Ultrametric Structure of Multiscale Energy Correlations in Turbulent Models
Abstract
The 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-point moments of energy dissipation is detected, in agreement with experimental turbulent data.
- Publication:
-
Physical Review Letters
- Pub Date:
- September 1997
- DOI:
- 10.1103/PhysRevLett.79.1670
- arXiv:
- arXiv:chao-dyn/9705018
- Bibcode:
- 1997PhRvL..79.1670B
- Keywords:
-
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- doi:10.1103/PhysRevLett.79.1670