Multiscaling and Structure Functions in Turbulence: An Alternative Approach

We propose an alternative formulation of structure functions for the velocity field in fully developed turbulence. Instead of averaging moments of the velocity differences as a function of the distance, we suggest to average moments of the distances as a function of the velocity difference. This is like an “inverted” structure function, with a different statistics. On the basis of shell model calculations we obtain a new multiscaling spectrum.