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

Abstract

Based on measurements of nonlinear second sound resonances in a high-quality resonator, we have observed a steady-state wave energy cascade in He II involving 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 and that the frequency scales of energy pumping and dissipation are widely separated. The wave amplitude distribution follows a power law over a wide range of frequencies. Numerical computations yield results in agreement with the experimental observations. We suggest that second sound cascades of this kind may be useful for model studies of acoustic turbulence.

arXiv comment4 pages, 3 figures. The final version just prior to publication

References in corpus (2)

• Weak Turbulent Kolmogorov Spectrum for Surface Gravity Waves
• Quasi-Adiabatic Decay of Capillary Turbulence on the Charged Surface of Liquid Hydrogen

Cited by in corpus (4)

• Observation of an Inverse Energy Cascade in Developed Acoustic Turbulence in Superfluid Helium
• Turbulent dynamics in rotating helium superfluids
• Turbulence in a Bose-Einstein Condensate of Dipolar Excitons in Coupled Quantum Wells
• Introduction to Nonlinear Phenomena in Superfluid Liquids and Bose-Einstein Condensates: Helium, Semiconductors and Graphene