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Totally asymmetric exclusion processes at constrained m-input n-output junction points |
| Li Shao-Da (李少达)a b, Liu Ming-Zhe (刘明哲)a, Pei Xiang-Jun (裴向军)a |
a State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, China;
b College of Earth Sciences, Chengdu University of Technology, Chengdu 610059, China |
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Abstract Totally asymmetric exclusion processes at constrained m-input n-output junction points under random update are studied by theoretical calculation and computer simulation in this paper. At the junction points, the hopping rate of particles from m-input parallel lattices to n-output parallel lattices is assumed to be equal to r/n (0 < r < 1). The mean-field approach and Monte Carlo simulations show that the phase diagram can be classified into three regions at any value of r. More interestingly, there is a threshold rc = n( 1-√1-m/n)/m. In the cases of r > rc and r < rc, qualitatively different phases exist in the system. With the increase of the value of m/n, the regions of (LD, LD) and (MC, LD) or (HD, LD) decrease, and the (HD, HD) is the only phase that increases in the region (LD stands for low density, HD stands for high density, and MC for maximal current). Stationary current and density profiles are calculated, showing that they are in good agreement with Monte Carlo simulations.
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Received: 28 September 2012
Revised: 06 November 2012
Accepted manuscript online:
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PACS:
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05.70.Ln
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(Nonequilibrium and irreversible thermodynamics)
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02.50.Ey
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(Stochastic processes)
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05.60.Cd
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(Classical transport)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 41274109), the Special Fund of the State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, China (Grant No. 2011Z006), the Scientific and Technological Support Program of Sichuan Province, China (Grant Nos. 2013FZ0021 and 2013FZ0022), and the Creative Team Program of Chengdu University of Technology, China (Grant No. KYTD201301). |
Corresponding Authors:
Liu Ming-Zhe
E-mail: liumz@cdut.edu.cn
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Cite this article:
Li Shao-Da (李少达), Liu Ming-Zhe (刘明哲), Pei Xiang-Jun (裴向军) Totally asymmetric exclusion processes at constrained m-input n-output junction points 2013 Chin. Phys. B 22 060512
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