Sandpiles on multiplex networks

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 $\tau =3/2$ 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.

7 pages, 7 figures

References in corpus (5)

• Multirelational Organization of Large-scale Social Networks in an Online World
• Sandpile on Scale-Free Networks
• Impact of the topology of global macroeconomic network on the spreading of economic crises
• Sandpile avalanche dynamics on scale-free networks
• Synchronization in interdependent networks

Cited by in corpus (10)

• The structure and dynamics of multilayer networks
• Multiplexity-facilitated cascades in networks
• Towards real-world complexity: an introduction to multiplex networks
• Link overlap, viability, and mutual percolation in multiplex networks
• Percolation on interacting, antagonistic networks
• Controlling Self-Organizing Dynamics on Networks Using Models that Self-Organize
• Multilayer Network Science: from Cells to Societies
• A Bottom-Up Model of Self-Organized Criticality on Networks
• Some Properties of Sandpile Models as Prototype of Self-Organized Critical Systems
• Analysis and Optimization of Robustness in Multiplex Flow Networks Against Cascading Failures