Universal scaling laws in fully developed turbulence

The inertial-range scaling laws of fully developed turbulence are described in terms of scalings of a sequence of moment ratios of the energy dissipation field ₋ coarse-grained at inertial-range scale l. These moment ratios ₋^ (p) =〈₋^p+1〉/〈₋^p〉 (p=0, 1, 2,. . . , ) form a hierarchy of structures. The most singular structures ₋^ () are assumed to be filaments, and it is argued that ₋^ () l^-2/3. Furthermore, a universal relation between scalings of successive structures is postulated, which leads to a prediction of the entire set of the scaling exponents: 〈₋^p〉l₏^, ₏=-2/3p+21- (2) / 3) ^p and 〈v₋^p〉l₏^, ₏=p/9+21- (2/3) ^p/3.