Empirical determination of universal multifractal exponents in turbulent velocity fields.

摘要: It is now apparent that the two principal models of turbulence (the «beta» and «lognormal» models) are extremes a continuous family (stable, attractive, hence «universal») multifractals characterized by Levy indices α=0 2, respectively. Using technique called double trace moment analysis, turbulent velocity data, we empirically obtain α≃1.3±0.1: As has long been suspected, really «in between» β lognormal models. This describes entire hierarchy singularities Navier-Stokes equations