{
  "annotation_id": "ba654537-37ff-4872-bf74-3ae3993b9f7a",
  "date_created": "2026-03-02T18:00:35.793000Z",
  "date_modified": "2026-03-02T18:00:35.793000Z",
  "file_hash": "b56f2b84ca3c3c9df4bd4af93ff0c37f5b17db0471c82994f8b863d1b5bce6e2",
  "private": false,
  "record": {
    "abstract": "Weakly nonlinear hexagon convection patterns coupled to mean flow are\ninvestigated within the framework of coupled Ginzburg-Landau equations. The\nequations are in particular relevant for non-Boussinesq Rayleigh-B\\\u0027enard\nconvection at low Prandtl numbers. The mean flow is found to (1) affect only\none of the two long-wave phase modes of the hexagons and (2) suppress the\nmixing between the two phase modes. As a consequence, for small Prandtl numbers\nthe transverse and the longitudinal phase instability occur in sufficiently\ndistinct parameter regimes that they can be studied separately. Through the\nformation of penta-hepta defects, they lead to different types of transient\ndisordered states. The results for the dynamics of the penta-hepta defects shed\nlight on the persistence of grain boundaries in such disordered states.",
    "arxiv_id": "physics/0107058",
    "authors": [
      "Yuan-nan Young",
      "Hermann Riecke"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.comp-ph"
    ],
    "doi": "10.1016/S0167-2789(01)00389-X",
    "title": "Mean flow in hexagonal convection: stability and nonlinear dynamics",
    "url": "https://arxiv.org/abs/physics/0107058"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ae174707-c058-422d-ba57-3ab1b4e1a1d0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}