Abstract
We introduce a shell model of turbulence featuring intermittent behaviour with anomalous power-law scaling of structure functions. This model is solved analytically with the explicit derivation of anomalous exponents. The solution associates the intermittency with the hidden symmetry for Kolmogorov multipliers, making our approach relevant for real turbulence.
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Acknowledgements
The author is grateful to Artem Raibekas for his help in the study of ergodicity, and to Theodore D. Drivas, Simon Thalabard and the anonymous reviewer for their comments on the manuscript. The work is supported by CNPq (Grants 303047/2018-6, 406431/2018-3).
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Communicated by C. Liverani.
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Mailybaev, A.A. Solvable Intermittent Shell Model of Turbulence. Commun. Math. Phys. 388, 469–478 (2021). https://doi.org/10.1007/s00220-021-04190-z
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DOI: https://doi.org/10.1007/s00220-021-04190-z