{
  "annotation_id": "7ea4f8f9-da36-481d-ace8-a00a255a40ce",
  "date_created": "2026-03-02T18:00:29.404000Z",
  "date_modified": "2026-03-02T18:00:29.404000Z",
  "file_hash": "a7af13afd05a68c4475037a561147ed508cf47e3df5843b2eec6af0c4a41fcd0",
  "private": false,
  "record": {
    "abstract": "Convection in horizontal layers of binary fluids heated from below and in\nparticular the influence of the Soret effect on the bifurcation properties of\nextended stationary and traveling patterns that occur for negative Soret\ncoupling is investigated theoretically. The fixed points corresponding to these\ntwo convection structures are determined for realistic boundary conditions with\na many mode Galerkin scheme for temperature and concentration and an accurate\none mode truncation of the velocity field. This solution procedure yields the\nstable and unstable solutions for all stationary and traveling patterns so that\ncomplete phase diagrams for the different convection types in typical binary\nliquid mixtures can easily be computed. Also the transition from weakly to\nstrongly nonlinear states can be analyzed in detail. An investigation of the\nconcentration current and of the relevance of its constituents shows the way\nfor a simplification of the mode representation of temperature and\nconcentration field as well as for an analytically manageable few mode\ndescription.",
    "arxiv_id": "patt-sol/9805001",
    "authors": [
      "St. Hollinger",
      "M. Luecke"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.57.4238",
    "journal_ref": "Phys. Rev. E 57, 4238-4249 (1998)",
    "title": "Influence of the Soret effect on convection of binary fluids",
    "url": "https://arxiv.org/abs/patt-sol/9805001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7aa3e6c1-dcad-4754-8aee-cd1ea56c1821",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}