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Flocking with minimal cooperativity: the panic model.

Kevin R Pilkiewicz1, Joel D Eaves1

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Summary
This summary is machine-generated.

Self-propelled spins in a 2D lattice model exhibit robust flocking behavior, forming stripe patterns. Studying the order parameter dynamically reveals how flocking mechanisms change with spin density.

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Area of Science:

  • Statistical physics
  • Complex systems

Background:

  • Self-propelled particles (SPPs) are fundamental to understanding collective motion in biological and artificial systems.
  • Previous models often require high densities or complex interactions to achieve flocking.

Purpose of the Study:

  • To investigate flocking behavior in a simplified 2D lattice model of self-propelled spins.
  • To characterize the non-thermodynamic structural transition and its dependence on particle density.

Main Methods:

  • Development of a 2D lattice model with self-propelled spins.
  • Simulations incorporating ballistic motion and collision-based directional changes.
  • Analysis of an order parameter as both a steady-state observable and a dynamical variable.

Main Results:

  • Robust flocking behavior observed across a wide range of densities, forming long stripe patterns.
  • The system exhibits a structural transition not typical of thermodynamic phase transitions.
  • Dynamical analysis of the order parameter provides insights into density-dependent flocking mechanisms.

Conclusions:

  • A minimal model of self-propelled spins can generate complex collective behaviors like flocking.
  • The study highlights the utility of dynamical analysis for understanding transitions in non-equilibrium systems.
  • The findings contribute to the broader understanding of emergent phenomena in complex systems.