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Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street
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Chaotic Ising-like dynamics in traffic signals.

Hideyuki Suzuki1, Jun-ichi Imura, Kazuyuki Aihara

  • 1Institute of Industrial Science, The University of Tokyo, Tokyo, Japan. hideyuki@iis.u-tokyo.ac.jp

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|January 26, 2013
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Traffic signals behave like Ising spins, with interacting signals exhibiting a phase transition. This deterministic model uses chaotic billiard dynamics to simulate probabilistic traffic signal behavior.

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Area of Science:

  • Statistical mechanics
  • Complex systems
  • Traffic dynamics

Background:

  • Traffic signals can be modeled as Ising spins, representing up (green) and down (red) states.
  • Decentralized traffic signal control leads to interactions between signals in a city.

Purpose of the Study:

  • To introduce a simple, deterministic model of interacting traffic signals on a 2D lattice.
  • To investigate the Ising-like dynamics and phase transitions in this traffic signal model.

Main Methods:

  • Modeling traffic signals as Ising spins on a finite-size two-dimensional lattice.
  • Utilizing chaotic billiard dynamics arising from coupled non-chaotic elements to achieve probabilistic behavior.
  • Analyzing the system for ferromagnetic phase transitions.

Main Results:

  • The model demonstrates Ising-like dynamics.
  • A ferromagnetic phase transition is observed in the system.
  • Probabilistic behavior is successfully realized through deterministic chaotic dynamics.

Conclusions:

  • The proposed deterministic model effectively simulates Ising-like dynamics and phase transitions in traffic signals.
  • This model provides a foundation for exploring the statistical mechanics of traffic signal systems.
  • Chaotic billiard dynamics offer a deterministic route to simulating probabilistic phenomena in complex systems.