This lecture covers the modeling and simulation of non-equilibrium transformations in high-performance alloys, focusing on kinetic modeling, solidification, and diffusion processes. It discusses the Scheil-Gulliver solidification model, modified models with fast diffusers and back-diffusion, multicomponent diffusion theory, and atomic mobilities. The presentation also includes examples of diffusion simulation modules and precipitation reactions, such as carbide precipitation in Fe-based shape memory alloys.