Capillary turbulence at the surface of liquid hydrogen

The results of studying the nonlinear capillary waves at a charged surface of liquid hydrogen are reported. Spectral density is experimentally determined for the surface elevations excited by spectrally narrow low-frequency pumping. It is shown that the spectral density in the range $100$ Hz–$5$ kHz obeys the power-law dependence ${\rm const}\,\omega^m$ (scaling). The $m$ exponent is close to $-3$, indicating that the capillary turbulence regime is established.