dorsal/arxiv
View SchemaAnomalous self-similarity in two-dimensional turbulence
| Authors | Charles N. Baroud, Brendan B. Plapp, Zhen-Su She, Harry L. Swinney |
|---|---|
| Categories | |
| ArXiv ID | physics/0104055 |
| URL | https://arxiv.org/abs/physics/0104055 |
Abstract
Our velocity measurements on a quasi-two-dimensional turbulent flow in a rapidly rotating annulus yield an inverse cascade with E(k)~k^{-2} rather than the expected E(k)~k^{-5/3}. The probability distribution functions for longitudinal velocity differences, \delta_v(r)=v(x+r)-v(x), are self-similar (scale independent) but strongly non-Gaussian, which suggests that the coherent vortices play a significant role. The structure functions, <[\delta_v(r)]^p>~r^{\zeta_p}, exhibit anomalous scaling: \zeta_p=p/2 rather than \zeta_p=p/3 as in the 1941 Kolmogorov theory.
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"date_created": "2026-03-02T18:00:36.355000Z",
"date_modified": "2026-03-02T18:00:36.355000Z",
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"abstract": "Our velocity measurements on a quasi-two-dimensional turbulent flow in a\nrapidly rotating annulus yield an inverse cascade with E(k)~k^{-2} rather than\nthe expected E(k)~k^{-5/3}. The probability distribution functions for\nlongitudinal velocity differences, \\delta_v(r)=v(x+r)-v(x), are self-similar\n(scale independent) but strongly non-Gaussian, which suggests that the coherent\nvortices play a significant role. The structure functions,\n\u003c[\\delta_v(r)]^p\u003e~r^{\\zeta_p}, exhibit anomalous scaling: \\zeta_p=p/2 rather\nthan \\zeta_p=p/3 as in the 1941 Kolmogorov theory.",
"arxiv_id": "physics/0104055",
"authors": [
"Charles N. Baroud",
"Brendan B. Plapp",
"Zhen-Su She",
"Harry L. Swinney"
],
"categories": [
"physics.flu-dyn"
],
"title": "Anomalous self-similarity in two-dimensional turbulence",
"url": "https://arxiv.org/abs/physics/0104055"
},
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"execution_id": "22527866-f386-4054-ad29-d300f11792da",
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"variant": "snapshot-2026-03-01",
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