Ultrametric structure of multiscale energy correlations in turbulent models
R. Benzi, L. Biferale, E. Trovatore
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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