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Hydrodynamics of Turning Flocks.

Xingbo Yang1, M Cristina Marchetti1,2

  • 1Physics Department, Syracuse University, Syracuse, New York 13244, USA.

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Summary
This summary is machine-generated.

We developed a new hydrodynamic model for flocking behavior that includes turning inertia. This model reveals how orientational inertia and alignment strength create complex swirling and turning patterns in animal groups.

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Area of Science:

  • Physics
  • Complex Systems
  • Collective Behavior

Background:

  • Flocking behavior in nature is often modeled using continuum theories like the Toner-Tu equations.
  • Existing models may not fully capture the inertial effects of turning in well-organized flocks.

Purpose of the Study:

  • To present a generalized hydrodynamic model of flocking that incorporates the turning inertia of cohesive groups.
  • To investigate the emergence of complex spatiotemporal patterns from this new model.

Main Methods:

  • Derivation of continuum equations by coarse-graining an inertial spin model.
  • Analysis of the interplay between orientational inertia, alignment strength, and flock elasticity.
  • Investigation of anisotropic spin waves and their coupling to vorticity.

Main Results:

  • The model yields anisotropic spin waves that propagate turning information.
  • A hydrodynamic mode with angular-dependent propagation speed arises from nonlinear friction.
  • This mode becomes unstable, leading to complex turning and swirling flock dynamics.

Conclusions:

  • Turning inertia is a crucial factor in flocking dynamics, leading to novel emergent behaviors.
  • The generalized model provides insights into the transition to complex spatiotemporal patterns in collective motion.
  • This work advances the understanding of self-organized systems with inertial effects.