Extended Self-Similarity in Turbulent Systems: an Analytically Soluble Example

Daniel Segel, Victor L'vov, Itamar Procaccia

In turbulent flows the $n$'th order structure functions $S_n(R)$ scale like $R^{{\zeta }_n}$ when $R$ is in the "inertial range". Extended Self-Similarity refers to the substantial increa…