Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
978126 | Physica A: Statistical Mechanics and its Applications | 2007 | 8 Pages |
Abstract
In two papers we proposed a continuum model for the dynamics of systems of self propelling particles with kinematic constraints on the velocities and discussed some of its properties. The model aims to be analogous to a discrete algorithm used in works by T. Vicsek et al. In this paper we derive the continuous hydrodynamic model from the discrete description. The similarities and differences between the resulting model and the hydrodynamic model postulated in our previous papers are discussed. The results clarify the assumptions used to obtain a continuous description.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
V.I. Ratushnaya, D. Bedeaux, V.L. Kulinskii, A.V. Zvelindovsky,