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Totally Asymmetric Exclusion Processes On Lattices With A Branching Point

Author

Listed:
  • XIONG WANG

    (School of Engineering Science, University of Science and Technology of China, Hefei 230026, China)

  • RUI JIANG

    (School of Engineering Science, University of Science and Technology of China, Hefei 230026, China;
    Department of Aeronautics and Astronautics, School of Engineering, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan)

  • MAO-BIN HU

    (School of Engineering Science, University of Science and Technology of China, Hefei 230026, China)

  • KATSUHIRO NISHINARI

    (Department of Aeronautics and Astronautics, School of Engineering, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan)

  • QING-SONG WU

    (School of Engineering Science, University of Science and Technology of China, Hefei 230026, China)

Abstract

We study totally asymmetric simple exclusion process (TASEP) where particles move on a single-chain lattice which diverges into two parallel lattice branches. At the branching point, the particles move to one of the two branches with equal rater/2. The phase diagram and density profiles are investigated by using mean-field approximation and Monte Carlo simulations. It is found that the phase diagram can be classified into three regions at any value ofr. However, a threshold$r_c =2 -\sqrt{2}$is identified. In cases ofr > rcandr

Suggested Citation

  • Xiong Wang & Rui Jiang & Mao-Bin Hu & Katsuhiro Nishinari & Qing-Song Wu, 2009. "Totally Asymmetric Exclusion Processes On Lattices With A Branching Point," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(12), pages 1999-2012.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:12:n:s0129183109014886
    DOI: 10.1142/S0129183109014886
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