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Abstract

The multi-phase-field approach is generalized to treat diffusion, driven by mean curvature, parallel to surfaces between a condensed phase and its vapor as well as diffusion parallel to boundaries between condensed phases, ’phase-boundary diffusion’. Additionally, we present a treatment of surface-tension/energy for elastic bodies within the multi phase-field framework. The model is validated against the Young- Laplace law for the pressure gradient across the interface of spherical bodies and the prediction of Neumann’s triangle relation for the force equilibrium at triple junctions. It is applied to thermal grooving and to the solid state sintering process of two spheres.