Journal of the Korean Physical Society

, Volume 60, Issue 4, pp 641–647 | Cite as

Sandpiles on multiplex networks

  • Kyu-Min Lee
  • K. -I. Goh
  • I. -M. Kim


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.


Multiplex networks Sandpiles Cascading failure 


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Copyright information

© The Korean Physical Society 2012

Authors and Affiliations

  1. 1.Department of Physics and Institute of Basic ScienceKorea UniversitySeoulKorea

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