SCALE-INVARIANCE AND SCALING EXPONENTS IN FULLY-DEVELOPED TURBULENCE

We apply the general formalism of equivalence of reference fields in s cale invariant systems (Dubrulle and Graner, preceding paper [1]) to f ully developed isotropic turbulence. Scale symmetry, the postulate of equivalence and regularity select the only physical solutions: the log -Poisson distribution, and its limits, the beta model and the Kolmogor ov solution. The parameters left free by the symmetries are selected i n relation with physical constraints applied on the turbulent flow. Th e link with previous models and experimental measurements of the scali ng exponents is briefly discussed.