{
  "annotation_id": "9e585736-e6b4-4699-bf16-a0d62101f245",
  "date_created": "2026-03-02T18:01:00.870000Z",
  "date_modified": "2026-03-02T18:01:00.870000Z",
  "file_hash": "da9f60cbc0d84826e6a9df24e06dfd1ff92bf50813b64a9f30901981d51acb67",
  "private": false,
  "record": {
    "abstract": "Multiscale mixing efficiencies for passive scalar advection are defined in\nterms of the suppression of variance weighted at various length scales. We\nconsider scalars maintained by temporally steady but spatially inhomogeneous\nsources, stirred by statistically homogeneous and isotropic incompressible\nflows including fully developed turbulence. The mixing efficiencies are\nrigorously bounded in terms of the Peclet number and specific quantitative\nfeatures of the source. Scaling exponents for the bounds at high Peclet number\ndepend on the spectrum of length scales in the source, indicating that\nmolecular diffusion plays a more important quantitative role than that implied\nby classical eddy diffusion theories.",
    "arxiv_id": "physics/0508151",
    "authors": [
      "Charles R. Doering",
      "Jean-Luc Thiffeault"
    ],
    "categories": [
      "physics.flu-dyn",
      "nlin.CD"
    ],
    "doi": "10.1103/PhysRevE.74.025301",
    "journal_ref": "Phys. Rev. E 74, 025301(R) (2006) (4 pages)",
    "title": "Multiscale Mixing Efficiencies for Steady Sources",
    "url": "https://arxiv.org/abs/physics/0508151"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e21959d7-0160-405c-8eb3-0ac09f4e13d2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}