{
  "annotation_id": "a46a647d-a7a1-4bc1-9d20-014cdbc4f8b6",
  "date_created": "2026-03-02T18:01:14.980000Z",
  "date_modified": "2026-03-02T18:01:14.980000Z",
  "file_hash": "229ed90bbf186d44f79037d606908195be840d9c94b8ab561e865e2a02f7cdb9",
  "private": false,
  "record": {
    "abstract": "We present and discuss the development of an unconditionally stable algorithm\nused to solve the evolution equations of the Phase Field Crystal (PFC) model.\nThis algorithm allows for an arbitrarily large algorithmic time step. As the\nbasis for our analysis of the accuracy of this algorithm, we determine an\neffective time step in Fourier space. We then compare our calculations with a\nset of representative numerical results, and demonstrate that this algorithm is\nan effective approach for the study of the PFC models, yielding a time step\neffectively 180 times larger than the Euler algorithm for a representative set\nof material parameters. As the PFC model is just a simple example of a wide\nclass of density functional theories, we expect this method will have wide\napplicability to modeling systems of considerable interest to the materials\nmodeling communities.",
    "arxiv_id": "physics/0611243",
    "authors": [
      "Mowei Cheng",
      "James A. Warren"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "doi": "10.1016/j.jcp.2008.03.012",
    "journal_ref": "J. Comput. Phys. 227, 6241 (2008).",
    "title": "An Efficient Algorithm for Solving the Phase Field Crystal Model",
    "url": "https://arxiv.org/abs/physics/0611243"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "323c4022-1296-4993-a931-5fe2d37d84d0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}