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Dynamical transition in merging pedestrian flow without bottleneck

Author

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  • Nagatani, Takashi

Abstract

The merging flow model without a bottleneck is presented to mimic the pedestrian channel flow with a meeting point. Two channel flows in front of the meeting point interact one another when the exit density is higher than the maximal-current density. The distinct phase transition occurs by varying the entrance densities. The dynamical phase transition among the low-density, maximal-current, and high-density phases is investigated by the use of the mean-field model. The phase diagram is found numerically and analytically. The merging pedestrian flow is analyzed by using a one-dimensional approximation. The one-dimensional approximation is consistent with the numerical result.

Suggested Citation

  • Nagatani, Takashi, 2002. "Dynamical transition in merging pedestrian flow without bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 307(3), pages 505-515.
    • Handle: RePEc:eee:phsmap:v:307:y:2002:i:3:p:505-515
    DOI: 10.1016/S0378-4371(01)00608-2
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    Cited by:

    1. Zhang, Xinwei & Zhang, Peihong & Zhong, Maohua, 2021. "A dual adaptive cellular automaton model based on a composite field and pedestrian heterogeneity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    2. Fang, Zhiming & Song, Weiguo & Zhang, Jun & Wu, Hao, 2010. "Experiment and modeling of exit-selecting behaviors during a building evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 815-824.
    3. Liang, Mengdi & Xu, Jie & Jia, Limin & Qin, Yong, 2020. "An improved model of passenger merging in a Y-shaped passage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    4. Tang, Tie-Qiao & Yang, Shao-Peng & Ou, Hui & Chen, Liang & Huang, Hai-Jun, 2018. "An aircraft boarding model accounting for group behavior," Journal of Air Transport Management, Elsevier, vol. 69(C), pages 182-189.

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