We study the solidification problem in the syntectic system, which is initiated by the syntectic reaction at the liquid-liquid interface, the subsequent transformation occurring as growth of the solid zone along the liquid-liquid interface. Method of choice is the boundary-integral technique, using the framework developed earlier for the solidification of monotectics. This boundary-integral formulation is designed for the modeling of one liquid-liquid and two solid-liquid interfaces. The solidification takes place along the liquid-liquid boundary, and the solid phase appears as a finger-like shape.
In the syntectic system, the liquid-liquid mixture is the metastable state below the syntectic temperature for the whole range of concentrations of the syntectic plateau. This is different from the monotectic phase diagram, where below the monotectic temperature three possible metastable states exist. In this work, to complete the study of the phase transition in the monotectic system, we investigate patterns by the phase-field method which are obtained for the two remaining possible metastable states, i.e., a single liquid phase and a solid-liquid equilibrium.