Multi-time scale-invariance of turbulence in a shell model

We relate the concept of multiscaling in the inertial range of turbulence to a hidden scaling symmetry. We deduce that the anomalous exponents of scaling laws are determined solely by the degree of time-scale homogeneity of the observed quantities. This yields a universal rule that includes the usual structure functions and Kolmogorov multipliers, and extends further to multi-time correlations and other multi-time properties of turbulent statistics.

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Publication Details

Journal
Physical Review Fluids
Published
2025-05-06
DOI
https://doi.org/10.1103/physrevfluids.10.054603
Primary Topic
Fluid Dynamics and Turbulent Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Multi-time scale-invariance of turbulence in a shell model

Alexei A. Mailybaev
Physical Review Fluids
Fluid Dynamics and Turbulent Flows
article

Multi-time scale-invariance of turbulence in a shell model

Alexei A. Mailybaev
article en

Abstract

We relate the concept of multiscaling in the inertial range of turbulence to a hidden scaling symmetry. We deduce that the anomalous exponents of scaling laws are determined solely by the degree of time-scale homogeneity of the observed quantities. This yields a universal rule that includes the usual structure functions and Kolmogorov multipliers, and extends further to multi-time correlations and other multi-time properties of turbulent statistics.

Physical Review FluidsVol. 10(5)
Instituto Nacional de Matemática Pura e Aplicada (BR)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
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Openalex Percentile: Top 90%
Fluid Dynamics and Turbulent Flows
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