We study the totally asymmetric simple exclusion process on multiplex networks, which consist of a fixed set of vertices (junctions) connected by different types of links (segments). In particular, we assume that there are two types of segments corresponding to two different values of hopping rate of particles (larger hopping rate indicates particles move with higher speed on the segments). By simple mean-field analysis and extensive simulations, we find that, at the intermediate values of particle density, the global current (a quantity that is related to the number of hops per unit time) drops and then rises slightly as the fraction of low-speed segments increases. The rise in the global current is a counterintuitive phenomenon that cannot be observed in high or low particle density regions. The reason lies in the bimodal distribution of segment densities, which is caused by the high-speed segments.

中文翻译：

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复用网络上的完全不对称简单排除过程。

我们研究了复用网络上完全不对称的简单排除过程，该过程由一组固定的顶点（结）组成，这些顶点由不同类型的链接（段）连接。特别是，我们假设存在两种类型的线段，分别对应于粒子的两个不同跳跃率值（较大的跳跃率表示粒子在这些线段上以较高速度运动）。通过简单的平均场分析和广泛的模拟，我们发现，在粒子密度的中间值处，全局电流（与单位时间的跃点数相关的量）下降，然后随着低分数的增加而略有上升速度段增加。总电流的增加是一种违反直觉的现象，在高或低粒子密度区域中无法观察到。