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

Author

Listed:
  • Shi, Xiao-Qiu
  • Wu, Yi-Qi
  • Li, Hong
  • Zhong, Rui

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).

Suggested Citation

  • Shi, Xiao-Qiu & Wu, Yi-Qi & Li, Hong & Zhong, Rui, 2007. "Second-order phase transition in two-dimensional cellular automaton model of traffic flow containing road sections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 659-666.
    • Handle: RePEc:eee:phsmap:v:385:y:2007:i:2:p:659-666
    DOI: 10.1016/j.physa.2007.07.034
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    Cited by:

    1. S. I. Oni & Charles Asenime, 2008. "A Daily Flow Profile of Traffic in an Urban Traffic Corridor: The Nigerian Experience," Indus Journal of Management & Social Science (IJMSS), Department of Business Administration, vol. 2(2), pages 99-109, December.

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