Statistical mechanics for natural flocks of birds

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 minim...

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Vydáno v:Proceedings of the National Academy of Sciences - PNAS Ročník 109; číslo 13; s. 4786
Hlavní autoři: Bialek, William, Cavagna, Andrea, Giardina, Irene, Mora, Thierry, Silvestri, Edmondo, Viale, Massimiliano, Walczak, Aleksandra M
Médium: Journal Article
Jazyk:angličtina
Vydáno: United States 27.03.2012
Témata:
Animals
Biomechanical Phenomena
Entropy
Flight, Animal - physiology
Models, Biological
Models, Statistical
Starlings - physiology
ISSN:1091-6490, 1091-6490
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Shrnutí: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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content type line 23
ISSN:1091-6490
1091-6490
DOI:10.1073/pnas.1118633109