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Symmetric Coupling Two-Channel System with Different Hopping Rates

  • KINETICS AND MECHANISM OF CHEMICAL REACTIONS, CATALYSIS
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Abstract

The symmetric coupling two-channel totally asymmetric simple exclusion process (TASEP) for particles with arbitrary hopping rates is theoretically investigated. It is found that the phase diagrams include three stationary state phases, which is similar to the normal TASEP. When the particles on both lanes have the same hopping rates, the phase diagrams depend on the hopping rate, and their boundaries are linearly related to the square of the hopping rate. In the case of different hopping rates, the square of the average hopping rate of both lanes determines the phase diagrams. Notably, the system of different hopping rates can be replaced by the system of the same hopping rate. The hopping rate of the new system is equal to the average hopping rate of the original system. The theoretical predictions can be checked by extensive Monte Carlo simulation, and the results are in good agreement.

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ACKNOWLEDGMENTS

Authors acknowledge the support of Item sponsored by Shandong Provincial National Foundation, China (Grant no. ZR2020MG019) and National Natural Science Foundation of China (Grant no. 51568032).

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Authors and Affiliations

  1. School of Materials Science and Engineering, Linyi University, 276000, Linyi, China

    B. Huang, X. Ma, Z. Zhu & S. Xiao

  2. School of Resources and Environment, Linyi University, 276000, Linyi, China

    B. Huang

  3. School of Mechanical and Vehicle Engineering, Linyi University, 276000, Linyi, China

    X. Chen & X. Cui

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  1. B. Huang
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  2. X. Chen
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  3. X. Cui
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  4. X. Ma
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  5. Z. Zhu
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Correspondence to S. Xiao.

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Huang, B., Chen, X., Cui, X. et al. Symmetric Coupling Two-Channel System with Different Hopping Rates. Russ. J. Phys. Chem. B 17, 896–902 (2023). https://doi.org/10.1134/S1990793123040073

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  • DOI: https://doi.org/10.1134/S1990793123040073

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