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Steady-state dynamics of an inhomogeneous two-channel TASEP with Langmuir kinetics

Author

Listed:
  • Isha Dhiman

    (School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab, India)

  • Arvind Kumar Gupta

    (Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar 140001, Punjab, India)

Abstract

The steady-state dynamics of a two-channel TASEP coupled with Langmuir kinetics in the presence of a localized bottleneck are investigated under a fully asymmetric lane-changing rule. A hybrid mean-field approach is adopted to generate the density profiles as well as phase diagrams. The effect of lane-changing rate and strength of bottleneck on the stationary dynamics of the system has also been investigated. It is observed that an increase in lane-changing rate weakens the effect of bottleneck. As a part of studying the shock dynamics, we have identified and analyzed turning effect in the movement of shock with respect to lane-changing rate. Our theoretical arguments are in good agreement with extensively performed Monte-Carlo simulations.

Suggested Citation

  • 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.
  • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:04:n:s0129183118500377
    DOI: 10.1142/S0129183118500377
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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 & Verma, Atul Kumar, 2022. "Reentrance transition in two lane bidirectional transport system with bottlenecks," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    3. Gupta, Ankita & Gupta, Arvind Kumar, 2024. "Reservoir crowding in a dynamically disordered bidirectional system with narrow entrances," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    4. Pal, Bipasha & Gupta, Arvind Kumar, 2021. "Reservoir crowding in a totally asymmetric simple exclusion process with Langmuir kinetics," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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