Thermal Oscillation Modes of the Solid-Liquid Interface Solidification and Melting

Abstract

Oscillation modes of the solid-liquid (S/L) interface using a non-linear equation for thermal transfer are analysed. Thus, the solidification is achieved by dark cnoidal oscillation modes and the melting by bright cnoidal oscillation modes of this interface. We show the S/L interface self-structurates as a non-linear Toda lattice and then specify some of its properties.