Application of generalized thermostatistics to fully developed turbulence

We apply the formalism of non-extensive statistical mechanics to fully developed turbulent flows. We obtain analytical formulas for probability density functions of velocity differences depending on distance r/η and Reynolds number Rλ, which are in very good agreement with turbulence experiments. The skewness is taken into account by analysing universal contributions due to higher-order correlations of the chaotic dynamics. We also calculate the moment scaling exponents ζm, which also agree well with experimental data.