The turbulence of capillary waves on the surface of liquid hydrogen

It is experimentally demonstrated that the surface excitation of liquid hydrogen at a low frequency results in the turbulent mode in a system of capillary waves. The experimental results are in good agreement with the theory of weak wave turbulence. The pair correlation function of the surface deviations is described by the exponential function omega(m). The exponent m decreases in magnitude from m = -3.7 +/- 0.3 to -2.8 +/- 0.2 when the pumping at a single resonant frequency changes to broadband noise excitation. Measurements are made of the dependence of the boundary frequency omega(b) of the upper edge of the inertial range in which the Kolmogorov spectrum is formed on the wave amplitude eta(p) at the pumping frequency. It is demonstrated that the obtained data are well described by a function of the form omega(b) proportional to eta(p)(4/3)omega(p)(23/9). (C) 2002 MAIK "Nauka/Interperiodica".