Second-order phase transition in two-dimensional cellular automaton model of traffic flow containing road sections

Xiao-Qiu Shi, Yi-Qi Wu, Hong Li and Rui Zhong

Physica A: Statistical Mechanics and its Applications, 2007, vol. 385, issue 2, 659-666

Abstract: Two-dimensional cellular automaton model has been broadly researched for traffic flow, as it reveals the main characteristics of the traffic networks in cities. Based on the BML models, a first-order phase transition occurs between the low-density moving phase in which all cars move at maximal speed and the high-density jammed phase in which all cars are stopped. However, it is not a physical result of a realistic system. We propose a new traffic rule in a two-dimensional traffic flow model containing road sections, which reflects that a car cannot enter into a road crossing if the road section in front of the crossing is occupied by another car. The simulation results reveal a second-order phase transition that separates the free flow phase from the jammed phase. In this way the system will not be entirely jammed (“don’t block the box” as in New York City).

Keywords: Cellular automaton; Traffic flow model; Simulation; Phase transition (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:385:y:2007:i:2:p:659-666

DOI: 10.1016/j.physa.2007.07.034

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