dorsal/arxiv
View SchemaCollective Behavior of Self Propelling Particles with Kinematic Constraints; The relation between the discrete and the continuous description
| Authors | V. I. Ratushnaya, D. Bedeaux, V. L. Kulinskii, A. V. Zvelindovsky |
|---|---|
| Categories | |
| ArXiv ID | physics/0611208 |
| URL | https://arxiv.org/abs/physics/0611208 |
| DOI | 10.1016/j.physa.2007.03.045 |
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.
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"abstract": "In two papers we proposed a continuum model for the dynamics of systems of\nself propelling particles with kinematic constraints on the velocities and\ndiscussed some of its properties. The model aims to be analogous to a discrete\nalgorithm used in works by T. Vicsek et al. In this paper we derive the\ncontinuous hydrodynamic model from the discrete description. The similarities\nand differences between the resulting model and the hydrodynamic model\npostulated in our previous papers are discussed. The results clarify the\nassumptions used to obtain a continuous description.",
"arxiv_id": "physics/0611208",
"authors": [
"V. I. Ratushnaya",
"D. Bedeaux",
"V. L. Kulinskii",
"A. V. Zvelindovsky"
],
"categories": [
"physics.flu-dyn",
"physics.bio-ph"
],
"doi": "10.1016/j.physa.2007.03.045",
"title": "Collective Behavior of Self Propelling Particles with Kinematic Constraints; The relation between the discrete and the continuous description",
"url": "https://arxiv.org/abs/physics/0611208"
},
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