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Effect of unequal injection rates and different hopping rates on asymmetric exclusion processes with junction |
Xiao Song(肖松)a), Cai Jiu-Ju(蔡九菊)a), Liu Fei(刘飞)a), and Liu Ming-Zhe(刘明哲)b)† |
a State Environmental Protection Administration (SEPA) Key Laboratory on Eco-Industry, Northeastern University, Shenyang 110004, China; b Institute of Information and Mathematical Sciences, Massey University at Auckland, New Zealand |
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Abstract In this paper, the effects of unequal injection rates and different hopping rates on the asymmetric simple exclusion process (ASEP) with a 2-input 1-output junction are studied by using a simple mean-field approach and extensive computer simulations. The steady-state particle currents, the density profiles, and the phase diagrams are obtained. It is shown that with unequal injection rates and different hopping rates, the phase diagram structure is qualitatively changed. The theoretical calculations are in good agreement with Monte Carlo simulations.
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Received: 02 December 2009
Revised: 21 February 2010
Accepted manuscript online:
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Fund: Project supported by the National Scientific and Technological Support Project, China (Grant No. 2006BAE03A00). |
Cite this article:
Xiao Song(肖松), Cai Jiu-Ju(蔡九菊), Liu Fei(刘飞), and Liu Ming-Zhe(刘明哲) Effect of unequal injection rates and different hopping rates on asymmetric exclusion processes with junction 2010 Chin. Phys. B 19 090202
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