Generalised higher-order Kolmogorov scales

Kolmogorov introduced dissipative scales based on the mean dissipation \langle {\it\varepsilon}\rangleand the viscosity {\it\nu}, namely the Kolmogorov length {\it\eta}=({\it\nu}^{3}/\langle {\it\varepsilon}\rangle )^{1/4}and the velocity u_{{\it\eta}}=({\it\nu}\langle {\it\varepsilon}\rangle )^{1/4}. However, the existence of smaller scales has been discussed in the literature based on phenomenological intermittency models. Here, we...