Effect of unequal injection rates and different hopping rates on asymmetric exclusion processes with junction

doi:10.1088/1674-1056/19/9/090202

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90202-090202.doi: 10.1088/1674-1056/19/9/090202

Effect of unequal injection rates and different hopping rates on asymmetric exclusion processes with junction

刘明哲¹, 肖松², 蔡九菊², 刘飞²

(1)Institute of Information and Mathematical Sciences, Massey University at Auckland, New Zealand; (2)State Environmental Protection Administration (SEPA) Key Laboratory on Eco-Industry, Northeastern University, Shenyang 110004, China

收稿日期:2009-12-02 修回日期:2010-02-21 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
Project supported by the National Scientific and Technological Support Project, China (Grant No. 2006BAE03A00).

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

Received:2009-12-02 Revised:2010-02-21 Online:2010-09-15 Published:2010-09-15
Supported by:
Project supported by the National Scientific and Technological Support Project, China (Grant No. 2006BAE03A00).

摘要/Abstract

摘要： 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.

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.

Key words: asymmetric simple exclusion processes, mean-field approximation, junction, different hopping rates

中图分类号:

0250

肖松, 蔡九菊, 刘飞, 刘明哲. Effect of unequal injection rates and different hopping rates on asymmetric exclusion processes with junction[J]. 中国物理B, 2010, 19(9): 90202-090202.

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[J]. Chin. Phys. B, 2010, 19(9): 90202-090202.

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Effect of unequal injection rates and different hopping rates on asymmetric exclusion processes with junction

Effect of unequal injection rates and different hopping rates on asymmetric exclusion processes with junction

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