Mathematical model used to describe active matter.
The Vicsek model is a mathematical model used to describe active matter. One motivation of the study of active matter by physicists is the rich phenomenology associated to this field. Collective motion and swarming are among the most studied phenomena. Within the huge number of models that have been developed to catch such behavior from a microscopic description, the most famous is the model introduced by Tamás Vicsek et al. in 1995.[1]
Physicists have a great interest in this model as it is minimal and describes a kind of universality. It consists in point-like self-propelled particles that evolve at constant speed and align their velocity with their neighbours' one in presence of noise. Such a model shows collective motion at high density of particles or low noise on the alignment.
^Vicsek, Tamás; Czirók, András; Ben-Jacob, Eshel; Cohen, Inon; Shochet, Ofer (1995-08-07). "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. S2CID 15918052.
The Vicsekmodel is a mathematical model used to describe active matter. One motivation of the study of active matter by physicists is the rich phenomenology...
the Vicsekmodel, was introduced in 1995 by Vicsek et al. as a special case of the boids model introduced in 1986 by Reynolds. A swarm is modelled in SPP...
phenomena. One of the most famous models that describes such behavior is the Vicsekmodel introduced by Tamás Vicsek et al. in 1995. Source: Just like...
material classification in soft matter: the most extensively studied model, the Vicsekmodel, dates from 1995. Research in active matter combines analytical...
Magnetohydrodynamics Maxwell–Boltzmann distribution Mixmaster universe Thermodynamics Vicsekmodel Vlasov equation Maxwell, J. C. (1867). "On the Dynamical Theory of Gases"...
flow model VISSIM in different real-world situations. Transportation Research Board, 2001. PDF D. Helbing, I.J. Farkas, P. Molnar, and T. Vicsek, Simulation...
proposals to augment them by using active liquid crystals. Active matter Vicsekmodel Navier–Stokes equations Soft matter Morozov, Alexander (2017-03-24)....
researchers from Iceland recount their application of an interacting particle model to the capelin stock around Iceland, successfully predicting the spawning...
introduced in 1995 by Tamás Vicsek et al. as a special case of the boids model introduced in 1986 by Reynolds. An SPP swarm is modelled by a collection of particles...
cited are: Family F, Vicsek T, Scaling of the Active Zone in the Eden Process on Percolation Networks and the Ballistic Deposition Model Journal of Physics...
1103/PhysRevE.65.066122. PMID 12188798. Barabási, A. L. S.; Ravasz, E. B.; Vicsek, T. S. (2001). "Deterministic scale-free networks". Physica A: Statistical...
also jump towards the center of the square, the chaos game generates the Vicsek fractal: When the jump is 2/3 and the point can also jump towards the midpoints...
self-propelled particle model introduced by Vicsek et al. in 1995 Many current models use variations on these rules. For instance, many models implement these...
(1994). Space-Filling Curves. Springer-Verlag. p. 156. ISBN 0-387-94265-3. Vicsek, Tamás (1992). Fractal growth phenomena. World Scientific. p. 10. ISBN 978-981-02-0668-0...
opportunistic forwarding algorithms" (PDF). Infocom. G. Palla; A. Barabasi; T. Vicsek; Y. Chi, S. Zhu, X. Song, J. Tatemura, and B.L. Tseng (2007). "Quantifying...
Gábor Hanák Kinga Kollár Viktor Póka Balázs Kiss Mihály Tóth 8. Annamária Vicsek Péter Heil Máté Urfi Béla Adorján Patrik Orosz Zakota Tamás Dorottya Szabolcs...
Size Cambridge University Press. ISBN 9780521288866 Bhattacharya K and Vicsek T (2010) "Collective decision making in cohesive flocks" Li YX; Lukeman...
Dynamic scaling (sometimes known as Family–Vicsek scaling) is a litmus test that shows whether an evolving system exhibits self-similarity. In general...
model proposed earlier by Helbing et al. based on the fact that walkers tend to follow the general direction of motion of their neighbors ("Vicsek's rule")...
173–177 [2] Dynamics of Fractal Surfaces by Fereydoon Family and Tamas Vicsek 1991 ISBN 981-02-0720-4 page 45 [3] Rhonda Roland Shearer "Rethinking Images...
S2CID 14091388. Vásárhelyi, G.; C. Virágh; G. Somorjai; T. Nepusz; A.E. Eiben; T. Vicsek (2018). "Optimized flocking of autonomous drones in confined environments"...
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