Choi K, Choi Wonjun, Kahng B
CCSS, CTP, Department of Physics and Astronomy, Seoul National University, Seoul 08826, South Korea.
Chaos. 2021 May;31(5):053128. doi: 10.1063/5.0049220.
Percolation transition (PT) means the formation of a macroscopic-scale large cluster, which exhibits a continuous transition. However, when the growth of large clusters is globally suppressed, the type of PT is changed to a discontinuous transition for random networks. A question arises as to whether the type of PT is also changed for scale-free (SF) network, because the existence of hubs incites the formation of a giant cluster. Here, we apply a global suppression rule to the static model for SF networks and investigate properties of the PT. We find that even for SF networks with the degree exponent 2<λ<3, a hybrid PT occurs at a finite transition point t, which we can control by the suppression strength. The order parameter jumps at t and exhibits a critical behavior at t .
渗流转变（PT）意味着形成一个宏观尺度的大簇，它呈现出连续转变。然而，当大簇的生长在全局上受到抑制时，对于随机网络，PT的类型会转变为不连续转变。一个问题出现了，即对于无标度（SF）网络，PT的类型是否也会改变，因为枢纽的存在促使了巨型簇的形成。在这里，我们将全局抑制规则应用于SF网络的静态模型，并研究PT的性质。我们发现，即使对于度指数为2<λ<3的SF网络，在一个有限的转变点t处也会出现混合PT，我们可以通过抑制强度来控制这个点。序参量在t处跳跃，并在t处表现出临界行为。
