{
  "annotation_id": "447905e5-62e0-4384-b021-1b85e325677a",
  "date_created": "2026-03-02T18:00:46.924000Z",
  "date_modified": "2026-03-02T18:00:46.924000Z",
  "file_hash": "0df6256d21b85b9637342db93ce58d3ef70c5080010e1f28f1054bf35e6ed8e6",
  "private": false,
  "record": {
    "abstract": "An upper bound on the mixing efficiency is derived for a passive scalar under\nthe influence of advection and diffusion with a body source. For a given\nstirring velocity field, the mixing efficiency is measured in terms of an\nequivalent diffusivity, which is the molecular diffusivity that would be\nrequired to achieve the same level of fluctuations in the scalar concentration\nin the absence of stirring, for the same source distribution. The bound on the\nequivalent diffusivity depends only on the functional \"shape\" of both the\nsource and the advecting field. Direct numerical simulations performed for a\nsimple advecting flow to test the bounds are reported.",
    "arxiv_id": "physics/0307140",
    "authors": [
      "Jean-Luc Thiffeault",
      "Charles R. Doering",
      "John D. Gibbon"
    ],
    "categories": [
      "physics.flu-dyn",
      "nlin.CD"
    ],
    "doi": "10.1017/S0022112004001739",
    "journal_ref": "Journal of Fluid Mechanics 521, 105-114 (2004)",
    "title": "A Bound on Mixing Efficiency for the Advection-Diffusion Equation",
    "url": "https://arxiv.org/abs/physics/0307140"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a23c917d-581c-4517-ab9d-f696e94bcb3f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}