Phase transition in evolution of traffic flow with scale-free property
Shen Bo(沈波)† and Gao Zi-You(高自友)‡
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
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.
Received: 08 January 2007
Revised: 28 November 2007
Accepted manuscript online:
PACS:
45.70.Vn
(Granular models of complex systems; traffic flow)
Fund: 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).
Cite this article:
Shen Bo(沈波) and Gao Zi-You(高自友) Phase transition in evolution of traffic flow with scale-free property 2008 Chin. Phys. B 17 3284
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