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Pedestrian behaviors in a lattice gas model with large maximum velocity

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  • Jiang, Rui
  • Wu, Qing-Song

Abstract

In this paper, the lattice gas model for pedestrian flow is extended to large maximum velocity vmax>1. It is shown that at large vmax, the critical density corresponding to the maximum flow rate of fundamental diagram is in good agreement with empirical results. The counter flow is studied and it is found that with the increase of vmax, the jam transition threshold decreases. This is explained by the attachment rate to jam and detachment rate from jam. The fundamental diagram of mixed pedestrian flow is also investigated and the dependence of the flow rate on the ratio of fast pedestrians is simulated. Finally, the counter flow of mixed pedestrians is studied and it is found the more homogeneous the mixed pedestrians are distributed, the smaller the jam transition threshold is.

Suggested Citation

  • Jiang, Rui & Wu, Qing-Song, 2007. "Pedestrian behaviors in a lattice gas model with large maximum velocity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 683-693.
    • Handle: RePEc:eee:phsmap:v:373:y:2007:i:c:p:683-693
    DOI: 10.1016/j.physa.2006.06.006
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    Citations

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    Cited by:

    1. Yamamoto, Hiroki & Yanagisawa, Daichi & Feliciani, Claudio & Nishinari, Katsuhiro, 2019. "Body-rotation behavior of pedestrians for collision avoidance in passing and cross flow," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 486-510.
    2. Cao, Shuchao & Song, Weiguo & Lv, Wei & Fang, Zhiming, 2015. "A multi-grid model for pedestrian evacuation in a room without visibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 45-61.
    3. Li, Chuan-Yao & Yang, Rui-Yu & Xu, Guang-ming, 2019. "Impacts of group behavior on boarding process at the platform of high speed railway station," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    4. Guo, Ren-Yong, 2014. "New insights into discretization effects in cellular automata models for pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 1-11.
    5. Li, Xiang & Sun, Jian-Qiao, 2015. "Studies of vehicle lane-changing to avoid pedestrians with cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 251-271.
    6. Shang, Hua-Yan & Huang, Hai-Jun & Zhang, Yi-Ming, 2015. "An extended mobile lattice gas model allowing pedestrian step size variable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 283-293.
    7. Ma, Jian & Song, Wei-guo & Zhang, Jun & Lo, Siu-ming & Liao, Guang-xuan, 2010. "k-Nearest-Neighbor interaction induced self-organized pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 2101-2117.
    8. Li, Xingli & Guo, Fang & Kuang, Hua & Zhou, Huaguo, 2017. "Effect of psychological tension on pedestrian counter flow via an extended cost potential field cellular automaton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 47-57.
    9. Li, Xiao-Yang & Lin, Zhi-Yang & Zhang, Peng & Zhang, Xiao-Ning, 2023. "Reconstruction of density and cost potential field of Eikonal equation: Applications to discrete pedestrian flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    10. Li, Xiang & Sun, Jian-Qiao, 2014. "Effect of interactions between vehicles and pedestrians on fuel consumption and emissions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 661-675.
    11. Li, Xiang & Sun, Jian-Qiao, 2016. "Effects of vehicle–pedestrian interaction and speed limit on traffic performance of intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 335-347.
    12. Fang, Jun & Qin, Zheng & Hu, Hao & Xu, Zhaohui & Li, Huan, 2012. "The fundamental diagram of pedestrian model with slow reaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6112-6120.
    13. Guo, Xiwei & Chen, Jianqiao & Zheng, Yaochen & Wei, Junhong, 2012. "A heterogeneous lattice gas model for simulating pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 582-592.
    14. Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning, 2021. "Phase behaviors of counterflowing stream of pedestrians with site-exchange in local vision and environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).

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