Effect of unequal injection rates on asymmetric exclusion processes with junction

doi:10.1088/1674-1056/20/6/060509

中国物理B ›› 2011, Vol. 20 ›› Issue (6): 60509-060509.doi: 10.1088/1674-1056/20/6/060509

Effect of unequal injection rates on asymmetric exclusion processes with junction

刘明哲¹, 肖松², 王建军², 王华²

(1)College of Nuclear Technology and Automation Engineering, Chengdu University of Technology, Chengdu 610059, China; (2)Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China

收稿日期:2010-03-04 修回日期:2010-12-13 出版日期:2011-06-15 发布日期:2011-06-15
基金资助:
Project supported by the National Scientiˉc and Technological Support Project of China (Grant No. 2006BAE 03A 00).

Effect of unequal injection rates on asymmetric exclusion processes with junction

Xiao Song(肖松)^a), Liu Ming-Zhe(刘明哲)^b)†, Wang Jian-Jun(王建军)^a), and Wang Hua(王华)^a)

^a Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China; ^b College of Nuclear Technology and Automation Engineering, Chengdu University of Technology, Chengdu 610059, China

Received:2010-03-04 Revised:2010-12-13 Online:2011-06-15 Published:2011-06-15
Supported by:
Project supported by the National Scientiˉc and Technological Support Project of China (Grant No. 2006BAE 03A 00).

摘要/Abstract

摘要： In this paper, we investigate the effect of unequal injection rates on totally asymmetric simple exclusion processes (TASEPs) with a 2-input 1-output junction and parallel update. A mean-field approach is developed to deal with the junction that connects two sub-chains and the single main chain. We obtain the stationary particle currents, density profiles and phase diagrams. Interestingly, we find that the number of stationary-state phases is changeable depending on the value of α₁ (α₁ is the injection rate on the first sub-chain). When α₁ > 1/3, there are seven stationary-state phases in the system, however when α₁< 1/3, only six stationary-state phases exist in the system. The theoretical calculations are shown to be in agreement with Monte Carlo simulations.

关键词: totally asymmetric simple exclusion process, mean-field approach, Monte Carlo simulations, junction

Abstract: In this paper, we investigate the effect of unequal injection rates on totally asymmetric simple exclusion processes (TASEPs) with a 2-input 1-output junction and parallel update. A mean-field approach is developed to deal with the junction that connects two sub-chains and the single main chain. We obtain the stationary particle currents, density profiles and phase diagrams. Interestingly, we find that the number of stationary-state phases is changeable depending on the value of $\alpha_1$ ($\alpha_1$ is the injection rate on the first sub-chain). When $\alpha_1$ > 1/3, there are seven stationary-state phases in the system, however when $\alpha_1$ < 1/3, only six stationary-state phases exist in the system. The theoretical calculations are shown to be in agreement with Monte Carlo simulations.

Key words: totally asymmetric simple exclusion process, mean-field approach, Monte Carlo simulations, junction

中图分类号: (Nonequilibrium and irreversible thermodynamics)

05.70.Ln

02.50.Ey (Stochastic processes) 05.60.Cd (Classical transport)

肖松, 刘明哲, 王建军, 王华. Effect of unequal injection rates on asymmetric exclusion processes with junction[J]. 中国物理B, 2011, 20(6): 60509-060509.

Xiao Song(肖松), Liu Ming-Zhe(刘明哲), Wang Jian-Jun(王建军), and Wang Hua(王华). Effect of unequal injection rates on asymmetric exclusion processes with junction[J]. Chin. Phys. B, 2011, 20(6): 60509-060509.

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Effect of unequal injection rates on asymmetric exclusion processes with junction

Effect of unequal injection rates on asymmetric exclusion processes with junction

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