Rayleigh-Taylor instability of crystallization waves at the superfluid-solidH4einterface

Abstract

At the superfluid-solid 4He interface there exist crystallization waves having much in common with gravitational-capillary waves at the interface between two normal fluids. The Rayleigh-Taylor instability is an instability of the interface which can be realized when the lighter fluid is propelling the heavier one. We investigate here the analogs of the Rayleigh-Taylor instability for the superfluid-solid 4He interface. In the case of a uniformly accelerated interface the instability occurs only for a growing solid phase when the magnitude of the acceleration exceeds some critical value independent of the surface stiffness. For the Richtmyer-Meshkov limiting case of an impulsively accelerated interface, the onset of instability does not depend on the sign of the interface acceleration. In both cases the effect of crystallization wave damping is the reduction in the perturbation growth rate of the Taylor unstable interface.

Quantum Crystal Oscillations in a Superfluid Liquid

“…In this limit the movement of the crystal surface is practically compensated by its remelting, so that the surface is nearly motionless. The harmonics with l ≥ 2 have the following spectrum [5] …”

Effect of Surface Tension and Rotation on Rayleigh-Taylor Instability of Two Superposed Fluids with Suspended Particles

“…The R-T instability has much importance in laser fusion, space plasma, astrophysical plasmas, laboratory plasma and in chemical engineering processes in industries [1][2][3]. It generally occurs under gravity whenever the heavy fluid is accelerated by the light ones.…”

On the transmission of crystallisation waves across the edge between the rough and faceted crystalline surfaces in superfluid 4He

“…The presence of singularity in the behaviour of surface tension or nonzero crystal step energy results also in a number of interesting phenomena at the faceted 4 He crystal surface, e.g. amplitude-dependent velocity of traveling waves [5,6], quantum fingering of the inverted liquid-crystal interface in the field of gravity [11], Rayleigh-Taylor instability with generating the crystallisation waves [12], and electrohydrodynamical instability [13] with breaking the faceted state down.…”