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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

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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.

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Authors and Affiliations

  1. Department of Advanced Interdisciplinary Studies, Graduate School of Engineering, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, 153-8904, Tokyo, Japan

    Shingo Ichiki

  2. Research Center for Advanced Science and Technology, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, 153-8904, Tokyo, Japan

    Jun Sato & Katsuhiro Nishinari

  3. Department of Aeronautics and Astronautics, Graduate School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, 113-8656, Tokyo, Japan

    Katsuhiro Nishinari

Authors
  1. Shingo Ichiki
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  2. Jun Sato
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  3. Katsuhiro Nishinari
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Correspondence to Shingo Ichiki.

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Ichiki, S., Sato, J. & Nishinari, K. Totally asymmetric simple exclusion process on a periodic lattice with Langmuir kinetics depending on the occupancy of the forward neighboring site. Eur. Phys. J. B 89, 135 (2016). https://doi.org/10.1140/epjb/e2016-70192-5

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  • DOI: https://doi.org/10.1140/epjb/e2016-70192-5

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