{
  "annotation_id": "b4b83f56-721f-459f-a341-b65d6bb82d7a",
  "date_created": "2026-03-02T18:01:11.090000Z",
  "date_modified": "2026-03-02T18:01:11.090000Z",
  "file_hash": "6b146a0b54cdf55f60be9d0db0bc0664d030d654a3230d7ce7ffe7cb23018165",
  "private": false,
  "record": {
    "abstract": "For some models of relevance in the social sciences we review some examples\nin which system size plays an important role in the final outcome of the\ndynamics. We discuss the conditions under which changes of behavior can appear\nonly when the number of agents in the model takes a finite value. Those changes\nof behavior can be related to the apparent phase transitions that appear in\nsome physical models. We show examples in the Galam\u0027s model of opinion\ntransmission and the Axelrod\u0027s model of culture formation stressing the role\nthat the network of interactions has on the main results of both models.\nFinally, we present the phenomenon of system-size stochastic resonance by which\na forcing signal (identified as an advertising agent) is optimally amplified by\na population of the right (intermediate) size. Our work stresses the role that\nthe system size has in the dynamics of social systems and the inappropriateness\nof taking the thermodynamic limit for these systems.",
    "arxiv_id": "physics/0607252",
    "authors": [
      "Raul Toral",
      "Claudio J. Tessone"
    ],
    "categories": [
      "physics.soc-ph"
    ],
    "journal_ref": "Communications in Computational Physics, Vol. 2, No. 2, pp.\n  177-195 (2007)",
    "title": "Finite size effects in the dynamics of opinion formation",
    "url": "https://arxiv.org/abs/physics/0607252"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "480a0c0d-b2ed-4d17-95f1-7f59b6f2422c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}