{
  "annotation_id": "a6061b51-d7d8-4fcf-95ef-98a5d4d797e8",
  "date_created": "2026-03-02T18:01:14.204000Z",
  "date_modified": "2026-03-02T18:01:14.204000Z",
  "file_hash": "adb80416ff6ea0479ada370f19244099bf4a9761ac5fbf111d2e0f00123581d0",
  "private": false,
  "record": {
    "abstract": "We investigate the network model of community by Watts, Dodds and Newman (D.\nJ. Watts et al., Science 296 (2002) 1302) as a hierarchy of groups, each of 5\nindividuals. A homophily parameter $\\alpha$ controls the probability\nproportional to $\\exp(-\\alpha x)$ of selection of neighbours against distance\n$x$. The network nodes are endowed with spin-like variables $s_i = \\pm 1$, with\nIsing interaction $J\u003e0$. The Glauber dynamics is used to investigate the\norder-disorder transition. The transition temperature $T_c$ is close to 3.8 for\n$\\alpha \u003c 0.0$ and it falls down to zero above this value. The result provides\na mathematical illustration of the social ability to a collective action {\\it\nvia} weak ties, as discussed by Granovetter in 1973.",
    "arxiv_id": "physics/0611153",
    "authors": [
      "M. Woloszyn",
      "D. Stauffer",
      "K. Kulakowski"
    ],
    "categories": [
      "physics.soc-ph",
      "physics.comp-ph"
    ],
    "doi": "10.1140/epjb/e2007-00169-4",
    "journal_ref": "Eur. Phys. J. B 57 (2007) 331",
    "title": "Order-disorder phase transition in a cliquey social network",
    "url": "https://arxiv.org/abs/physics/0611153"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e7ff21f-8ed9-4425-a8bc-83c66d391f23",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}