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General scaling in bidirectional flows of self-avoiding agents.

Javier Cristín1, Vicenç Méndez2, Daniel Campos2

  • 1Grup de Física Estadística. Departament de Física, Universitat Autònoma de Barcelona., 08193, Bellaterra, (Barcelona), Spain. javier.cristin@uab.cat.

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Universal scaling in pedestrian flow dynamics emerges regardless of interaction rules. This suggests a common feature of self-avoiding agents in bidirectional flows, not a specific interaction mechanism.

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Area of Science:

  • Collective behavior
  • Statistical physics
  • Pedestrian dynamics

Background:

  • Classical radial distribution functions can reveal interaction rules from collective movement patterns.
  • Previous work identified universal scaling in pedestrian spatial patterns using an effective interaction potential in time-to-collision space.

Purpose of the Study:

  • To numerically explore the emergence of universal scaling in bidirectional pedestrian flows.
  • To investigate if this scaling is independent of different self-avoidance rules.

Main Methods:

  • Numerical simulations of bidirectional pedestrian flows.
  • Comparison of various self-avoidance rules, from physical potentials to heuristic models.
  • Analysis of collective spatial patterns and scaling in time-to-collision space.

Main Results:

  • A common universal scaling was observed in the time-to-collision space for both disordered and lane-formation regimes.
  • This scaling was consistent across different self-avoidance rules, including physical-like potentials and heuristic rules.
  • The emergence of scaling was independent of the specific interaction mechanisms considered.

Conclusions:

  • The observed universal scaling in bidirectional flows is a general feature of self-avoiding agents.
  • These scalings do not directly reflect specific pedestrian interaction rules but rather a collective property.
  • The findings provide insights into the fundamental characteristics of emergent behavior in crowd dynamics.