{
  "annotation_id": "86554cf7-40f8-4a8d-9b6e-fc8b64e96d9d",
  "date_created": "2026-03-02T18:00:52.893000Z",
  "date_modified": "2026-03-02T18:00:52.893000Z",
  "file_hash": "543c8984cb8d70c5bfa8dd790a0fa219486f266f75ccfb56527db4c109689bca",
  "private": false,
  "record": {
    "abstract": "The critical points of the two-layer Ising and Potts models for square\nlattice have been calculated with high precision using probabilistic cellular\nautomata (PCA) with Glauber algorithm. The critical temperature is calculated\nfor the isotropic and symmetric case (Kx=Ky=Kz=K), where Kx and Ky are the\nnearest-neighbor interactions within each layer in the x and y directions,\nrespectively, and Kz is the interlayer coupling. The obtained results are 0.310\nand 0.726 for two-layer Ising and Potts models, respectively, that are in good\nagreement with the accurate values reported by others.",
    "arxiv_id": "physics/0411241",
    "authors": [
      "Yazdan Asgari",
      "Mehrdad Ghaemi",
      "Mohammad Ghasem Mahjani"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.chem-ph"
    ],
    "journal_ref": "Lecture Notes in Computer Science, 2004, 3305, 709-718",
    "title": "Calculation of The Critical Point for Two-Layer Ising and Potts Models   Using Cellular Automata",
    "url": "https://arxiv.org/abs/physics/0411241"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "11ae4d0e-7928-4bbd-b62b-efe4d4696e89",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}