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Asymmetrically coupled two lane totally asymmetric simple exclusion process with extended Langmuir kinetics

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  • S, Tamizhazhagan
  • Sharma, Natasha
  • Verma, Atul Kumar

Abstract

The proposed study is motivated by the transport phenomena where the particle hopping, attachment, and detachment dynamics rely on the occupancy state of the corresponding site on another lane. To depict this kind of scenario, we consider an open two-lane Totally Asymmetric Simple Exclusion Process with the presence of asymmetrically coupled and extended Langmuir kinetics regulations. We have analyzed the steady-state properties of the system by calculating characteristics including phase diagrams, density profiles, phase transitions, and finite size effect. The theoretical results are captured by utilizing the framework of a mean-field theory, and it is recognized that numerical findings match closely with the Monte Carlo simulation outcomes.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000309
    DOI: 10.1016/j.chaos.2023.113129
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    References listed on IDEAS

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    1. 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.
    2. Ruili Wang & Rui Jiang & Mingzhe Liu & Jiming Liu & Qing-Song Wu, 2007. "Effects Of Langmuir Kinetics On Two-Lane Totally Asymmetric Exclusion Processes Of Molecular Motor Traffic," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(09), pages 1483-1496.
    3. Pronina, Ekaterina & Kolomeisky, Anatoly B., 2006. "Asymmetric coupling in two-channel simple exclusion processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(1), pages 12-21.
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