dorsal/arxiv
View SchemaHow does degree heterogeneity affect an order-disorder transition?
| Authors | R. Lambiotte |
|---|---|
| Categories | |
| ArXiv ID | physics/0702077 |
| URL | https://arxiv.org/abs/physics/0702077 |
| DOI | 10.1209/0295-5075/78/68002 |
| Journal | EPL, 78 (2007) 68002 |
Abstract
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.
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"abstract": "We focus on the role played by the node degree distribution on the way\ncollective phenomena emerge on complex networks. To address this question, we\nfocus analytically on a typical model for cooperative behaviour, the Majority\nRule, applied to dichotomous networks. The latter are composed of two kinds of\nnodes, each kind $i$ being characterized by a degree $k_i$. Dichotomous\nnetworks are therefore a simple instance of heterogeneous networks, especially\nadapted in order to reveal the effect of degree heterogeneity. Our main result\nare that degree heterogeneity affects the location of the order-disorder\ntransition and that the system exhibits non-equipartition of the average\nopinion between the two kinds of nodes. This effect is observed in the ordered\nphase and in the disordered phase.",
"arxiv_id": "physics/0702077",
"authors": [
"R. Lambiotte"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1209/0295-5075/78/68002",
"journal_ref": "EPL, 78 (2007) 68002",
"title": "How does degree heterogeneity affect an order-disorder transition?",
"url": "https://arxiv.org/abs/physics/0702077"
},
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