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Order-disorder transition in multidirectional crowds.

Karol A Bacik1, Grzegorz Sobota2, Bogdan S Bacik2

  • 1Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02142.

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|March 24, 2025
PubMed
Summary
This summary is machine-generated.

Crowd behavior transitions from disordered to ordered motion, forming lanes, as population heterogeneity increases. This order-disorder transition is driven by collision avoidance maneuvers, observed in simulations and experiments.

Keywords:
active matterpedestrian dynamicsself-organized

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Area of Science:

  • Physics of active matter
  • Collective behavior dynamics
  • Nonlinear dynamics and statistical physics

Background:

  • Active flows, like pedestrian crowds, exhibit complex collective motion.
  • Disordered, isotropic motion contrasts with ordered, lane-like structures in confined spaces.
  • Understanding crowd dynamics is crucial for urban planning and safety.

Purpose of the Study:

  • To characterize the physics of the order-disorder transition in active flows.
  • To develop a theoretical framework for heterogeneous population dynamics.
  • To identify the critical parameters governing spontaneous lane formation.

Main Methods:

  • Theoretical analysis using hydrodynamic theory for collisional flows.
  • Numerical simulations of agent-based models.
  • Controlled experiments with human crowds.

Main Results:

  • Identified a critical threshold for population heterogeneity triggering the order-disorder transition.
  • Developed a hydrodynamic theory predicting spontaneous lane formation.
  • Observed consistency between theoretical predictions, simulations, and experimental data.

Conclusions:

  • Population heterogeneity and collision avoidance are key factors in crowd ordering.
  • The study provides a physics-based understanding of pedestrian lane formation.
  • Findings are applicable to modeling and managing pedestrian flow in various environments.