Statistical mechanics for natural flocks of birds

Abstract

Interactions among neighboring birds in a flock cause an alignment of their flight directions. We show that the minimally structured (maximum entropy) model consistent with these local correlations correctly predicts the propagation of order throughout entire flocks of starlings, with no free parameters. These models are mathematically equivalent to the Heisenberg model of magnetism, and define an "energy" for each configuration of flight directions in the flock. Comparing flocks of different densities, the range of interactions that contribute to the energy involves a fixed number of (topological) neighbors, rather than a fixed (metric) spatial range. Comparing flocks of different sizes, the model correctly accounts for the observed scale invariance of long ranged correlations among the fluctuations in flight direction.

References in corpus (8)

• Novel type of phase transition in a system of self-driven particles
• Interaction Ruling Animal Collective Behaviour Depends on Topological rather than Metric Distance: Evidence from a Field Study
• Identification of direct residue contacts in protein-protein interaction by message passing
• Are biological systems poised at criticality?
• Adaptive Cluster Expansion for Inferring Boltzmann Machines with Noisy Data
• Ising models for networks of real neurons
• Rediscovering the power of pairwise interactions
• High-Dimensional Inference with the generalized Hopfield Model: Principal Component Analysis and Corrections

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