Exact resummations in the theory of hydrodynamic turbulence. III. Scenarios for anomalous scaling and intermittency
Exact resummations in the theory of hydrodynamic turbulence. III. Scenarios for anomalous scaling and intermittency
Elements of the analytic structure of anomalous scaling and intermittency in fully developed hydrodynamic turbulence are described. We focus here on the structure functions of velocity differences that satisfy inertial range scaling laws ${\mathit{S}}_{\mathit{n}}$(R)\ensuremath{\sim}${\mathit{R}}^{{\mathrm{\ensuremath{\zeta}}}_{\mathit{n}}}$, and the correlation of energy dissipation ${\mathit{K}}_{\mathrm{\ensuremath{\epsilon}}\mathrm{\ensuremath{\epsilon}}}$(R)\ensuremath{\sim}${\mathit{R}}^{\mathrm{\ensuremath{-}}\mathrm{\ensuremath{\mu}}}$. The goal is to understand from first principles what …