{
  "annotation_id": "e0a955b9-573b-4ee8-abd8-d72ba5949bac",
  "date_created": "2026-03-02T18:00:46.975000Z",
  "date_modified": "2026-03-02T18:00:46.975000Z",
  "file_hash": "9bb69f1a97e4d041e1b74e9149084d691521ba9f348d3352a648edf3c3a734de",
  "private": false,
  "record": {
    "abstract": "In this Note a social network model for opinion formation is proposed in\nwhich a person connected to $q$ partners pays an {\\em attention} $1/q$ to each\npartner. The mutual attention between two connected persons $i$ and $j$ is\ntaken equal to the geometric mean $1/\\sqrt{q_iq_j}$. Opinion is represented as\nusual by an Ising spin $s=\\pm 1$ and mutual attention is given through a\ntwo-spin coupling $J_{ij} = J Q/\\sqrt{q_iq_j}$, $Q$ being the average\nconnectivity in the network. Connectivity diminishes attention and only persons\nwith low connectivity can pay special attention to each other leading to a\ndurable common (or opposing) opinion. The model is solved in \"mean-field\"\napproximation and a critical \"temperature\" $T_c$ proportional to $JQ$ is found,\nwhich is independent of the number of persons $N$, for large $N$.",
    "arxiv_id": "physics/0310113",
    "authors": [
      "J. O. Indekeu"
    ],
    "categories": [
      "physics.soc-ph"
    ],
    "doi": "10.1016/j.physa.2003.10.081",
    "title": "Special Attention Network",
    "url": "https://arxiv.org/abs/physics/0310113"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f499c5cd-c2f4-4f93-bd68-92c6db402612",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}