Boltzmann and hydrodynamic description for self-propelled particles.
- Bertin E Department of Theoretical Physics, University of Geneva, CH-1211 Geneva 4, Switzerland.
- Droz M
- Grégoire G
- 2006-10-10
Published in:
- Physical review. E, Statistical, nonlinear, and soft matter physics. - 2006
English
We study analytically the emergence of spontaneous collective motion within large bidimensional groups of self-propelled particles with noisy local interactions, a schematic model for assemblies of biological organisms. As a central result, we derive from the individual dynamics the hydrodynamic equations for the density and velocity fields, thus giving a microscopic foundation to the phenomenological equations used in previous approaches. A homogeneous spontaneous motion emerges below a transition line in the noise-density plane. Yet, this state is shown to be unstable against spatial perturbations, suggesting that more complicated structures should eventually appear.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1103/PhysRevE.74.022101
- PMID 17025488
- Persistent URL
- https://sonar.ch/global/documents/117831
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