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Ergodic directional switching in mobile insect groups.

Carlos Escudero1, Christian A Yates, Jerome Buhl

  • 1ICMAT, CSIC-UAM-UC3M-UCM, Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, Ciudad Universitaria de Cantoblanco, 28049 Madrid, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
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Summary
This summary is machine-generated.

Noise in locust swarms, described by a Fokker-Planck equation, leads to complex behaviors. These findings challenge current theories of noise-induced transitions in collective animal motion.

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Area of Science:

  • Collective animal behavior
  • Statistical physics
  • Mathematical biology

Background:

  • Collective motion in animal groups, like locust swarms, is a complex phenomenon.
  • Understanding the role of internal noise in biological systems is crucial.
  • Existing theories of noise-induced transitions may not fully capture biological complexities.

Purpose of the Study:

  • To derive a Fokker-Planck equation for locust collective motion.
  • To investigate the impact of internally generated noise on swarm behavior.
  • To explore novel interpretations of noise-induced transitions in biological models.

Main Methods:

  • Derivation of a Fokker-Planck equation from experimental data.
  • Analysis of the stationary probability distribution.
  • Examination of order and disorder transition indicators as a function of noise intensity.

Main Results:

  • The Fokker-Planck equation accurately describes locust swarm dynamics.
  • The stationary probability distribution exhibits nonmonotonic behavior in response to noise.
  • Noise intensity influences order and disorder indicators in complex, counterintuitive ways.

Conclusions:

  • Internal noise in locust swarms generates complex, emergent behaviors.
  • Standard theories of noise-induced transitions require extension for biological systems.
  • Collective directional switches in swarms may result from inherent random ergodic effects.