TOTALLY ASYMMETRIC EXCLUSION PROCESSES ON LATTICES WITH A BRANCHING POINT

Xiong Wang, Rui Jiang (), Mao-Bin Hu, Katsuhiro Nishinari and Qing-Song Wu
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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;
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

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 12, 1999-2012

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

Keywords: TASEP; mean-field approximation; phase diagram (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014886

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