{
  "annotation_id": "fcbde591-7213-4c5b-832b-9ca32e1aecc3",
  "date_created": "2026-03-02T18:01:11.445000Z",
  "date_modified": "2026-03-02T18:01:11.445000Z",
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  "record": {
    "abstract": "We show that two-dimensional convection-diffusion problems with a radial sink\nor source at the origin may be recast as a pure diffusion problem in a\nfictitious space in which the spatial dimension is continuously-tunable with\nthe Peclet number. This formulation allows us to probe various\ndiffusion-controlled processes in non-integer dimensions.",
    "arxiv_id": "physics/0609155",
    "authors": [
      "P. L. Krapivsky",
      "S. Redner"
    ],
    "categories": [
      "physics.chem-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1088/0953-8984/19/6/065119",
    "journal_ref": "J. Phys.: Condens. Matter 19 065119 (2007)",
    "title": "Probing Non-Integer Dimensions",
    "url": "https://arxiv.org/abs/physics/0609155"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "908ab153-8ce5-41a4-81ef-0975fd1caddd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}