Possible interfacial transport induced by small amplitude waves along solid helium–vacuum interfaces

Abstract

We perform the macroscopic calculations of the possible entrainment in a cylinder filled with solid helium and vacancies. The wavy transport is induced by a small-amplitude surface elastic wave propagating along the flexible interface by considering the nonlinear coupling between the interface and the rarefaction effect. The possible critical bounds obtained for zero-flux states corresponding to specific rarefaction measure and wave number might be relevant to the rather small critical velocity or disappearance of superflow of solid helium.