dorsal/arxiv
View SchemaHydrodynamic Model for the System of Self Propelling Particles with Conservative Kinematic Constraints; Two dimensional stationary solutions
| Authors | V. I. Ratushnaya, V. L. Kulinskii, A. V. Zvelindovsky, D. Bedeaux |
|---|---|
| Categories | |
| ArXiv ID | physics/0507087 |
| URL | https://arxiv.org/abs/physics/0507087 |
| DOI | 10.1016/j.physa.2005.11.002 |
| Journal | Physica A: Statistical Mechanics and its Applications Volume 366, 1 July 2006, Pages 107-114 |
Abstract
We consider a continuum model for the dynamics of systems of self propelling particles with kinematic constraints on the velocities. The model aims to be analogous to a discrete algorithm used in works by T. Vicsek et al. In this paper we prove that the only types of the stationary planar solutions in the model are either of translational or axial symmetry of the flow. Within the proposed model we differentiate between finite and infinite flocking behavior by the finiteness of the kinetic energy functional.
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"abstract": "We consider a continuum model for the dynamics of systems of self propelling\nparticles with kinematic constraints on the velocities. The model aims to be\nanalogous to a discrete algorithm used in works by T. Vicsek et al. In this\npaper we prove that the only types of the stationary planar solutions in the\nmodel are either of translational or axial symmetry of the flow. Within the\nproposed model we differentiate between finite and infinite flocking behavior\nby the finiteness of the kinetic energy functional.",
"arxiv_id": "physics/0507087",
"authors": [
"V. I. Ratushnaya",
"V. L. Kulinskii",
"A. V. Zvelindovsky",
"D. Bedeaux"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1016/j.physa.2005.11.002",
"journal_ref": "Physica A: Statistical Mechanics and its Applications Volume 366,\n 1 July 2006, Pages 107-114",
"title": "Hydrodynamic Model for the System of Self Propelling Particles with Conservative Kinematic Constraints; Two dimensional stationary solutions",
"url": "https://arxiv.org/abs/physics/0507087"
},
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