Energy spectra of developed superfluid turbulence

Turbulence spectra in superfluids are modified by the nonlinear energy dissipation caused by the mutual friction between quantized vortices and the normal component of the liquid. We have found a new state of fully developed turbulence which occurs in some range of two Reynolds parameters characterizing the superfluid flow. This state displays both the Kolmogorov–Obukhov $\frac53$-scaling law $E_k \propto k^{-5/3}$ and a new "$3$-scaling law" $E_k \propto k^{-3}$, each in a well-separated range of $k$.