Tsallis statistics and fully developed turbulence

An analysis of fully developed turbulence is developed based on the assumpt ion that the underlying statistics of the system is that of the Tsallis ens emble. The multifractal spectrum f(T)(alpha) corresponding to the Tsallis-t ype distribution function is determined self-consistently in the sense that all parameters can be obtained through the observed value of the intermitt ency exponent. It is shown that the scaling exponents zeta(m) of the veloci ty structure function derived with the help of the multifractal spectrum fi t very well with experimental data. It is revealed that the asymptotic expr ession of zeta(m) for m much greater than 1 has a log term. The present sel f-consistent approach narrowed down the value of intermittency exponent mu for the fully developed turbulence to mu = 0.235 +/- 0.015.