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arXiv · 1310.3810

Dynamical maximum entropy approach to flocking

Andrea Cavagna·Irene Giardina·Francesco Ginelli·Thierry Mora·Duccio Piovani·Raffaele Tavarone·Aleksandra M. Walczak
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Abstract

We derive a new method to infer from data the out-of-equilibrium alignment dynamics of collectively moving animal groups, by considering the maximum entropy distribution consistent with temporal and spatial correlations of flight direction. When bird neighborhoods evolve rapidly, this dynamical inference correctly learns the parameters of the model, while a static one relying only on the spatial correlations fails. When neighbors change slowly and detailed balance is satisfied, we recover the static procedure. We demonstrate the validity of the method on simulated data. The approach is applicable to other systems of active matter.

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Andrea Cavagna, Irene Giardina, Francesco Ginelli, Thierry Mora, Duccio Piovani, Raffaele Tavarone, Aleksandra M. Walczak. 2013-10-14. Dynamical maximum entropy approach to flocking. https://doi.org/10.1103/physreve.89.042707

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