The goal of this book is to describe basic approaches to modelling non-isothermal interaction kinetics during CS of advanced materials and reveal the existing controversies and apparent contradictions between different theories, on one hand, and between theory and experimental data, on the other hand, and to develop criteria for a transition from traditional solid-state diffusion-controlled phase formation kinetics (a "slow", quasi-equilibrium interaction pathway) to non-equilibrium, "fast" dissolution-precipitation route.