dorsal/arxiv
View SchemaExperimental Lagrangian Acceleration Probability Density Function Measurement
| Authors | Nicolas Mordant, Alice M. Crawford, Eberhard Bodenschatz |
|---|---|
| Categories | |
| ArXiv ID | physics/0303003 |
| URL | https://arxiv.org/abs/physics/0303003 |
| DOI | 10.1016/j.physd.2004.01.041 |
| Journal | Physica D vol 193 p245 2004 |
Abstract
We report experimental results on the acceleration component probability distribution function at $R_\lambda = 690$ to probabilities of less than $10^{-7}$. This is an improvement of more than an order of magnitude over past measurements and allows us to conclude that the fourth moment converges and the flatness is approximately 55. We compare our probability distribution to those predicted by several models inspired by non-extensive statistical mechanics. We also look at acceleration component probability distributions conditioned on a velocity component for conditioning velocities as high as 3 times the standard deviation and find them to be highly non-Gaussian.
{
"annotation_id": "e472e98e-383e-470c-88ce-0943f74e9796",
"date_created": "2026-03-02T18:00:43.433000Z",
"date_modified": "2026-03-02T18:00:43.433000Z",
"file_hash": "a91253c127e71247ec619d1faa0d071813a2e39fd01047b6acea24f7714ba658",
"private": false,
"record": {
"abstract": "We report experimental results on the acceleration component probability\ndistribution function at $R_\\lambda = 690$ to probabilities of less than\n$10^{-7}$. This is an improvement of more than an order of magnitude over past\nmeasurements and allows us to conclude that the fourth moment converges and the\nflatness is approximately 55. We compare our probability distribution to those\npredicted by several models inspired by non-extensive statistical mechanics. We\nalso look at acceleration component probability distributions conditioned on a\nvelocity component for conditioning velocities as high as 3 times the standard\ndeviation and find them to be highly non-Gaussian.",
"arxiv_id": "physics/0303003",
"authors": [
"Nicolas Mordant",
"Alice M. Crawford",
"Eberhard Bodenschatz"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1016/j.physd.2004.01.041",
"journal_ref": "Physica D vol 193 p245 2004",
"title": "Experimental Lagrangian Acceleration Probability Density Function Measurement",
"url": "https://arxiv.org/abs/physics/0303003"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "08275aa4-36cf-4b49-aafa-59e06614644e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}