Collective behavior in the system of self propelling particles with nonholonomic constraints

Kulinskii, V. L.; Ratushnaya, V. I.; Zvelindovsky, A. V.; Bedeaux, D.

Collective behavior in the system of self propelling particles with nonholonomic constraints

Authors

Description

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.
5 pages, 1 figure