dorsal/arxiv
View SchemaStability properties of the collective stationary motion of self-propelling particles with conservative kinematic constraints
| Authors | V. I. Ratushnaya, D. Bedeaux, V. L. Kulinskii, A. V. Zvelindovsky |
|---|---|
| Categories | |
| ArXiv ID | physics/0611210 |
| URL | https://arxiv.org/abs/physics/0611210 |
| DOI | 10.1088/1751-8113/40/10/021 |
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 radially 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.
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"abstract": "In our previous papers we proposed a continuum model for the dynamics of the\nsystems of self-propelling particles with conservative kinematic constraints on\nthe velocities. We have determined a class of stationary solutions of this\nhydrodynamic model and have shown that two types of stationary flow, linear and\nradially symmetric (vortical) flow, are possible. In this paper we consider the\nstability properties of these stationary flows. We show, using a linear\nstability analysis, that the linear solutions are neutrally stable with respect\nto the imposed velocity and density perturbations. A similar analysis of the\nstability of the vortical solution is found to be not conclusive.",
"arxiv_id": "physics/0611210",
"authors": [
"V. I. Ratushnaya",
"D. Bedeaux",
"V. L. Kulinskii",
"A. V. Zvelindovsky"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1088/1751-8113/40/10/021",
"title": "Stability properties of the collective stationary motion of self-propelling particles with conservative kinematic constraints",
"url": "https://arxiv.org/abs/physics/0611210"
},
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