "Novel type of phase transition in a system of self-driven particles". Physical Review Letters. 75 (6): 1226–1229. arXiv:cond-mat/0611743. Bibcode:1995PhRvL..75.1226V. doi:10.1103/PhysRevLett.75.1226. PMID 10060237.
- ^ Reynolds, C.W. (1987). "Flocks, herds and schools: A distributed behavioral model". Computer Graphics. 21 (4): 25–34. doi:10.1145/37401.37406. ISBN 0897912276. CiteSeerx: 10.1.1.103.7187.
| Biological swarming |  | |
|---|---|---|
| Animal migration | ||
| Swarm algorithms | ||
| Collective motion | ||
| Swarm robotics | ||
| Related topics | ||