Chen Fuxing, Fang Ping, Li Liangsheng, You Wen-Long, Liu Maoxin
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China.
Science and Technology on Electromagnetic Scattering Laboratory, Beijing 100854, China.
Phys Rev E. 2022 Jun;105(6-1):064116. doi: 10.1103/PhysRevE.105.064116.
We study the explosive percolation with k-mer random sequential adsorption (RSA) process. We consider both the Achlioptas process (AP) and the inverse Achlioptas process (IAP), in which giant cluster formation is prohibited and accelerated, respectively. By employing finite-size scaling analysis, we confirm that the percolation transitions are continuous, and thus we calculate the percolation threshold and critical exponents. This allows us to determine the universality class of the k-mer explosive percolation transition. Interestingly, the numerical simulation suggests that the universality class of the explosive percolation transition with the AP alters when the k-mer size changes. In contrast, the universality class of the transition with the IAP is independent of k, but it differs from that of the RSA without the IAP.
我们研究了具有k聚体随机顺序吸附（RSA）过程的爆发性渗流。我们考虑了阿赫利奥普塔斯过程（AP）和逆阿赫利奥普塔斯过程（IAP），在这两个过程中，巨型簇的形成分别被禁止和加速。通过采用有限尺寸标度分析，我们证实渗流转变是连续的，因此我们计算了渗流阈值和临界指数。这使我们能够确定k聚体爆发性渗流转变的普适类。有趣的是，数值模拟表明，当k聚体尺寸变化时，具有AP的爆发性渗流转变的普适类会改变。相比之下，具有IAP的转变的普适类与k无关，但它与没有IAP的RSA的普适类不同。
