1. A Brief History of Phase Field Modelling. 2. Overview of the Book. 3. Recap of Grand Potential Thermodynamics. 4. Grand Potential Phase Field Functional. 5. Phase Field Dynamics. 6. Re-Casting the Phase Field Equations for Quantitative Simulations. 7. Equilibrium Properties of Grand Potential Funcional. 8. Thermal Fluctuations in the Phase Field Equations. 9. Special Cases of the Grand Potential Phase Field Model. 10. Application: Phase Field Modelling of Ternary Alloys. 11. Interpreting Asymptotic Analyses of Phase Field Models. 12. The Regime of Rapid Solidification. 13. Modelling Continuous Growth Kinetics in the Diffuse Interface Limit of the Grand Potential Phase Field Equations. 14. Applications: Phase Field Simulations of Rapid Solidificaation of a Binary Alloy
This book presents a study of phase field modelling of solidification in metal alloy systems. It is divided in two main themes.