| Texto completo | |
| Autor(es): |
Mendez-Bermudez, J. A.
;
Alcazar-Lopez, A.
;
Martinez-Mendoza, A. J.
;
Rodrigues, Francisco A.
;
Peron, Thomas K. D. M.
Número total de Autores: 5
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PHYSICAL REVIEW E; v. 91, n. 3, p. 10-pg., 2015-03-13. |
| Resumo | |
By the use of extensive numerical simulations, we show that the nearest-neighbor energy-level spacing distribution P(s) and the entropic eigenfunction localization length of the adjacency matrices of Erdos-Renyi (ER) fully random networks are universal for fixed average degree xi = alpha N (alpha and N being the average network connectivity and the network size, respectively). We also demonstrate that the Brody distribution characterizes well P(s) in the transition from alpha = 0, when the vertices in the network are isolated, to alpha = 1, when the network is fully connected. Moreover, we explore the validity of our findings when relaxing the randomness of our network model and show that, in contrast to standard ER networks, ER networks with diagonal disorder also show universality. Finally, we also discuss the spectral and eigenfunction properties of small-world networks. (AU) | |
| Processo FAPESP: | 11/50761-2 - Modelos e métodos de e-Science para ciências da vida e agrárias |
| Beneficiário: | Roberto Marcondes Cesar Junior |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 13/26416-9 - Modelagem de processos dinâmicos em redes complexas |
| Beneficiário: | Francisco Aparecido Rodrigues |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 12/22160-7 - Sincronização de Osciladores de Kuramoto em Redes Complexas |
| Beneficiário: | Thomas Kaue Dal Maso Peron |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |