Towards a quantitative phase-field modeling of two-phase solidification

We construct a diffuse-interface model of two-phase solidification that quantitatively reproduces the classic free boundary problem on solid-liquid interfaces in the thin-interface limit. Convergence tests and comparisons with boundary integral simulations of eutectic growth show good accuracy for steady-state lamellae, but results for limit cycles depend on the interface thickness through the trijunction behavior. This raises the fundamental issue of diffuse multiple junction dynamics.