IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v29y2018i04ns0129183118500377.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183118500377
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183118500377?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:04:n:s0129183118500377. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.