中国物理B ›› 2008, Vol. 17 ›› Issue (9): 3284-3288.doi: 10.1088/1674-1056/17/9/023

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Phase transition in evolution of traffic flow with scale-free property

沈波, 高自友   

  1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China; School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
  • 收稿日期:2007-01-08 修回日期:2007-11-28 出版日期:2008-09-08 发布日期:2008-09-08
  • 基金资助:
    Project supported by the National Basic Research Program of China (973) (Grant No 2006CB705500), and the National Natural Science Foundation of China (Grant No 70671008).

Phase transition in evolution of traffic flow with scale-free property

Shen Bo(沈波)† and Gao Zi-You(高自友)‡   

  1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China; School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
  • Received:2007-01-08 Revised:2007-11-28 Online:2008-09-08 Published:2008-09-08
  • Supported by:
    Project supported by the National Basic Research Program of China (973) (Grant No 2006CB705500), and the National Natural Science Foundation of China (Grant No 70671008).

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摘要： This paper investigates the behaviour of traffic flow in traffic systems with a new model based on the NaSch model and cluster approximation of mean-field theory. The proposed model aims at constructing a mapping relationship between the microcosmic behaviour and the macroscopic property of traffic flow. Results demonstrate that scale-free phenomenon of the evolution network becomes obvious when the density value of traffic flow reaches at the critical point of phase transition from free flow to traffic congestion, and jamming is limited in this scale-free structure.

关键词: phase transition, traffic flow, scale-free property, cellular automata

Abstract: This paper investigates the behaviour of traffic flow in traffic systems with a new model based on the NaSch model and cluster approximation of mean-field theory. The proposed model aims at constructing a mapping relationship between the microcosmic behaviour and the macroscopic property of traffic flow. Results demonstrate that scale-free phenomenon of the evolution network becomes obvious when the density value of traffic flow reaches at the critical point of phase transition from free flow to traffic congestion, and jamming is limited in this scale-free structure.

Key words: phase transition, traffic flow, scale-free property, cellular automata

中图分类号:  (Granular models of complex systems; traffic flow)

  • 45.70.Vn
05.70.Fh (Phase transitions: general studies) 05.70.Jk (Critical point phenomena)