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Exact resummations in the theory of hydrodynamic turbulence. II. A ladder to anomalous scaling

Exact resummations in the theory of hydrodynamic turbulence. II. A ladder to anomalous scaling

In paper I of this series on fluid turbulence we showed that exact resummations of the perturbative theory of the structure functions of velocity differences result in a finite (order by order) theory. These findings exclude any known perturbative mechanism for anomalous scaling of the velocity structure functions. In this …