Critical behaviors of cascading dynamics on multiplex two-dimensional lattices

Jeehye Choi, Byungjoon Min, K. I. Goh

Research output: Contribution to journalArticlepeer-review


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 using the concept of ghost field. Our results suggest that the CA and CD processes generate viable clusters in different ways.

Original languageEnglish
Pages (from-to)1216-1221
Number of pages6
JournalJournal of the Korean Physical Society
Issue number12
Publication statusPublished - 2023 Jun

Bibliographical note

Publisher Copyright:
© 2023, The Korean Physical Society.


  • Cascading
  • Critical phenomena
  • Multiplex lattices

ASJC Scopus subject areas

  • General Physics and Astronomy


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