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In heterogeneous environments, obstacles can surprisingly enhance flocking order in Vicsek models. Increasing noise and interaction radius with obstacles can lead to unexpected global alignment.

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Area of Science:

  • Complex Systems
  • Statistical Physics
  • Collective Behavior

Background:

  • The Vicsek model is a standard for studying self-propelled particle flocking.
  • Previous studies explored interaction rules, speed, and obstacle density.
  • The impact of interaction radius on flocking in heterogeneous environments is not well understood.

Purpose of the Study:

  • Investigate the effect of interaction radius on Vicsek particle flocking in environments with obstacles.
  • Analyze how obstacles influence group density and collective behavior phases.
  • Determine if obstacles can facilitate global order despite increased noise.

Main Methods:

  • Simulations of the Vicsek model in heterogeneous environments.
  • Systematic variation of interaction radius and noise levels.
  • Analysis of flocking polarization, group density, and phase transitions.

Main Results:

  • Interaction radius significantly affects flock alignment and realignment after obstacle collisions.
  • Obstacles alter group density, enabling the identification of distinct collective behavior phases.
  • Counter-intuitively, obstacles can promote global order as system noise increases.

Conclusions:

  • The scale of particle perception (interaction radius) is crucial in heterogeneous environments.
  • Obstacles can paradoxically enhance flocking order by influencing group density and enabling new collective behaviors.
  • This finding has implications for designing artificial systems and understanding natural flocking.