Kolmogorov number in a turbulent Bose gas

Turbulence phenomena are present in a vast variety of physical systems, from water waves to the early universe. We use a homogeneous Bose gas of ³⁹K to study turbulent cascades, in which energy injected at the low-momentum scale is transported in momentum space with constant energy flux towards higher momenta. This leads to a scale-invariant momentum distribution defined by the so-called Kolmogorov exponent and Kolmogorov number, the amplitude. Here we investigate the dependence of the Kolmogorov number on the transported energy flux, and observe universal relations in agreement with the theoretical predictions for wave turbulence.