Volume 71, Number 2, July 2005
|Page(s)||207 - 213|
|Published online||17 June 2005|
Hydrodynamic model for a system of self-propelling particles with conservative kinematic constraints
Department for Theoretical Physics, Odessa National University Dvoryanskaya 2, 65026 Odessa, Ukraine
2 Colloid and Interface Science group, LIC, Leiden University P.O. Box 9502, 2300 RA Leiden, The Netherlands
3 Centre for Materials Science, Department of Physics, Astronomy & Mathematics University of Central Lancashire - Preston PR1 2HE, UK
Corresponding author: email@example.com
Accepted: 26 May 2005
We consider the dynamics of systems of self-propelling particles with kinematic constraints on the velocities. A continuum model for a discrete algorithm used in works by Vicsek et al. is proposed. For a case of planar geometry, finite-flocking behavior is obtained. The circulation of the velocity field is found not to be conserved. The stability of ordered motion with respect to noise is discussed.
PACS: 05.65.+b – Self-organized systems / 47.32.-y – Rotational flow and vorticity / 87.10.+e – General theory and mathematical aspects
© EDP Sciences, 2005
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