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Totally asymmetric simple exclusion process on a periodic lattice with Langmuir kinetics depending on the occupancy of the forward neighboring site

Author

Listed:
  • Shingo Ichiki

    (Graduate School of Engineering, The University of Tokyo)

  • Jun Sato

    (Research Center for Advanced Science and Technology, The University of Tokyo)

  • Katsuhiro Nishinari

    (Research Center for Advanced Science and Technology, The University of Tokyo
    Graduate School of Engineering, The University of Tokyo)

Abstract

We generalize the totally asymmetric simple exclusion process with Langmuir kinetics on a periodic lattice. In the extended model, the rates of attachment and detachment depend on the occupancy of the forward neighboring site. Using a mean-field theory, we obtain the analytical expression of the density profile in the steady state and the relaxation dynamics in our model. We verify their accuracy by comparing the results with Monte Carlo simulations.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:5:d:10.1140_epjb_e2016-70192-5
    DOI: 10.1140/epjb/e2016-70192-5
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    Cited by:

    1. 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).
    2. S, Tamizhazhagan & Sharma, Natasha & Verma, Atul Kumar, 2023. "Asymmetrically coupled two lane totally asymmetric simple exclusion process with extended Langmuir kinetics," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

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    Keywords

    Statistical and Nonlinear Physics;

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