Diffusion Dynamics on Multiplex Networks
Abstract
We study the time scales associated with diffusion processes that take place on multiplex networks, i.e., on a set of networks linked through interconnected layers. To this end, we propose the construction of a supraLaplacian matrix, which consists of a dimensional lifting of the Laplacian matrix of each layer of the multiplex network. We use perturbative analysis to reveal analytically the structure of eigenvectors and eigenvalues of the complete network in terms of the spectral properties of the individual layers. The spectrum of the supraLaplacian allows us to understand the physics of diffusionlike processes on top of multiplex networks.
 Publication:

Physical Review Letters
 Pub Date:
 January 2013
 DOI:
 10.1103/PhysRevLett.110.028701
 arXiv:
 arXiv:1207.2788
 Bibcode:
 2013PhRvL.110b8701G
 Keywords:

 89.75.Hc;
 89.20.a;
 89.75.Kd;
 Networks and genealogical trees;
 Interdisciplinary applications of physics;
 Patterns;
 Physics  Physics and Society;
 Condensed Matter  Statistical Mechanics;
 Computer Science  Social and Information Networks
 EPrint:
 6 Pages including supplemental material. To appear in Physical Review Letters