TY  - BOOK
AU  - Emmerich, Heike
AU  - Emmerich, Heike
TI  - The diffuse interface approach in materials science : : thermodynamic concepts and applications of phase-field models
T2  - Lecture notes in physics., New series m, Monographs ; m73
SN  - 9783642055836
U1  - 620.11 EMM 
PY  - 2003///
CY  - Berlin ; New York 
PB  - : Springer-Verlag
KW  - Engineering
KW  - Materials science
KW  - Interfaces
KW  - Physical Science
KW  - Thermodynamics
KW  - Thermodynamic equilibrium
N1  - 	1. Introduction --
1.1. Structure and Scope of This Work --
2. What Is an Interface? --
3. Equilibrium Thermodynamics of Multiphase Systems: Thermodynamic Potentials and Phase Diagrams --
3.1. Calculating Phase Diagrams from Energy Functionals --
3.2. Abstracted Phase Diagrams --
4. Thermodynamic Concepts of Phase-Field Modeling --
4.1. Derivation of Transport Equations --
4.2. Introducing the Phase-Field Variable [phi] --
4.3. Thermodynamic Consistency --
4.4. Appendix --
5. Asymptotic Analysis --
5.1. A Formal Mathematical Approach Towards Matching --
5.2. Asymptotic Matching for Thin Film Epitaxial Growth --
5.3. A Generalized Approach Towards the Asymptotic Analysis of Diffuse Interface Models --
5.4. Discussion
N2  - 	
"The book is devoted to the application of phase-field (diffuse interface) models in materials science. In materials science phase-field modeling emerged only recently as a theoretical approach to tackle questions concerning the evolution of materials microstructure, the relation between microstructure and materials properties and the transformation and evolution of different phases. This volume brings together the
ER  -