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Analytical investigation on totally asymmetric simple exclusion process with Langmuir kinetics and a parallel update with two sub-steps

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  • Hao, Qing-Yi
  • Jiang, Rui
  • Hu, Mao-Bin
  • Wu, Chao-Yun
  • Guo, Ning

Abstract

Motivated by the fact that parallel update rules need to be employed to study the traffic dynamic of vehicles and pedestrians with bulk on-off ramps. This paper studies the totally asymmetric simple exclusion process (TASEP) with Langmuir kinetics and a parallel update with two sub-steps. Moreover, this new model can be analyzed analytically. Based on the mean-field method, the phase diagrams are obtained and the influences of model parameters are investigated. Compared to the system under the random update, there do not exist the phases related to the maximum current phase and Meissner phase in the system under the parallel update.

Suggested Citation

  • Hao, Qing-Yi & Jiang, Rui & Hu, Mao-Bin & Wu, Chao-Yun & Guo, Ning, 2022. "Analytical investigation on totally asymmetric simple exclusion process with Langmuir kinetics and a parallel update with two sub-steps," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s096007792200443x
    DOI: 10.1016/j.chaos.2022.112233
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    References listed on IDEAS

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    1. Wang, Ruili & Liu, Mingzhe & Jiang, Rui, 2008. "Local inhomogeneity in two-lane asymmetric simple exclusion processes coupled with Langmuir kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 457-466.
    2. Hongyun Wang & George Oster, 1998. "Energy transduction in the F1 motor of ATP synthase," Nature, Nature, vol. 396(6708), pages 279-282, November.
    3. Rui Jiang & Mao-Bin Hu & Qing-Song Wu & Wei-Guo Song, 2017. "Traffic Dynamics of Bicycle Flow: Experiment and Modeling," Transportation Science, INFORMS, vol. 51(3), pages 998-1008, August.
    4. Isha Dhiman & Arvind Kumar Gupta, 2018. "Steady-state dynamics of an inhomogeneous two-channel TASEP with Langmuir kinetics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-20, April.
    5. Shingo Ichiki & Jun Sato & Katsuhiro Nishinari, 2016. "Totally asymmetric simple exclusion process on a periodic lattice with Langmuir kinetics depending on the occupancy of the forward neighboring site," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(5), pages 1-5, May.
    6. Timothy Elston & Hongyun Wang & George Oster, 1998. "Energy transduction in ATP synthase," Nature, Nature, vol. 391(6666), pages 510-513, January.
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    Cited by:

    1. 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).

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