Classical capillary turbulence on the surface of quantum liquid He-II

Superfluid helium-4 is a unique liquid for the experimental study of capillary wave turbulence because of its very low viscosity. We have studied the influence of the amplitude and spectral characteristics of an excitation force on the behavior of the turbulence cascade of capillary waves in a 30-cm-diam cylindrical cell. The experimental results can be explained in terms of wave turbulence theory (WTT) when the pump amplitude is relatively high. However, a very interesting phenomenon is observed at moderate harmonic surface excitation amplitudes. The turbulence spectrum deviates from the power law form predicted by WTT at high frequencies; a local maximum develops, which can be interpreted as wave energy accumulation. Our estimates show that a special case of wave turbulence was realized in our experiments, namely, a discrete turbulence in which the discreteness of the cell resonant frequencies has a strong effect on the mechanism of the nonlinear interaction.

[1]  M. Shats,et al.  Phase randomization of three-wave interactions in capillary waves. , 2009, Physical review letters.

[2]  M. Y. Brazhnikov,et al.  Evolution of a turbulent cascade on the surface of liquid hydrogen under a change in the spectral characteristic of an exciting force , 2009 .

[3]  A. Levchenko,et al.  Capillary turbulence on the surface of normal and superfluid He4 , 2009 .

[4]  G. Kolmakov,et al.  Study of high-frequency edge of turbulent cascade on the surface of He-II , 2009 .

[5]  M. Y. Brazhnikov,et al.  Distribution of the probability of oscillations of the surface of liquid hydrogen in the turbulent regime , 2008 .

[6]  S. Fauve,et al.  Capillary wave turbulence on a spherical fluid surface in low gravity , 2007, 0708.1446.

[7]  S. Fauve,et al.  Observation of gravity-capillary wave turbulence. , 2006, Physical review letters.

[8]  G. Kolmakov.  Decay of capillary turbulence on the surface of a viscous liquid , 2006 .

[9]  A. Levchenko,et al.  Excitation and Detection of Nonlinear Waves on a Charged Surface of Liquid Hydrogen , 2002 .

[10]  G. Kolmakov,et al.  Observation of capillary turbulence on the water surface in a wide range of frequencies , 2002 .

[11]  G. Kolmakov,et al.  Measurement of the boundary frequency of the inertial interval of capillary wave turbulence at the surface of liquid hydrogen , 2001 .

[12]  P. Alstrøm,et al.  Prevalence of weak turbulence in strongly driven surface ripples , 2000 .

[13]  R. Donnelly,et al.  The Observed Properties of Liquid Helium at the Saturated Vapor Pressure , 1998 .

[14]  V. Zakharov,et al.  Turbulence of capillary waves: theory and numerical simulation , 1997 .

[15]  Wright,et al.  Diffusing light photography of fully developed isotropic ripple turbulence. , 1996, Physical review letters.

[16]  E. Kartashova.  On properties of weakly nonlinear wave interactions in resonators , 1991 .

[17]  E. Kartashova.  Partitioning of ensembles of weakly interacting dispersing waves in resonators into disjoint classes , 1990 .

[18]  M. Tsubota,et al.  Progress in Low Temperature Physics: Quantum Turbulence , 2008 .

[19]  M. T. Westra.  Patterns and weak turbulence in surface waves , 2001 .

[20]  Gregory Falkovich,et al.  Kolmogorov Spectra of Turbulence I , 1992 .