{
  "annotation_id": "6e02a144-ecbf-4ec9-a8d6-9173db1722f0",
  "date_created": "2026-02-17T05:53:12.072000Z",
  "date_modified": "2026-02-17T05:53:12.072000Z",
  "file_hash": "9ad92c8a5574a063ecc6b8bef9ad4e1bc07056d5d2cc086ce3f9f932497627a2",
  "private": false,
  "record": {
    "abstract": "We present a phase-field approximation of sharp-interface energies defined on partitions, designed for modeling grain boundaries in polycrystals. The independent variable takes values in the orthogonal group $\\mathrm{O}(d)$ modulo a lattice point group $\\mathcal{G}$, reflecting the crystallographic symmetries of the underlying lattice. In the sharp-interface limit, the surface energy exhibits a Read-Shockley-type behavior for small misorientation angles, scaling as $\\theta|\\log\\theta|$. The regularized functionals are applicable to grain growth simulation and the reconstruction of grain boundaries from imaging data.",
    "arxiv_id": "2601.07497",
    "authors": [
      "Sergio Conti",
      "Vito Crismale",
      "Adriana Garroni",
      "Annalisa Malusa"
    ],
    "categories": [
      "math.FA",
      "cond-mat.mtrl-sci"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Phase-field approximation of sharp-interface energies accounting for lattice symmetry",
    "url": "https://arxiv.org/abs/2601.07497",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "47a5e10a-0779-495b-8b58-243a5a63e25e",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}