Ultrametric structure of multiscale energy correlations in turbulent models

Details Ultrametric structure of multiscale energy correlations in turbulent models Ultrametric structure of multiscale energy correlations in turbulent models

1997-05-23

arxiv.org/abs/chao-dyn/9705018v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevLett.79.1670

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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