Collective behavior of self-propelling particles with kinematic constraints: The relation between the discrete and the continuous description

Ratushnaya, V. I. and Bedeaux, D. and Kulinskii, V. L. and Zvelindovsky, Andrei (2007) Collective behavior of self-propelling particles with kinematic constraints: The relation between the discrete and the continuous description. Physica A: Statistical Mechanics and its Applications, 381 (1-2). pp. 39-46. ISSN 0378-4371

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Item Type:Article
Item Status:Live Archive

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. © 2007 Elsevier B.V. All rights reserved.

Keywords:Algorithms, Dynamical systems, Hydrodynamics, Kinematics, Mathematical models, Continuum models, Hydrodynamic models, Kinematic constraints, Self-propelling particles, Continuum mechanics
Subjects:G Mathematical and Computer Sciences > G400 Computer Science
H Engineering > H310 Dynamics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:14969
Deposited On:22 Sep 2014 09:45

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