1997/05/23 by Roberto Benzi, R. Benzi, Luca Biferale +2 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Cascade #Computer science #Cosmology and Gravitation Theories #Dissipation #Energy (signal processing) #Energy cascade #Fluid Dynamics and Turbulent Flows #Geometry #Mathematical analysis #Mathematics #Mechanics #Physics #Quantum mechanics #Scaling #Statistical physics #Thermodynamics #Turbulence #Ultrametric space #Wavelet #advanced mathematical theories #chao-dyn #nlin.CD
paper · pdf · doi:10.1103/physrevlett.79.1670
arxiv created 1997/05/23 · openalex publication_date 1997/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.