{
  "annotation_id": "c3f4685e-4b92-4808-91f7-4e37a46c702d",
  "date_created": "2026-03-02T18:01:21.406000Z",
  "date_modified": "2026-03-02T18:01:21.406000Z",
  "file_hash": "96a68e1d2abd1893132ab8eb944abea7d14ffd026e7020bba6eb24cd7166f070",
  "private": false,
  "record": {
    "abstract": "We have calculated the general dispersion relationship for surface waves on a\nferrofluid layer of any thickness and viscosity, under the influence of a\nuniform vertical magnetic field. The amplification of these waves can induce an\ninstability called peaks instability (Rosensweig instability). The expression\nof the dispersion relationship requires that the critical magnetic field and\nthe critical wavenumber of the instability depend on the thickness of the\nferrofluid layer. The dispersion relationship has been simplified into four\nasymptotic regimes: thick or thin layer and viscous or inertial behaviour. The\ncorresponding critical values are presented. We show that a typical parameter\nof the ferrofluid enables one to know in which regime, viscous or inertial, the\nferrofluid will be near the onset of instability.",
    "arxiv_id": "physics/9706005",
    "authors": [
      "Berengere Abou",
      "Gilles Neron de Surgy",
      "Jose-Eduardo Wesfreid"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1051/jp2:1997178",
    "title": "Dispersion Relation of a Ferrofluid Layer of Any Thickness and Viscosity   in a Normal Magnetic Field; Asymptotic Regimes",
    "url": "https://arxiv.org/abs/physics/9706005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1722d963-aa9f-4774-b362-ad00a36b8ae3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}