Diffusion dynamics on multiplex networks

Gomez, S. ; Diaz-Guilera, A. ; Gomez-Gardenes, J. (Universidad de Zaragoza) ; Perez-Vicente, C. J. ; Moreno, Y. (Universidad de Zaragoza) ; Arenas ,A.

Resumen: 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 supra-Laplacian 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 supra-Laplacian allows us to understand the physics of diffusionlike processes on top of multiplex networks.

Idioma: Inglés

DOI: 10.1103/PhysRevLett.110.028701

Año: 2013

Publicado en: Physical Review Letters 110, 2 (2013), 028701 [5 pp]
ISSN: 0031-9007

Factor impacto JCR: 7.728 (2013)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 6 / 78 = 0.077 (2013) - Q1 - T1

Financiación: info:eu-repo/grantAgreement/EC/FP7/317614/EU/Mathematical framework for multiplex networks/PLEXMATH
Financiación: info:eu-repo/grantAgreement/EC/FP7/318132/EU/multi-LAyer SpAtiotemporal Generalized NEtworks/LASAGNE
Financiación: info:eu-repo/grantAgreement/ES/MICINN/FIS2009-13364-C02-01
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2008-01240
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2009-13730-C02-02
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2009-13848

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)
Área (Departamento): Área Física Materia Condensada (Dpto. Física Materia Condensa.)