Two-channel totally asymmetric simple exclusion process with Langmuir kinetics: The role of coupling constant
Two-channel totally asymmetric simple exclusion process with Langmuir kinetics: The role of coupling constant
复制标题
朗缪尔动力学的两通道完全不对称简单排除过程：耦合常数的作用
DOI：
10.1209/0295-5075/107/20007
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
A. Gupta
中科院分区：
文献类型：
--
作者：
I. Dhiman;A. Gupta
在这封信中，我们研究了耦合两通道完全不对称简单排除过程的动力学，其中颗粒大量附着和分离。引入了表示换道率之比的耦合常数C，并分析了不同C值下系统的稳态动力学。在连续平均场方程上使用奇异摄动技术来构建相图，并用C对所有可能的换道率阶数进行了表征。研究发现，对于换道率较低的阶次，C 的影响较小；而对于更高阶的效果则更为显着。确定了一个临界值，高于该值时会观察到某些相的消失和出现。此外，还发生同步冲击。我们还分析了系统规模对蒙特卡罗模拟结果的影响。我们的理论论证与蒙特卡罗模拟结果非常一致。
In this letter, we study the dynamics of a coupled two-channel totally asymmetric simple exclusion process with particle attachment and detachment in the bulk. The coupling constant C, which signifies the ratio of lane-changing rates, is introduced and the steady-state dynamics of the system are analyzed for different values of C. Singular perturbation technique is used on continuum mean-field equations to construct the phase diagrams, which have been characterized in terms of C for all possible orders of lane-changing rates. It is found that for lower orders of lane-changing rates, the effect of C is minor; while the effect is significant for higher orders. A critical value of is identified, above which the disappearance as well as the appearance of certain phases is observed. Moreover, synchronization of shocks also occurs for . We have also analyzed the effect of the system size on the Monte Carlo simulation results. Our theoretical arguments are in good agreement with Monte Carlo simulation results.