{
  "annotation_id": "8c3c2374-ee28-42ef-94af-2872fdf77bf2",
  "date_created": "2026-03-02T18:01:10.862000Z",
  "date_modified": "2026-03-02T18:01:10.862000Z",
  "file_hash": "7da128d1fd9383f3478b882115e13295284356d0fef694b01c70b37adcb136d6",
  "private": false,
  "record": {
    "abstract": "We model information traffic on scale-free networks by introducing the node\nqueue length L proportional to the node degree and its delivering ability C\nproportional to L. The simulation gives the overall capacity of the traffic\nsystem, which is quantified by a phase transition from free flow to congestion.\nIt is found that the maximal capacity of the system results from the case of\nthe local routing coefficient \\phi slightly larger than zero, and we provide an\nanalysis for the optimal value of \\phi. In addition, we report for the first\ntime the fundamental diagram of flow against density, in which hysteresis is\nfound, and thus we can classify the traffic flow with four states: free flow,\nsaturated flow, bistable, and jammed.",
    "arxiv_id": "physics/0609131",
    "authors": [
      "Mao-Bin Hu",
      "Wen-Xu Wang",
      "Rui Jiang",
      "Qing-Song Wu",
      "Yong-Hong Wu"
    ],
    "categories": [
      "physics.data-an"
    ],
    "doi": "10.1103/PhysRevE.75.027101",
    "journal_ref": "Phys. Rev. E 75, 036102(2007)",
    "title": "Phase transition and hysteresis in scale-free network traffic",
    "url": "https://arxiv.org/abs/physics/0609131"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ac4b3a8b-2e8f-4fbf-94de-628e1afbf531",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}