{
  "annotation_id": "ce09fb51-82d0-4c52-94fa-9c67470bf39b",
  "date_created": "2026-03-02T18:00:28.599000Z",
  "date_modified": "2026-03-02T18:00:28.599000Z",
  "file_hash": "59ee78140bba79e556b57ef01bfd2b1097e11cd8d01de78552d949e9ed8b0aa3",
  "private": false,
  "record": {
    "abstract": "Surface waves on ferrofluids exposed to a dc-magnetic field exhibit a\nnon-monotonic dispersion relation. The effect of a parametric driving on such\nwaves is studied within suitable coupled Ginzburg-Landau equations. Due to the\nnon-monotonicity the neutral curve for the excitation of standing waves can\nhave up to three minima. The stability of the waves with respect to long-wave\nperturbations is determined $via$ a phase-diffusion equation. It shows that the\nband of stable wave numbers can split up into two or three sub-bands. The\nresulting competition between the wave numbers corresponding to the respective\nsub-bands leads quite naturally to patterns consisting of multiple domains of\nstanding waves which differ in their wave number. The coarsening dynamics of\nsuch domain structures is addressed.",
    "arxiv_id": "patt-sol/9601002",
    "authors": [
      "David Raitt",
      "Hermann Riecke"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.55.5448",
    "title": "Parametric Forcing of Waves with Non-Monotonic Dispersion Relation:   Domain Structures in Ferrofluids?",
    "url": "https://arxiv.org/abs/patt-sol/9601002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d47328d1-8973-452b-b56a-4d1f517b2d0f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}