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Based on measurements of nonlinear second sound resonances in a high-qualityresonator, we have observed a steady-state wave energy cascade in He IIinvolving a flux of energy through the spectral range towards high frequencies.We show that the energy balance in the wave system is nonlocal in K-space andthat the frequency scales of energy pumping and dissipation are widelyseparated. The wave amplitude distribution follows a power law over a widerange of frequencies. Numerical computations yield results in agreement withthe experimental observations. We suggest that second sound cascades of thiskind may be useful for model studies of acoustic turbulence.

Formation of a Direct Kolmogorov-like Cascade of Second Sound Waves in He II