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Traffic flow: a statistical physics point of view

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  • Schadschneider, Andreas

Abstract

The investigation of traffic flow problems has a long tradition and various methods and approaches have been applied. In this review we focus on statistical mechanics and nonequilibrium aspects. It is shown that many properties of traffic flow can be modelled successfully by using rather simple cellular automaton models. Analytical methods for the investigation of discrete models are presented in some detail. Apart from highway traffic, also the modelling of city traffic and pedestrian dynamics will be discussed.

Suggested Citation

  • Schadschneider, Andreas, 2002. "Traffic flow: a statistical physics point of view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(1), pages 153-187.
    • Handle: RePEc:eee:phsmap:v:313:y:2002:i:1:p:153-187
    DOI: 10.1016/S0378-4371(02)01036-1
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    Citations

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    Cited by:

    1. Ren, Gang & Jiang, Hang & Chen, Jingxu & Huang, Zhengfeng & Lu, Lili, 2016. "Heterogeneous cellular automata model for straight-through bicycle traffic at signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 70-83.
    2. Martinez-Perdiguero, Josu, 2020. "Fermion-like behavior of elements/agents in their spatial distribution around points of interest," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    3. Garg, Shaweta & Dhiman, Isha, 2020. "Two-channel totally asymmetric simple exclusion process with site-wise dynamic disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    4. Sun, Yi, 2020. "Kinetic Monte Carlo simulations of bi-direction pedestrian flow with different walk speeds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    5. Bhatia, Nikhil & Gupta, Arvind Kumar, 2023. "Role of site-wise dynamic defects in a resource-constrained exclusion process," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    6. Tamang, Nutthavuth & Sun, Yi, 2023. "Application of the dynamic Monte Carlo method to pedestrian evacuation dynamics," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    7. Cheng, Wangjun & Zhang, Peng & Zhu, Huibing & Shen, Xiang & Ye, Luting, 2023. "Analysis of construction area’s impacts on traffic flow: A case study on Hangzhou Bay Bridge in China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).
    8. Pal, Bipasha & Gupta, Arvind Kumar, 2022. "Non-conserving exclusion process with a dynamic obstacle," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    9. Chen, Jing & Lin, Lan & Jiang, Rui, 2017. "Assigning on-ramp flows to maximize capacity of highway with two on-ramps and one off-ramp in between," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 347-357.
    10. Daniela Santilli & Mauro D’Apuzzo & Azzurra Evangelisti & Vittorio Nicolosi, 2021. "Towards Sustainability: New Tools for Planning Urban Pedestrian Mobility," Sustainability, MDPI, vol. 13(16), pages 1-17, August.
    11. Sun, Yi, 2018. "Kinetic Monte Carlo simulations of two-dimensional pedestrian flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 836-847.
    12. Liu, Hongjie & Yuan, Tengfei & Zeng, Xiaoqing & Guo, KaiYi & Wang, Yizeng & Mo, Yanghui & Xu, Hongzhe, 2024. "Eco-driving strategy for connected automated vehicles in mixed traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    13. Wen Huan Ai & Ming Ming Wang & Da Wei Liu, 2024. "Saddle-node bifurcation control of macroscopic traffic flow model considering vehicle braking effect," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(5), pages 1-13, May.
    14. Linesch, Nicholas J. & D’Souza, Raissa M., 2008. "Periodic states, local effects and coexistence in the BML traffic jam model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6170-6176.
    15. Yang, Da & Jin, Peter (Jing) & Pu, Yun & Ran, Bin, 2014. "Stability analysis of the mixed traffic flow of cars and trucks using heterogeneous optimal velocity car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 371-383.
    16. Sun, Yi, 2019. "Simulations of bi-direction pedestrian flow using kinetic Monte Carlo methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 519-531.
    17. Yue, Hao & Hao, Herui & Chen, Xiaoming & Shao, Chunfu, 2007. "Simulation of pedestrian flow on square lattice based on cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 567-588.
    18. Kong, Dewen & Sun, Lishan & Li, Jia & Xu, Yan, 2021. "Modeling cars and trucks in the heterogeneous traffic based on car–truck combination effect using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    19. Zheng, Zuduo, 2014. "Recent developments and research needs in modeling lane changing," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 16-32.
    20. Rong, Ying & Wen, Huiying, 2018. "Non-lane-discipline-based car-following model under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 278-293.

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