Liquid-solid interface inertia

Abstract

We remark that, during crystallization or melting, due to the structural difference between solid and liquid, the atoms have to rearrange themselves at the interface. This results in a supplementary surface « kinetic » energy. We examine the consequence of this term in the case of 4He where the interface is very mobile. The dispersion relation for crystallization waves becomes linear : ω = c0 k. The phonon transmission through the interface is enhanced. The Kapitza resistance is thus decreased, but presents always the anomalous dependence R K ∝ T-5 predicted by Marchenko and Parshin on other grounds