Focusing on the hodograph equation's application in phase transformations, this book explores crystallization and solidification in condensed matter. It interprets phase-field equations for both isotropic and anisotropic interfaces, utilizing advanced Gibbs-Thomson and Herring conditions. Starting with foundational concepts of extended irreversible thermodynamics, it develops a kinetic phase-field model that accommodates both slow and rapid phase transformations, culminating in a unified hodograph equation.
