The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Statistical mechanics for natural flocks of birds
Open accessAbstract
Flocking is a typical example of emergent collective behavior, where interactions between individuals produce collective patterns on the large scale. Here we show how a quantitative microscopic theory for directional ordering in a flock can be derived directly from field data. We construct the minimally structured (maximum entropy) model consistent with experimental correlations in large flocks of starlings. The maximum entropy model shows that local, pairwise interactions between birds are sufficient to correctly predict the propagation of order throughout entire flocks of starlings, with no free parameters. We also find that the number of interacting neighbors is independent of flock density, confirming that interactions are ruled by topological rather than metric distance. Finally, by comparing flocks of different sizes, the model correctly accounts for the observed scale invariance of long-range correlations among the fluctuations in flight direction.
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A Mathematical Theory of Communication
Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
Information theory and statistical mechanics
Jaynes, E. T. (1957) · Physical Review · doi:10.1103/physrev.106.620 · Cited by 12,931
The Theory of Critical Phenomena: An Introduction to the Renormalization Group
Binney, J. J., Dowrick, N. J., Fisher, A. J., & Newman, M. E. J. (1992) · doi:10.1093/oso/9780198513940.001.0001 · Cited by 1,243
Inferring the structure and dynamics of interactions in schooling fish
Katz, Y., Tunstrøm, K., Ioannou, C. C., Huepe, C., & Couzin, I. D. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1107583108 · Cited by 927
Are Biological Systems Poised at Criticality?
Mora, T., & Bialek, W. (2011) · Journal of Statistical Physics · doi:10.1007/s10955-011-0229-4 · Cited by 734
Self-citation
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Odd dynamics of living chiral crystals
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High-order social interactions in groups of mice
Shemesh, Y., Sztainberg, Y., Forkosh, O., Shlapobersky, T., Chen, A., & Schneidman, E. (2013) · eLife · doi:10.7554/elife.00759 · Cited by 213
Learning to flock through reinforcement
Durve, M., Peruani, F., & Celani, A. (2020) · Physical Review E · doi:10.1103/physreve.102.012601 · Cited by 58
Jiang, J., Chen, S., Tsou, T., McGinnis, C. S., Khazaei, T., Zhu, Q., Park, J. H., Strazhnik, I.-M., Vielmetter, J., Gong, Y., et al. (2023) · doi:10.1101/2023.04.19.537364 · Cited by 21
Mapping Spatial Patterns to Energetic Benefits in Groups of Flow-coupled Swimmers
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Metadata
- Authors
- Bialek, W., Cavagna, A., Giardina, I., Mora, T., Silvestri, E., Viale, M., & Walczak, A. M.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2012-03-16
- Volume
- 109
- Issue
- 13
- Pages
- 4786-4791
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2092685486
- Cited by
- 780
- References
- 5
- FWCI
- 59.51
- Type
- journal article
- Language
- en
- Open access
- green
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- Bialek, W., Cavagna, A., Giardina, I., Mora, T., Silvestri, E., Viale, M., & Walczak, A. M. (2012). Statistical mechanics for natural flocks of birds. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.1118633109
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