Research Abstract


Chaotic Ising-like dynamics in traffic signals

2013年1月24日 Scientific Reports 3 : 1127 doi: 10.1038/srep01127


鈴木 秀幸1, 井村 順一2 & 合原 一幸1

  1. 東京大学 生産技術研究所
  2. 東京工業大学 大学院情報理工学研究科
The green and red lights of a traffic signal can be viewed as the up and down states of an Ising spin. Moreover, traffic signals in a city interact with each other, if they are controlled in a decentralised way. In this paper, a simple model of such interacting signals on a finite-size two-dimensional lattice is shown to have Ising-like dynamics that undergoes a ferromagnetic phase transition. Probabilistic behaviour of the model is realised by chaotic billiard dynamics that arises from coupled non-chaotic elements. This purely deterministic model is expected to serve as a starting point for considering statistical mechanics of traffic signals.