dorsal/arxiv
View SchemaProbing Non-Integer Dimensions
| Authors | P. L. Krapivsky, S. Redner |
|---|---|
| Categories | |
| ArXiv ID | physics/0609155 |
| URL | https://arxiv.org/abs/physics/0609155 |
| DOI | 10.1088/0953-8984/19/6/065119 |
| Journal | J. Phys.: Condens. Matter 19 065119 (2007) |
Abstract
We show that two-dimensional convection-diffusion problems with a radial sink or source at the origin may be recast as a pure diffusion problem in a fictitious space in which the spatial dimension is continuously-tunable with the Peclet number. This formulation allows us to probe various diffusion-controlled processes in non-integer dimensions.
{
"annotation_id": "fcbde591-7213-4c5b-832b-9ca32e1aecc3",
"date_created": "2026-03-02T18:01:11.445000Z",
"date_modified": "2026-03-02T18:01:11.445000Z",
"file_hash": "bb9614f4b127e17ab7e1869e2d2de3df23c3f225e7c7f6dde8041936bd0d6a2c",
"private": false,
"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
}