Collective behavior in the system of self propelling particles with nonholonomic constraints
Classical Physics
2007-05-23 v1 General Physics
Abstract
We consider the dynamics of systems of self propelling particles with nonholonomic constraints. A continuum model for a discrete algorithm used in works by T. Vicsek et al. is proposed. For a case of planar geometry the finite flocking behavior is obtained. The circulation of the velocity field is found not to be conserved as a consequence of the nonholomicity. The stability of ordered motion with respect to noise is discussed. An analogy with the kinetics of charges in superconductors is noted.
Keywords
Cite
@article{arxiv.physics/0409046,
title = {Collective behavior in the system of self propelling particles with nonholonomic constraints},
author = {V. L. Kulinskii and V. I. Ratushnaya and A. V. Zvelindovsky and D. Bedeaux},
journal= {arXiv preprint arXiv:physics/0409046},
year = {2007}
}
Comments
5 pages, 1 figure