Abstract
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 language | English |
|---|---|
| Pages (from-to) | 641-647 |
| Number of pages | 7 |
| Journal | Journal of the Korean Physical Society |
| Volume | 60 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2012 Feb 1 |
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Keywords
- Cascading failure
- Multiplex networks
- Sandpiles
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Sandpiles on multiplex networks. / Lee, Kyu Min; Goh, Kwang-Il; Kim, I. M.
In: Journal of the Korean Physical Society, Vol. 60, No. 4, 01.02.2012, p. 641-647.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Sandpiles on multiplex networks
AU - Lee, Kyu Min
AU - Goh, Kwang-Il
AU - Kim, I. M.
PY - 2012/2/1
Y1 - 2012/2/1
N2 - 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.
AB - 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.
KW - Cascading failure
KW - Multiplex networks
KW - Sandpiles
UR - http://www.scopus.com/inward/record.url?scp=84860607061&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84860607061&partnerID=8YFLogxK
U2 - 10.3938/jkps.60.641
DO - 10.3938/jkps.60.641
M3 - Article
AN - SCOPUS:84860607061
VL - 60
SP - 641
EP - 647
JO - Journal of the Korean Physical Society
JF - Journal of the Korean Physical Society
SN - 0374-4884
IS - 4
ER -