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Strong Asymmetric Coupling of Two Parallel Exclusion Processes: Effect of Unequal Injection Rates

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Abstract

In this letter, strong asymmetric coupling of two parallel exclusion processes: effect of unequal injection rates will be investigated. It is a generalization of the work of Xiao et al. (Phys. Lett. A 8, 374 (2009)), in which the particles only move on two lanes with rate 1 toward right. We can obtain the diverse phase diagram and density profiles of the system. The vertical cluster mean-field approach and extensively Monte Carlo simulations are used to study the system, and theoretical predictions are in excellent agreement with simulation results.

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Acknowledgments

Authors acknowledge the support of Item sponsored by National Natural Science Foundation (Grant No. 51568032 and 21301079).

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Authors and Affiliations

  1. Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming, 650093, China

    Song Xiao, Peng Dong & Yingjie Zhang

  2. Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming, 650500, China

    Yanna Liu

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  1. Song Xiao
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  2. Peng Dong
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  3. Yingjie Zhang
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  4. Yanna Liu
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Correspondence to Yanna Liu.

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Xiao, S., Dong, P., Zhang, Y. et al. Strong Asymmetric Coupling of Two Parallel Exclusion Processes: Effect of Unequal Injection Rates. Int J Theor Phys 55, 1642–1651 (2016). https://doi.org/10.1007/s10773-015-2801-1

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  • DOI: https://doi.org/10.1007/s10773-015-2801-1

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