(1) Kamerlingh Onnes Laboratorium, Leiden University, P.O. Box 9506, 2300 RA Leiden, The Netherlands;(2) Verkin Institute for Low Temperature Physics, 47 Lenin Avenue, Kharkov, 310164, Ukraine
Abstract:
This paper focuses on the hydrodynamics of third sound on a superfluid3He film. We solve the hydrodynamical equations in the limit of thick films with weak interaction with the substrate. The surface tension at the free interface is shown to have a large effect on the third sound velocity and on the attenuation for frequencies larger than 1Hz. In the case of a diffusely scattering substrate a ripplon-like dispersion relation is found for this frequency range.