Scaling exponents in fully developed turbulence from nonextensive statistical mechanics

We combine Tsallis statistics with extended selfsimilarity to calculate scaling exponents of moments in a nonextensive statistical model of fully developed turbulence. One obtains numerical values of scaling exponents that agree very well with experimental data. Our approach is based on a scale-dependent nonextensitivity parameter q>1 and can be embedded into previously successful models for probability densities of velocity differences.