Evolution of a turbulent cascade on the surface of liquid hydrogen under a change in the spectral characteristic of an exciting force

Abstract

The modification of the turbulent cascade in a system of capillary waves on the surface of liquid hydrogen under a change in the spectral width of exciting noise has been experimentally studied. The correlation function I _ω of the deviations of the surface of liquid hydrogen from equilibrium under broadband excitation is a monotonically decreasing function of frequency. The distribution I _ω in the inertial range is well described by the power function ω^−m with the exponent m close to 17/6. In the presence of narrowband excitation, a chain of peaks appears on the cascade I _ω; the positions of the peaks are described by a power function of frequency with the exponent m = 3.8 ± 0.1.