论文标题
聚集在两种相互作用的电动机中
Clustering in two models of interacting motors
论文作者
论文摘要
我们研究了两个物种的双向排除过程，以及一个单个物种变体，该变体是由细胞器和囊泡沿微管运动的动机。具体而言，我们对单个大集群的颗粒和外观的聚类感兴趣，因为翻译与切换速率的比例$ q $是不同的。我们发现，尽管对于有限的系统，但存在一种聚类现象，其中发现单个大集群的概率从可忽略不计变为具有有限值的可能性，但随着系统大小的增加，现象会转移到较大的$ q $值。这表明观察到的聚类不是热力学意义上的真实（非平衡）过渡，而是有限尺寸的效果。
We study a two-species bidirectional exclusion process, and a single species variant, which is motivated by the motion of organelles and vesicles along microtubules. Specifically, we are interested in the clustering of the particles and appearance of a single large cluster as the ratio $Q$ of the translation to switching rates is varied. We find that, although for a finite system, there is a clustering phenomenon in which the probability of finding a single large cluster changes from being negligible to having finite values, the phenomenon shifts to larger $Q$ values as the system size is increased. This suggests that the observed clustering is not a true (nonequilibrium) transition in the thermodynamic sense but rather a finite-size effect.
