Asymmetric coupling in two-channel simple exclusion processes
Asymmetric coupling in two-channel simple exclusion processes
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DOI：
10.1016/j.physa.2006.05.006
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发表时间：
2006-02
影响因子：
3.3
通讯作者：
E. Pronina;A. Kolomeisky
中科院分区：
文献类型：
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作者：
E. Pronina;A. Kolomeisky
理论上研究了粒子沿着两个平行晶格移动并在它们之间跳跃的简单排除过程，以了解通道之间的不对称跃迁速率。采用近似理论方法来计算稳态密度分布、电流和相图，该方法精确描述两个平行位点的任何垂直簇中的粒子动力学，并忽略不同垂直簇之间的相关性。令人惊讶的是，我们发现通道之间耦合的不对称性会导致非常复杂的相行为，这与对称耦合的两通道简单排除过程非常不同。简单排除过程中有七个稳态相，通道之间的转换率不对称，而对称耦合系统则有三个相。此外，还观察到在晶格中间具有畴壁的新的最大电流相，这在其他排除过程中没有类似物。尽管仅针对完全不对称的情况给出了显式计算，但当粒子只能在一个方向上在通道之间跳跃时，还讨论了具有一般不对称性的双通道简单排除系统的性质。理论预测与广泛的计算机蒙特卡罗模拟非常一致。
Simple exclusion processes for particles moving along two parallel lattices and jumping between them are theoretically investigated for asymmetric rates of transition between the channels. An approximate theoretical approach, that describes the particle dynamics exactly in any vertical cluster of two parallel sites and neglects the correlations between the different vertical clusters, is applied to calculate stationary-state density profiles, currents and phase diagrams. Surprisingly, it is found that asymmetry in the coupling between the channels leads to a very complex phase behavior that is very different from two-channel simple exclusion processes with symmetric coupling. There are seven stationary-state phases in the simple exclusion processes with asymmetric transition rates between the channels, in contrast to three phases found for the systems with symmetric coupling. In addition, a new maximal-current phase with a domain wall in the middle of the lattices, that has no analogs in other exclusion processes, is observed. Although the explicit calculations are presented only for the case of full asymmetry, when the particles can only jump between the channels in one direction, the properties of two-channel simple exclusion systems with general asymmetry are also discussed. Theoretical predictions are in excellent agreement with extensive computer Monte Carlo simulations.