抄録
The phase-field models developed in the field of solidification and crystal growth are explained with a focus on the models for dendritic growth in pure substances and alloys. The diffuse interface description, free energy functional, and variational derivation of phase-field equation with inclusion of anisotropy of solid-liquid interfacial energy are described. In addition,the essential points of the Kim-Kim-Suzuki’s model and the quantitative phase-field model for alloy solidification are briefly discussed.