{
  "annotation_id": "a285f5ec-6084-47e7-ae09-95ed15958466",
  "date_created": "2026-03-02T18:00:39.111000Z",
  "date_modified": "2026-03-02T18:00:39.111000Z",
  "file_hash": "6bb8efe14b55fa374ff1504ca2933edd70e750ba13a7962f5f88409b937fd6f2",
  "private": false,
  "record": {
    "abstract": "We derive a formula for the entropy of two dimensional incompressible\ninviscid flow, by determining the volume of the space of vorticity\ndistributions with fixed values for the moments Q_k= \\int_w(x)^k d^2 x. This\nspace is approximated by a sequence of spaces of finite volume, by using a\nregularization of the system that is geometrically natural and connected with\nthe theory of random matrices. In taking the limit we get a simple formula for\nthe entropy of a vortex field. We predict vorticity distributions of maximum\nentropy with given mean vorticity and enstrophy; also we predict the\ncylindrically symmetric vortex field with maximum entropy. This could be an\napproximate description of a hurricane.",
    "arxiv_id": "physics/0206083",
    "authors": [
      "Savitri V. Iyer",
      "S. G. Rajeev"
    ],
    "categories": [
      "physics.flu-dyn",
      "hep-th"
    ],
    "doi": "10.1142/S0217732302007934",
    "journal_ref": "Mod.Phys.Lett. A17 (2002) 1539-1550",
    "title": "A Model of Two Dimensional Turbulence Using Random Matrix Theory",
    "url": "https://arxiv.org/abs/physics/0206083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "409fa798-c808-47b4-9f91-c3178de84d01",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}