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Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
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Boundary information inflow enhances correlation in flocking.

Andrea Cavagna1, Irene Giardina, Francesco Ginelli

  • 1Istituto dei Sistemi Complessi, CNR, via dei Taurini 19, I-00185 Roma, Italy.

Physical Review Letters
|May 18, 2013
PubMed
Summary
This summary is machine-generated.

Collective animal behavior, like starling flocks, exhibits long-range correlations. A novel dynamical field approach in simulations explains this emergent property, revealing information flow from boundaries to bulk.

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Area of Science:

  • Physics
  • Complex Systems
  • Collective Behavior

Background:

  • Collective animal behavior often displays emergent ordered structures and long-range spatial correlations.
  • Experimental data from starling flocks show an unusually small exponent (γ<<1) in their velocity correlation function decay.
  • Existing equilibrium and off-equilibrium theories fail to explain this observed correlation exponent.

Purpose of the Study:

  • To investigate the mechanism behind the anomalously long-range correlations observed in collective animal behavior.
  • To develop a theoretical and computational model that can reproduce the experimental findings in starling flocks.
  • To explore the role of information flow in self-organized systems.

Main Methods:

  • Numerical simulations of Heisenberg spins on a 3D lattice.
  • Theoretical calculations involving dynamical fields applied to system boundaries.
  • Analysis of the velocity correlation function decay exponent (γ).

Main Results:

  • A dynamical field applied to the lattice boundary successfully generated a vanishing exponent γ, matching starling flock data.
  • The dynamical field induces an information inflow from the boundary to the bulk.
  • This information inflow excites long-range spin-wave modes, leading to anomalously long-ranged correlations.

Conclusions:

  • The study proposes a novel mechanism for generating long-range correlations in self-organized systems through boundary-driven information flow.
  • This model provides a potential explanation for the observed correlations in starling flocks.
  • The findings suggest that biological systems might utilize exogenous or endogenous information transfer to maintain collective coherence and response.