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Theoretical investigation of the synchronous totally asymmetric simple exclusion process with a roundabout

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Abstract

The roundabout in a one-dimensional system is studied employing the synchronous totally asymmetric simple exclusion process. At special sites far from boundaries, particles can attach to and detach from the system irreversibly with respective probabilities p and q. When the system is in a steady station, seven stationary phases are possible. The results of simulations agree well with analytical calculations. The stable state of the low-density/maximal-current/high-density phase corresponds to a critical point and may transfer to six other phases.

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Acknowledgments

The authors acknowledge support from the 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

    X. Chen, Y. Zhang & S. Xiao

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

    Y. Liu

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  1. X. Chen
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  2. Y. Zhang
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  3. Y. Liu
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  4. S. Xiao
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Correspondence to S. Xiao.

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Chen, X., Zhang, Y., Liu, Y. et al. Theoretical investigation of the synchronous totally asymmetric simple exclusion process with a roundabout. Indian J Phys 91, 191–196 (2017). https://doi.org/10.1007/s12648-016-0914-x

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  • DOI: https://doi.org/10.1007/s12648-016-0914-x

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