多路二维晶格上层叠动力学的临界行为
Critical behaviors of cascading dynamics on multiplex two-dimensional lattices
AI总结：
本研究通过数值模拟分析多路二维晶格中存活簇的临界现象，发现激活级联（CA）与失活级联（CD）过程的巨型存活簇临界行为不同，CA符合单层键渗流、CD符合多路互渗流，并通过鬼场计算磁化率揭示二者生成存活簇的差异。
摘要：
我们通过数值模拟研究了多路二维晶格中存活簇的临界现象。我们使用两种级联算法（激活级联CA和失活级联CD）识别多路晶格上的存活位点，发现CA和CD过程识别的巨型存活簇表现出不同的临界行为：CA过程的临界现象与单层普通键渗流一致，而CD过程的临界行为与多路晶格上的互渗流一致。此外，我们利用鬼场概念计算了级联动力学的磁化率，结果表明CA和CD过程以不同方式生成存活簇。
英文摘要：
We study the critical phenomena of viable clusters in multiplex two-dimensional lattices using numerical simulations. We identify viable sites on multiplex lattices using two cascading algorithms: the cascade of activations (CA) and deactivations (CD). We found that the giant viable clusters identified by CA and CD processes exhibit different critical behaviors. Specifically, the critical phenomena of CA processes are consistent with the ordinary bond percolation on a single layer but CD processes exhibit the critical behaviors consistent with mutual percolation on multiplex lattices. In addition, we computed the susceptibility of cascading dynamics by using the concept of ghost field. Our results suggest that the CA and CD processes generate viable clusters in different ways.
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