%0 Journal Article %1 Lee2012Sandpiles %A Lee, Kyu-Min %A Goh, K. . %A Kim, I. . %D 2012 %J Journal of the Korean Physical Society %K granular\_matter, multiplex-networks %N 4 %P 641--647 %R 10.3938/jkps.60.641 %T Sandpiles on multiplex networks %U http://dx.doi.org/10.3938/jkps.60.641 %V 60 %X We introduce the sandpile model on multiplex networks with more than one type of edges 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 the asymptotic power-law avalanche size distribution with exponent \$= 3/2\$ on duplex random networks. 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 better understanding of cascading failure phenomena of real-world multiplex complex systems, such as the global economic crisis.

@article{Lee2012Sandpiles, abstract = {{We introduce the sandpile model on multiplex networks with more than one type of edges 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 the asymptotic power-law avalanche size distribution with exponent \$\tau = 3/2\$ on duplex random networks. 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 better understanding of cascading failure phenomena of real-world multiplex complex systems, such as the global economic crisis.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Lee, Kyu-Min and Goh, K. . and Kim, I. .}, biburl = {https://www.bibsonomy.org/bibtex/2951547fabfd44026f34973053be1a333/nonancourt}, citeulike-article-id = {10103683}, citeulike-linkout-0 = {http://dx.doi.org/10.3938/jkps.60.641}, citeulike-linkout-1 = {http://arxiv.org/abs/1112.0387}, citeulike-linkout-2 = {http://arxiv.org/pdf/1112.0387}, day = 23, doi = {10.3938/jkps.60.641}, eprint = {1112.0387}, interhash = {9e09a05cad697c4ebcdc0f91f1aac017}, intrahash = {951547fabfd44026f34973053be1a333}, issn = {1976-8524}, journal = {Journal of the Korean Physical Society}, keywords = {granular\_matter, multiplex-networks}, month = feb, number = 4, pages = {641--647}, posted-at = {2011-12-07 16:39:11}, priority = {2}, timestamp = {2019-06-10T14:53:09.000+0200}, title = {{Sandpiles on multiplex networks}}, url = {http://dx.doi.org/10.3938/jkps.60.641}, volume = 60, year = 2012 }