dorsal/arxiv
View SchemaCoexistence of opposite opinions in a network with communities
| Authors | R. Lambiotte, M. Ausloos |
|---|---|
| Categories | |
| ArXiv ID | physics/0703266 |
| URL | https://arxiv.org/abs/physics/0703266 |
| DOI | 10.1088/1742-5468/2007/08/P08026 |
| Journal | J. Stat. Mech. (2007) P08026 |
Abstract
The Majority Rule is applied to a topology that consists of two coupled random networks, thereby mimicking the modular structure observed in social networks. We calculate analytically the asymptotic behaviour of the model and derive a phase diagram that depends on the frequency of random opinion flips and on the inter-connectivity between the two communities. It is shown that three regimes may take place: a disordered regime, where no collective phenomena takes place; a symmetric regime, where the nodes in both communities reach the same average opinion; an asymmetric regime, where the nodes in each community reach an opposite average opinion. The transition from the asymmetric regime to the symmetric regime is shown to be discontinuous.
{
"annotation_id": "cdabd363-da84-45ac-a9ed-442de0b5ad1c",
"date_created": "2026-03-02T18:01:17.571000Z",
"date_modified": "2026-03-02T18:01:17.571000Z",
"file_hash": "5fdbb5415566f2814685b9a6f81087ef5d4874f47741c324bb34cde68414e5f9",
"private": false,
"record": {
"abstract": "The Majority Rule is applied to a topology that consists of two coupled\nrandom networks, thereby mimicking the modular structure observed in social\nnetworks. We calculate analytically the asymptotic behaviour of the model and\nderive a phase diagram that depends on the frequency of random opinion flips\nand on the inter-connectivity between the two communities. It is shown that\nthree regimes may take place: a disordered regime, where no collective\nphenomena takes place; a symmetric regime, where the nodes in both communities\nreach the same average opinion; an asymmetric regime, where the nodes in each\ncommunity reach an opposite average opinion. The transition from the asymmetric\nregime to the symmetric regime is shown to be discontinuous.",
"arxiv_id": "physics/0703266",
"authors": [
"R. Lambiotte",
"M. Ausloos"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1088/1742-5468/2007/08/P08026",
"journal_ref": "J. Stat. Mech. (2007) P08026",
"title": "Coexistence of opposite opinions in a network with communities",
"url": "https://arxiv.org/abs/physics/0703266"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "aa12324c-97f8-47e1-85c7-a2e7f96a728c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}