Sandpiles on multiplex networks

Kyu Min Lee, K. I. Goh, I. M. Kim

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


We introduce the sandpile model on multiplex networks with more than one type of edge and investigate its scaling and dynamical behaviors. We find that the introduction of multiplexity does not alter the scaling behavior of avalanche dynamics; the system is critical with an asymptotic power-law avalanche size distribution with an exponent τ = 3/2 on duplex random networks. The detailed cascade dynamics, however, is affected by the multiplex coupling. For example, higher-degree nodes such as hubs in scale-free networks fail more often in the multiplex dynamics than in the simplex network counterpart in which different types of edges are simply aggregated. Our results suggest that multiplex modeling would be necessary in order to gain a better understanding of cascading failure phenomena of real-world multiplex complex systems, such as the global economic crisis.

Original languageEnglish
Pages (from-to)641-647
Number of pages7
JournalJournal of the Korean Physical Society
Issue number4
Publication statusPublished - 2012 Feb

Bibliographical note

Funding Information:
This work was supported in part by Mid-career Researcher Program (No. 2009-0080801) and Basic Science Research Program (No. 2011-0014191) through NRF grants funded by the MEST. K-ML is supported in part by Global Ph.D. Fellowship Program (No. 2011-0007174) through NRF, MEST.


  • Cascading failure
  • Multiplex networks
  • Sandpiles

ASJC Scopus subject areas

  • General Physics and Astronomy


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