{
  "annotation_id": "2ead2767-38ca-4185-83da-39a71b9def41",
  "date_created": "2026-03-02T18:00:28.163000Z",
  "date_modified": "2026-03-02T18:00:28.163000Z",
  "file_hash": "4a17d0aa027c0be23cbed1ae992118de4d8e682f1093e72dda02b5140d903857",
  "private": false,
  "record": {
    "abstract": "A mesoscopic or coarse-grained approach is presented to study\nthermo-capillary induced flows. An order parameter representation of a\ntwo-phase binary fluid is used in which the interfacial region separating the\nphases naturally occupies a transition zone of small width. The order parameter\nsatisfies the Cahn-Hilliard equation with advective transport. A modified\nNavier-Stokes equation that incorporates an explicit coupling to the order\nparameter field governs fluid flow. It reduces, in the limit of an infinitely\nthin interface, to the Navier-Stokes equation within the bulk phases and to two\ninterfacial forces: a normal capillary force proportional to the surface\ntension and the mean curvature of the surface, and a tangential force\nproportional to the tangential derivative of the surface tension. The method is\nillustrated in two cases: thermo-capillary migration of drops and phase\nseparation via spinodal decomposition, both in an externally imposed\ntemperature gradient.",
    "arxiv_id": "patt-sol/9601004",
    "authors": [
      "David Jasnow",
      "Jorge Vinals"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1063/1.868851",
    "journal_ref": "Phys. Fluids 8, 660 (1996)",
    "title": "Coarse-grained description of thermo-capillary flow",
    "url": "https://arxiv.org/abs/patt-sol/9601004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "42620530-0789-4709-9652-bbe4d84286ed",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}