{
  "annotation_id": "5c008071-2ada-4091-9553-0f22953f0ae0",
  "date_created": "2026-03-02T18:01:17.635000Z",
  "date_modified": "2026-03-02T18:01:17.635000Z",
  "file_hash": "c9616f66205815bd7d080c71b337ffd344e61e54267fa93812f56de4204d1ac9",
  "private": false,
  "record": {
    "abstract": "Understanding how opinions spread through a community or how consensus\nemerges in noisy environments can have a significant impact on our\ncomprehension of social relations among individuals. In this work a model for\nthe dynamics of opinion formation is introduced. The model is based on a\nnonlinear interaction between opinion vectors of agents plus a stochastic\nvariable to account for the effect of noise in the way the agents communicate.\nThe dynamics presented is able to generate rich dynamical patterns of\ninteracting groups or clusters of agents with the same opinion without a leader\nor centralized control. Our results show that by increasing the intensity of\nnoise, the system goes from consensus to a disordered state. Depending on the\nnumber of competing opinions and the details of the network of interactions,\nthe system displays a first- or a second-order transition. We compare the\nbehavior of different topologies of interactions: one-dimensional chains, and\nannealed and complex networks.",
    "arxiv_id": "physics/0701169",
    "authors": [
      "V. Schwammle",
      "M. C. Gonzalez",
      "A. A. Moreira",
      "J. S. Jr. Andrade",
      "H. J. Herrmann"
    ],
    "categories": [
      "physics.soc-ph",
      "physics.comp-ph"
    ],
    "doi": "10.1103/PhysRevE.75.066108",
    "journal_ref": "Phys. Rev. E 75, 066108 (2007)",
    "title": "Different topologies for a herding model of opinion",
    "url": "https://arxiv.org/abs/physics/0701169"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "41eaba96-5001-4b9f-9270-83d9a6804022",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}