Stability properties of the collective stationary motion of self-propelling particles with conservative kinematic constraints

Ratushnaya, V. I. and Bedeaux, D. and Kulinskii, V. L. and Zvelindovsky, Andrei (2007) Stability properties of the collective stationary motion of self-propelling particles with conservative kinematic constraints. Journal of Physics A: Mathematical and Theoretical, 40 (10). pp. 2573-2581. ISSN 1751-8113

Full content URL: http://iopscience.iop.org/1751-8121/40/10/021/

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Item Type:Article
Item Status:Live Archive

Abstract

In our previous papers we proposed a continuum model for the dynamics of the systems of self-propelling particles with conservative kinematic constraints on the velocities. We have determined a class of stationary solutions of this hydrodynamic model and have shown that two types of stationary flow, linear and axially symmetric (vortical) flow, are possible. In this paper we consider the stability properties of these stationary flows. We show, using a linear stability analysis, that the linear solutions are neutrally stable with respect to the imposed velocity and density perturbations. A similar analysis of the stability of the vortical solution is found to be not conclusive. © 2007 IOP Publishing Ltd.

Keywords:Self-propelling particles, Continuum mechanics, Hydrodynamic models, stationary flow
Subjects:F Physical Sciences > F340 Mathematical & Theoretical Physics
Divisions:College of Science > School of Mathematics and Physics
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ID Code:14973
Deposited On:22 Sep 2014 11:06

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