{
  "annotation_id": "28f1c168-321c-4706-af9a-1089d7b32365",
  "date_created": "2026-03-02T18:01:13.935000Z",
  "date_modified": "2026-03-02T18:01:13.935000Z",
  "file_hash": "75b8a416544f4db0086e58ebdc28b8991718bf6022cb37687e8e1ba87362e397",
  "private": false,
  "record": {
    "abstract": "The macro-to-micro transition in a heterogeneous material is envisaged as the\nselection of a probability distribution by the Principle of Maximum Entropy\n(MAXENT). The material is made of constituents, e.g. given crystal\norientations. Each constituent is itself made of a large number of elementary\nconstituents. The relevant probability is the volume fraction of the elementary\nconstituents that belong to a given constituent and undergo a given stimulus.\nAssuming only obvious constraints in MAXENT means describing a maximally\ndisordered material. This is proved to have the same average stimulus in each\nconstituent. By adding a constraint in MAXENT, a new model, potentially\ninteresting e.g. for texture prediction, is obtained.",
    "arxiv_id": "physics/0611227",
    "authors": [
      "Mayeul Arminjon",
      "Didier Imbault"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "journal_ref": "Zeitschrift f\\\"ur angewandte Mathematik und Mechanik 80 (2000)\n  Suppl. No. 1, pp. 13-16",
    "title": "Maximum entropy principle and texture formation",
    "url": "https://arxiv.org/abs/physics/0611227"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7d3b72cf-774a-4210-a99c-e6ee2508cde8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}