How does degree heterogeneity affect an order-disorder transition?
| dc.creator | Lambiotte, R. | |
| dc.date | 2007-02-09 | |
| dc.date | 2007-04-17 | |
| dc.date.accessioned | 2026-07-07T08:09:32Z | |
| dc.date.available | 2026-07-07T08:09:32Z | |
| dc.description | We focus on the role played by the node degree distribution on the way collective phenomena emerge on complex networks. To address this question, we focus analytically on a typical model for cooperative behaviour, the Majority Rule, applied to dichotomous networks. The latter are composed of two kinds of nodes, each kind $i$ being characterized by a degree $k_i$. Dichotomous networks are therefore a simple instance of heterogeneous networks, especially adapted in order to reveal the effect of degree heterogeneity. Our main result are that degree heterogeneity affects the location of the order-disorder transition and that the system exhibits non-equipartition of the average opinion between the two kinds of nodes. This effect is observed in the ordered phase and in the disordered phase. | |
| dc.description | 5 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/physics/0702077 | |
| dc.identifier | http://arxiv.org/abs/physics/0702077 | |
| dc.identifier | EPL, 78 (2007) 68002 | |
| dc.identifier | doi:10.1209/0295-5075/78/68002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131567 | |
| dc.subject | Physics and Society | |
| dc.title | How does degree heterogeneity affect an order-disorder transition? | |
| dc.type | text |