{
  "annotation_id": "7d084ad7-df29-4503-bd0e-cbd2d9103f51",
  "date_created": "2026-03-02T18:00:28.876000Z",
  "date_modified": "2026-03-02T18:00:28.876000Z",
  "file_hash": "fa17b92752858ce3ab2d2f53d68e0376dee71b80e859af48a78fc80399b48ed5",
  "private": false,
  "record": {
    "abstract": "We develop a characterization method of electroconvection structures in a\nplanar nematic liquid crystal layer by a study of the electric current\ntransport. Because the applied potential difference has a sinusoidal time\ndependence, we define two electric Nusselt numbers corresponding to the\nin-phase and out-of-phase components of the current. These Nusselt numbers are\npredicted theoretically using a weakly nonlinear analysis of the standard\nmodel. Our measurements of the electric current confirm that both numbers vary\nlinearly with the distance from onset until the occurence of secondary\ninstabilities; these instabilities also have a distinct Nusselt number\nsignature. A systematic comparison between our theoretical and experimental\nresults, using no adjusted parameters, demonstrates reasonable agreement. This\nrepresents a quantitative test of the standard model completely independent\nfrom traditional, optical techniques of studying electroconvection.",
    "arxiv_id": "patt-sol/9907002",
    "authors": [
      "J. T. Gleeson",
      "N. Gheorghiu",
      "E. Plaut"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Electric Nusselt number characterization of electroconvection in nematic   liquid crystals",
    "url": "https://arxiv.org/abs/patt-sol/9907002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "77b6b1c7-07a9-4a67-ad4d-82de146129a8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}