Evolution of microstructure occurs in many alloy systems at elevated temperatures. Such a phenomenon is usually controlled by diffusion. On the basis of Fick's first and second laws, diffusion can be described mathematically. In the present lecture, various mathematical methods describing diffusion will be explained in detail.
1. Introduction 2. Fick's first law 3. Fick's second law 4. Analytical solution of diffusion equation 5. Application of analytical solution to various problems 6. Boltzmann-Matano analysis 7. Darken's analysis 8. Migration of interface