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Re-appearance of phases in the phase diagram of asymmetrically coupled two-lane exclusion process

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  • Verma, Atul Kumar
  • N.C, Priyanka

Abstract

Inspired by the finite resources in transport systems, we propose a two-lane totally asymmetric simple exclusion process model with attachment, detachment, and a limited supply of particles. We use a generalized mean-field theory in collaboration with a finite difference scheme and boundary layer analysis to evaluate the significance of limited resources in our proposed system. The outcomes are verified using Monte Carlo simulations. The steady-state behavior of the system is determined using phase diagrams, density profiles, and phase transitions. The study reports a novel phenomenon in which a phase occupies two different regions far from each other in the phase diagrams for an intermediate value of the total number of particles in the system. We also observe unique single and multiple re-entrance transitions, double shock, and varied new mixed phases, leading to bulk-induced phase transitions as exciting findings in the present study.

Suggested Citation

  • Verma, Atul Kumar & N.C, Priyanka, 2023. "Re-appearance of phases in the phase diagram of asymmetrically coupled two-lane exclusion process," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010159
    DOI: 10.1016/j.chaos.2023.114114
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    References listed on IDEAS

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    1. Gupta, Arvind Kumar & Dhiman, Isha, 2013. "Coupling of two asymmetric exclusion processes with open boundaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6314-6329.
    2. Jiang, Rui & Wang, Ruili & Wu, Qing-Song, 2007. "Two-lane totally asymmetric exclusion processes with particle creation and annihilation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 247-256.
    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.
    4. 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.
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