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Phase transition at an on-ramp in the Nagel–Schreckenberg traffic flow model

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  • Jiang, Rui
  • Wu, Qing-Song

Abstract

Recent empirical observations show that traffic flow is related to various phase transitions, especially at bottlenecks. This paper studies traffic flow induced by an on-ramp in the Nagel–Schreckenberg model. It is shown that when considering the situation that vehicles on main road and on-ramp interact in a relatively long road section, first-order phase transition from free flow to congested flow occurs. In contrast, it is second-order phase transition from free flow to congested flow if the interaction road section is short. We have investigated the reason why first-order phase transition occurs. The interaction of vehicles may be viewed as a kind of cooperation behavior of drivers. Therefore, our results indicate that in future traffic flow research, investigation on cooperation behavior should be carried out.

Suggested Citation

  • Jiang, Rui & Wu, Qing-Song, 2006. "Phase transition at an on-ramp in the Nagel–Schreckenberg traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 523-529.
    • Handle: RePEc:eee:phsmap:v:366:y:2006:i:c:p:523-529
    DOI: 10.1016/j.physa.2005.10.026
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    Cited by:

    1. Mei, Yiru & Zhao, Xiaoqun & Qian, Yeqing & Xu, Shangzhi & Li, Zhipeng, 2021. "Effect of self-stabilizing control in lattice hydrodynamic model with on-ramp and off-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    2. Changtao-Jiang, & Rongjun-Cheng, & Hongxia-Ge,, 2019. "Mean-field flow difference model with consideration of on-ramp and off-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 465-476.

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