Melting of alloys along the inter-phase boundaries in eutectic and peritectic systems

TL;DR

This paper presents a simple diffusion-based model for melting kinetics along solid-solid interfaces in eutectic and peritectic systems, highlighting the role of triple junctions and deriving scaling laws for steady-state velocities.

Contribution

It introduces a new model using lubrication approximation to analyze melting along inter-phase boundaries, emphasizing the importance of triple junctions in velocity selection.

Findings

Derived scaling laws for melting velocity based on overheating and material parameters

Identified the critical role of triple junctions in the melting process

Provided analytical expressions relating interface angles to melting dynamics

Abstract

We discuss a simple model of the melting kinetics along the solid-solid interface in eutectic and peritectic systems. The process is controlled by the diffusion inside the liquid phase and the existence of a triple junction is crucial for the velocity selection problem. Using the lubrication approximation for the diffusion field in the liquid phase we obtain scaling results for the steady-state velocity of the moving pattern depending on the overheating above the equilibrium temperature and on the material parameters of the system, including the dependences on the angles at the triple junction.