{
  "annotation_id": "0dc75a61-d9fb-4386-9cef-126ad82b1a2a",
  "date_created": "2026-03-02T18:00:29.403000Z",
  "date_modified": "2026-03-02T18:00:29.403000Z",
  "file_hash": "ca8e8bc6529da5cdbff0419016e88fbd0b32c65d9e1b1a955016a7aafd38efc3",
  "private": false,
  "record": {
    "abstract": "An analytical method within the frame of linear stability theory is presented\nfor the normal field instability in magnetic fluids. It allows to calculate the\nmaximal growth rate and the corresponding wave number for any combination of\nthickness and viscosity of the fluid. Applying this method to magnetic fluids\nof finite depth, these results are quantitatively compared to the wave number\nof the transient pattern observed experimentally after a jump--like increase of\nthe field. The wave number grows linearly with increasing induction where the\ntheoretical and the experimental data agree well. Thereby a long-standing\ncontroversy about the behaviour of the wave number above the critical magnetic\nfield is tackled.",
    "arxiv_id": "patt-sol/9909008",
    "authors": [
      "Adrian Lange",
      "Bert Reimann",
      "Reinhard Richter"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.61.5528",
    "journal_ref": "Phys. Rev. E, 61 (2000) 5528",
    "title": "Wave Number of Maximal Growth in Viscous Magnetic Fluids of Arbitrary   Depth",
    "url": "https://arxiv.org/abs/patt-sol/9909008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9e9c94ec-2249-4179-ae71-d2e6bf23e653",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}