dorsal/arxiv
View SchemaOn the small-scale statistics of Lagrangian turbulence
| Authors | Christian Beck |
|---|---|
| Categories | |
| ArXiv ID | physics/0105058 |
| URL | https://arxiv.org/abs/physics/0105058 |
| DOI | 10.1016/S0375-9601(01)00483-2 |
Abstract
We provide evidence that the small-scale statistics of the acceleration of a test particle in high-Reynolds number Lagrangian turbulence is correctly described by Tsallis statistics with entropic index q=3/2. We present theoretical arguments why Tsallis statistics can naturally arise in Lagrangian turbulence and why at the smallest scales q=3/2 is relevant. A generalized Heisenberg-Yaglom formula is derived from the nonextensive model.
{
"annotation_id": "e2d092a3-5d0a-4d1b-8a42-dc4218d99a4d",
"date_created": "2026-03-02T18:00:35.574000Z",
"date_modified": "2026-03-02T18:00:35.574000Z",
"file_hash": "329ee05dae610f5dc9dcb22d84f146637d2cef8c8c6bc27f3608bcc7911527aa",
"private": false,
"record": {
"abstract": "We provide evidence that the small-scale statistics of the acceleration of a\ntest particle in high-Reynolds number Lagrangian turbulence is correctly\ndescribed by Tsallis statistics with entropic index q=3/2. We present\ntheoretical arguments why Tsallis statistics can naturally arise in Lagrangian\nturbulence and why at the smallest scales q=3/2 is relevant. A generalized\nHeisenberg-Yaglom formula is derived from the nonextensive model.",
"arxiv_id": "physics/0105058",
"authors": [
"Christian Beck"
],
"categories": [
"physics.flu-dyn",
"cond-mat.stat-mech"
],
"doi": "10.1016/S0375-9601(01)00483-2",
"title": "On the small-scale statistics of Lagrangian turbulence",
"url": "https://arxiv.org/abs/physics/0105058"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8e344e2a-b399-47e6-8322-dd89b90f8412",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}