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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DOI：
10.1088/1674-1056/20/6/060509
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发表时间：
2011-06
影响因子：
1.7
通讯作者：
肖松;刘明哲;王建军;王华
中科院分区：
文献类型：
--
作者：
肖松;刘明哲;王建军;王华
本文研究了不均匀注入速率对具有2输入1输出结和并行更新的完全不对称简单不相容过程（TASEPs）的影响。提出了一种平均场方法来处理连接两个子链和单个主链的连接点。我们得到了静止粒子电流、密度分布和相图。有趣的是，我们发现稳态相的数量随α1的值而变化（α1为第一子链的注入速率）。当α1 > 1/3时，系统中存在7个稳态相，而当α1 < 1/3时，系统中只存在6个稳态相。理论计算结果与蒙特卡罗模拟结果一致。
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.