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Moving and staying together without a leader
Open accessAbstract
Abstract A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be maintained, even in the zero-density limit of an arbitrarily large flock in an infinite space. The phase diagram spanned by the two main parameters of our model, which encode the tendencies for particles to align and to stay together, contains non-moving “gas”, “liquid” and “solid” phases separated from their moving counterparts by the onset of collective motion. The “gas/liquid” and “liquid/solid” are shown to be first-order phase transitions in all cases. In the cohesive phases, we study also the diffusive properties of individuals and their relation to the macroscopic motion and to the shape of the flock.
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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
Effective leadership and decision-making in animal groups on the move
Couzin, I. D., Krause, J., Franks, N. R., & Levin, S. A. (2005) · Nature · doi:10.1038/nature03236 · Cited by 2,753
Hierarchical group dynamics in pigeon flocks
Nagy, M., Ákos, Z., Biro, D., & Vicsek, T. (2010) · Nature · doi:10.1038/nature08891 · Cited by 1,053
The principles of collective animal behaviour
Sumpter, D. J. T. (2006) · Philosophical Transactions of the Royal Society B: Biological Sciences · doi:10.1098/rstb.2005.1733 · Cited by 1,020
Sumpter, D. J. T. (2010) · doi:10.1515/9781400837106 · Cited by 914
Metadata
- Authors
- Grégoire, G., Chaté, H., & Tu, Y.
- Venue
- Physica D: Nonlinear Phenomena
- Publisher
- Elsevier BV
- Published
- 2003-07
- Volume
- 181
- Issue
- 3-4
- Pages
- 157-170
- ISSN
- 0167-2789 (ISSN-L)
- OpenAlex
- W2089293352
- Cited by
- 358
- References
- 0
- FWCI
- 10.91
- Type
- journal article
- Language
- en
- Open access
- green
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- Grégoire, G., Chaté, H., & Tu, Y. (2003). Moving and staying together without a leader. Physica D: Nonlinear Phenomena. https://doi.org/10.1016/s0167-2789(03)00102-7
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