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Clogging transition of pedestrian flow in T-shaped channel

Author

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  • Tajima, Yusuke
  • Nagatani, Takashi

Abstract

Pedestrian flow is investigated under the open boundaries in a T-shaped channel where the branch flow joins the main flow at the junction. The pedestrian merging flow is simulated by the use of the lattice-gas model of biased random walkers. When the main flow rate increases under the constant value of branch flow rate, the clogging transitions occur at the main flow or branch flow or both flows. It is shown that the dynamical phase transitions depend on both inlet densities. The four distinct phases are found. The phase diagram is presented for the distinct phases. The scaling of saturated flow rate and transition point is shown. The flow rate exhibits the universal scaling form.

Suggested Citation

  • Tajima, Yusuke & Nagatani, Takashi, 2002. "Clogging transition of pedestrian flow in T-shaped channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 303(1), pages 239-250.
    • Handle: RePEc:eee:phsmap:v:303:y:2002:i:1:p:239-250
    DOI: 10.1016/S0378-4371(01)00424-1
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    Cited by:

    1. Chen, Changkun & Sun, Huakai & Lei, Peng & Zhao, Dongyue & Shi, Congling, 2021. "An extended model for crowd evacuation considering pedestrian panic in artificial attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    2. Chen, Chang-Kun & Li, Jian & Zhang, Dong, 2012. "Study on evacuation behaviors at a T-shaped intersection by a force-driving cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2408-2420.
    3. Shahhoseini, Zahra & Sarvi, Majid, 2019. "Pedestrian crowd flows in shared spaces: Investigating the impact of geometry based on micro and macro scale measures," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 57-87.
    4. Zhao, Yongxiang & Li, Meifang & Lu, Xin & Tian, Lijun & Yu, Zhiyong & Huang, Kai & Wang, Yana & Li, Ting, 2017. "Optimal layout design of obstacles for panic evacuation using differential evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 175-194.
    5. Wang, Li & Liu, Mao & Meng, Bo, 2013. "Incorporating topography in a cellular automata model to simulate residents evacuation in a mountain area in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(3), pages 520-528.
    6. Qiu, Guo & Song, Rui & He, Shiwei & Yin, Weichuan, 2018. "The pedestrian flow characteristics of Y-shaped channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 199-212.
    7. Zheng, Ying & Jia, Bin & Li, Xin-Gang & Zhu, Nuo, 2011. "Evacuation dynamics with fire spreading based on cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(18), pages 3147-3156.
    8. 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.
    9. 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).
    10. Haghani, Milad & Sarvi, Majid & Shahhoseini, Zahra, 2019. "When ‘push’ does not come to ‘shove’: Revisiting ‘faster is slower’ in collective egress of human crowds," Transportation Research Part A: Policy and Practice, Elsevier, vol. 122(C), pages 51-69.
    11. Song, Weiguo & Xu, Xuan & Wang, Bing-Hong & Ni, Shunjiang, 2006. "Simulation of evacuation processes using a multi-grid model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 492-500.
    12. 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).
    13. Li, Yongxing & Yang, Xiaoxia & Wang, Zijia & Chen, Liang & Chen, Yanyan, 2022. "Lane-design for mixed pedestrian flow in T-shaped passage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    14. 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.
    15. Kayvan Aghabayk & Kiarash Radmehr & Nirajan Shiwakoti, 2020. "Effect of Intersecting Angle on Pedestrian Crowd Flow under Normal and Evacuation Conditions," Sustainability, MDPI, vol. 12(4), pages 1-16, February.
    16. Zhao, Yongxiang & Zhang, H.M., 2017. "A unified follow-the-leader model for vehicle, bicycle and pedestrian traffic," Transportation Research Part B: Methodological, Elsevier, vol. 105(C), pages 315-327.

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