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Ultrametric structure of multiscale energy correlations in turbulent models

R. Benzi·L. Biferale·E. Trovatore
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Abstract

Ultrametric structure of the energy cascade process in a dynamical model of turbulence is studied. The tree model we use can be viewed as an approximated one-dimensional truncation of the wavelets resolved Navier-Stokes dynamics. Varying the tree connectiveness, the appearance of a scaling transition in the two-points moments of energy dissipation is detected, in agreement with experimental turbulent data.

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R. Benzi, L. Biferale, E. Trovatore. 1997-05-23. Ultrametric structure of multiscale energy correlations in turbulent models. https://doi.org/10.1103/physrevlett.79.1670

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