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Asymmetric coupling in two-channel simple exclusion processes

Author

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  • Pronina, Ekaterina
  • Kolomeisky, Anatoly B.

Abstract

Simple exclusion processes for particles moving along two parallel lattices and jumping between them are theoretically investigated for asymmetric rates of transition between the channels. An approximate theoretical approach, that describes the particle dynamics exactly in any vertical cluster of two parallel sites and neglects the correlations between the different vertical clusters, is applied to calculate stationary-state density profiles, currents and phase diagrams. Surprisingly, it is found that asymmetry in the coupling between the channels leads to a very complex phase behavior that is very different from two-channel simple exclusion processes with symmetric coupling. There are seven stationary-state phases in the simple exclusion processes with asymmetric transition rates between the channels, in contrast to three phases found for the systems with symmetric coupling. In addition, a new maximal-current phase with a domain wall in the middle of the lattices, that has no analogs in other exclusion processes, is observed. Although the explicit calculations are presented only for the case of full asymmetry, when the particles can only jump between the channels in one direction, the properties of two-channel simple exclusion systems with general asymmetry are also discussed. Theoretical predictions are in excellent agreement with extensive computer Monte Carlo simulations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:372:y:2006:i:1:p:12-21
    DOI: 10.1016/j.physa.2006.05.006
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    Citations

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    Cited by:

    1. 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).
    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. Bhatia, Nikhil & Gupta, Arvind Kumar, 2023. "Role of site-wise dynamic defects in a resource-constrained exclusion process," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    4. Dong, Yuming & Jia, Xiaolu & Yanagisawa, Daichi & Nagahama, Akihito & Nishinari, Katsuhiro, 2022. "Optimization of transition behaviors in a two-lane system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P2).
    5. Sharma, Natasha & Midha, Tripti & Gupta, Arvind Kumar, 2019. "Interactive dynamics controlling symmetry breaking in bidirectional transport systems with narrow entrances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 412-425.
    6. 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).

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