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Boltzmann and hydrodynamic description for self-propelled particles
Open accessAbstract
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.
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Citations
Cited by
Vicsek, T., & Zafeiris, A. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.03.004 · Cited by 2,923
Collective motion of self-propelled particles interacting without cohesion
Chaté, H., Ginelli, F., Grégoire, G., & Raynaud, F. (2008) · Physical Review E · doi:10.1103/physreve.77.046113 · Cited by 696
Self-citationNon-reciprocal phase transitions
Fruchart, M., Hanai, R., Littlewood, P. B., & Vitelli, V. (2021) · Nature · doi:10.1038/s41586-021-03375-9 · Cited by 567
Swarming and Swirling in Self-Propelled Polar Granular Rods
Kudrolli, A., Lumay, G., Volfson, D., & Tsimring, L. S. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.058001 · Cited by 403
Large-Scale Collective Properties of Self-Propelled Rods
Ginelli, F., Peruani, F., Bär, M., & Chaté, H. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.184502 · Cited by 398
Metadata
- Authors
- Bertin, E., Droz, M., & Grégoire, G.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2006-08-02
- Volume
- 74
- Issue
- 2
- Pages
- 022101-022101
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2086141571
- Cited by
- 389
- References
- 0
- FWCI
- 5.82
- Type
- journal article
- Language
- en
- Open access
- bronze
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