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.
Authors
- Alexei A. Mailybaev (ORCID: https://orcid.org/0000-0003-1437-6204)
Institutions
- Instituto Nacional de Matemática Pura e Aplicada (BR)
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
Funders
- 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