Critical behaviors of cascading dynamics on multiplex two-dimensional lattices

Autor:	Choi, Jeehye, Min, Byungjoon, Goh, K. -I.
Rok vydání:	2023
Předmět:	Condensed Matter - Statistical Mechanics Physics - Physics and Society
Druh dokumentu:	Working Paper
DOI:	10.1007/s40042-023-00765-2
Popis:	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. Comment: 6 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.02576 Zobrazit plný text záznamu View this record from Arxiv