Analysis of fully developed turbulence in terms of Tsallis statistics

The analysis of the fully developed turbulence with the help of the binomia l multiplicative process is reinvestigated from the standpoint of Tsallis n onextensive statistics in order to provide some insight in understanding th e underlying physical meaning of the Tsallis ensemble. The formula is deriv ed which relates Tsallis index q with the intermittency exponent mu that is a manifestation of multifractality of the sizes of eddies. It is shown tha t the probability density function of the local dissipation of turbulent ki netic energy can be represented by a distribution function of the type in T sallis statistics with the index q determined by the experimentally observa ble quantity mu through the derived formula.