{
  "annotation_id": "c7be2f7c-a364-45fb-b2ad-978e86e28a4a",
  "date_created": "2026-03-02T18:00:53.854000Z",
  "date_modified": "2026-03-02T18:00:53.854000Z",
  "file_hash": "3cb06760e0ef3c3eb5c2793ee6b73096f00e43842362e88824724533cfd24e2e",
  "private": false,
  "record": {
    "abstract": "The dynamics of the development of instability of the free surface of liquid\nhelium, which is charged by electrons localized above it, is studied. It is\nshown that, if the charge completely screens the electric field above the\nsurface and its magnitude is much larger then the instability threshold, the\nasymptotic behavior of the system can be described by the well-known 3D\nLaplacian growth equations. The integrability of these equations in 2D geometry\nmakes it possible to described the evolution of the surface up to the formation\nof singularities, viz., cuspidal point at which the electric field strength,\nthe velocity of the liquid, and the curvature of its surface assume infinitely\nlarge values. The exact solutions obtained for the problem of the\nelectrocapillary wave profile at the boundary of liquid helium indicate the\ntendency to a charge in the surface topology as a result of formation of\ncharged bubbles.",
    "arxiv_id": "physics/0411140",
    "authors": [
      "Nikolay M. Zubarev"
    ],
    "categories": [
      "physics.flu-dyn",
      "cond-mat.soft",
      "nlin.SI"
    ],
    "journal_ref": "JETP, Vol. 94, No. 3, pp.534-544 (2002)",
    "title": "Exact Solutions of the Equations of Motion of Liquid Helium with a   Charged Free Surface",
    "url": "https://arxiv.org/abs/physics/0411140"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c00788fd-1bff-4b27-b096-1e291fc68bb9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}