Effect of unequal injection rates on asymmetric exclusion processes with junction |
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Authors: | Xiao Song Liu Ming-Zhe Wang Jian-Jun and Wang Hua |
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Institution: | Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China; College of Nuclear Technology and Automation Engineering, Chengdu University of Technology, Chengdu 610059, China |
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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 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. |
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Keywords: | totally asymmetric simple exclusion process mean-field approach Monte Carlo simulations junction |
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