Analysis of fully developed turbulence by a generalized statistics

In order to reveal the underlying statistics properly describing fully deve loped turbulence, the probability density function of the local dissipation is determined by taking the extreme of a generalized entropy (Tsallis entr opy). With the density function, the scaling exponents zeta (m) of the velo city structure function are derived analytically. It is found that these sc aling exponents are consistent with experimental data. The asymptotic expre ssion of zeta (m) for m >> 1 has a log term.