{
  "annotation_id": "68d16f35-1d41-4798-9c55-2b97f9158e57",
  "date_created": "2026-03-02T18:01:06.541000Z",
  "date_modified": "2026-03-02T18:01:06.541000Z",
  "file_hash": "417a6cfc232c939a5b9c7a845b43460359cdee547cf46896b2e441ddb2ca29f2",
  "private": false,
  "record": {
    "abstract": "The thermodynamic approach of concentration mapping is used to discover\ncommunities in the directional friendship network of LiveJournal users. We show\nthat this Internet-based social network has a power-law region in degree\ndistribution with exponent \\gamma = 3.45. It is also a small-world network with\nhigh clustering of nodes. To study the community structure we simulate\ndiffusion of a virtual substance immersed in such a network as in a\nmulti-dimensional porous system. By analyzing concentration profiles at\nintermediate stage of the diffusion process the well-interconnected cliques of\nusers can be identified as nodes with equal values of concentration.",
    "arxiv_id": "physics/0602063",
    "authors": [
      "Pavel Zakharov"
    ],
    "categories": [
      "physics.soc-ph",
      "physics.data-an"
    ],
    "doi": "10.1016/j.physa.2006.11.086",
    "title": "Thermodynamic approach for community discovering within the complex   networks: LiveJournal study",
    "url": "https://arxiv.org/abs/physics/0602063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3b3e3a58-6d89-43c6-8090-814444c8ab27",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}