Onset of collective and cohesive motion
Statistical Mechanics
2013-11-15 v1
Abstract
We study the onset of collective motion, with and without cohesion, of groups of noisy self-propelled particles interacting locally. We find that this phase transition, in two space dimensions, is always discontinuous, including for the minimal model of Vicsek et al. [Phys. Rev. Lett. {\bf 75},1226 (1995)] for which a non-trivial critical point was previously advocated. We also show that cohesion is always lost near onset, as a result of the interplay of density, velocity, and shape fluctuations.
Cite
@article{arxiv.cond-mat/0401208,
title = {Onset of collective and cohesive motion},
author = {G Gregoire and H Chate},
journal= {arXiv preprint arXiv:cond-mat/0401208},
year = {2013}
}
Comments
accepted for publication in Phys. Rev. Lett