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Analytical and simulation studies of intersecting pedestrian flow on the 2D lattice with parallel update rule

Author

Listed:
  • Ding, Zhong-Jun
  • Huang, Yan-Hui
  • Liu, Teng
  • Ding, Jian-Xun
  • Hu, Wenting
  • Jiang, Rui
  • Wang, Bing-Hong

Abstract

The intersecting pedestrian flow on the 2D lattice with parallel update rule is studied. Each pedestrian has three moving directions without a back step. An intermediate phase has been found in which some pedestrians could move along the border of jamming stripes. A improved cluster mean field method has been proposed for the moving phase. A mean field analysis was also developed to analyze the intermediate phase. The analytical results agree with the simulation results well. The empty site moves along the interface of jamming stripes when the system only has one empty site. The average movement of empty site in each time step has been analyzed through the master equations.

Suggested Citation

  • Ding, Zhong-Jun & Huang, Yan-Hui & Liu, Teng & Ding, Jian-Xun & Hu, Wenting & Jiang, Rui & Wang, Bing-Hong, 2019. "Analytical and simulation studies of intersecting pedestrian flow on the 2D lattice with parallel update rule," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1183-1201.
    • Handle: RePEc:eee:phsmap:v:523:y:2019:i:c:p:1183-1201
    DOI: 10.1016/j.physa.2019.04.204
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