dorsal/arxiv
View SchemaIntermittency via Self-Similarity -- An Analytic Example
| Authors | Mogens V. Melander, Bruce R. Fabijonas |
|---|---|
| Categories | |
| ArXiv ID | physics/0512198 |
| URL | https://arxiv.org/abs/physics/0512198 |
Abstract
Turbulence is known to show intermittency. That is, statistical properties vary with the length scale in a way not accounted for by statistical similarity where dimensionless ratios of moments are constant. Intermittency occurs even in the inertial range of isotropic turbulence, where physical intuition calls for a self-similar scale dependence. Perceived as a lack of overall scaling invariance, inertial range intermittency has become known as anomalous scaling. We present an analytic example demonstrating how anomalous scaling and self-similarity in the form of global scaling invariance can coexist within the same statistics. Whether we observe anomalous scaling or self-similarity depends on which variables we consider. Our example illustrates consequences of a symmetry, but is not meant as an intermittency model.
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"date_created": "2026-03-02T18:01:04.123000Z",
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"abstract": "Turbulence is known to show intermittency. That is, statistical properties\nvary with the length scale in a way not accounted for by statistical similarity\nwhere dimensionless ratios of moments are constant. Intermittency occurs even\nin the inertial range of isotropic turbulence, where physical intuition calls\nfor a self-similar scale dependence. Perceived as a lack of overall scaling\ninvariance, inertial range intermittency has become known as anomalous scaling.\nWe present an analytic example demonstrating how anomalous scaling and\nself-similarity in the form of global scaling invariance can coexist within the\nsame statistics. Whether we observe anomalous scaling or self-similarity\ndepends on which variables we consider. Our example illustrates consequences of\na symmetry, but is not meant as an intermittency model.",
"arxiv_id": "physics/0512198",
"authors": [
"Mogens V. Melander",
"Bruce R. Fabijonas"
],
"categories": [
"physics.flu-dyn"
],
"title": "Intermittency via Self-Similarity -- An Analytic Example",
"url": "https://arxiv.org/abs/physics/0512198"
},
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