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The Diffuse Interface Approach in Materials Science : Thermodynamic Concepts and Applications of Phase-Field Models / by Heike Emmerich.

Math/Physics/Astronomy Library
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Format:
Book
Author/Creator:
Emmerich, Heike., Author.
Series:
Lecture Notes in Physics Monographs, 0940-7677 ; 73
Language:
English
Subjects (All):
Condensed matter.
Chemistry, Physical and theoretical.
Materials science.
Computer science--Mathematics.
Computer science.
Thermodynamics.
Condensed Matter Physics.
Theoretical and Computational Chemistry.
Characterization and Evaluation of Materials.
Computational Science and Engineering.
Local Subjects:
Condensed Matter Physics.
Theoretical and Computational Chemistry.
Characterization and Evaluation of Materials.
Computational Science and Engineering.
Thermodynamics.
Physical Description:
1 online resource (VIII, 180 p.)
Edition:
1st ed. 2003.
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
Language Note:
English
Summary:
Many inhomogeneous systems involve domains of well-de'ned phases se- rated by a distinct interface. If they are driven out of equilibrium one phase will grow at the cost of the other. Examples are phase separation by sp- odal decomposition or nucleation and subsequent growth of the nucleus in the nourishing phase [139]. Another example which has often been discussed as a paradigmatic problem is that of dendritic solidi'cation [29, 64, 79, 199]. The phenomenological description of these phenomena involves the de?- tion of a precisely located interfacial surface on which boundary conditions are imposed. One of those boundary conditions typically yields a normal - locity at which the interface is moving. This is the so-calledsharp interface approach, adopted both in analytical and numerical studies for a variety of contexts involving a moving boundary. The origin of such a description is - ten transparent, being obtained by symmetry arguments and common sense.
Contents:
What Is an Interface? Interfaces in Materials Science and Beyond
Equilibrium Thermodynamics of Multiphase Systems: Thermodynamic Potentials and Phase Diagrams
Thermodynamic Concepts of Phase-Field Modeling
Asymptotic Analysis
Application of Diffuse Interface Modeling to Hydrodynamically Driven Growth
Application to Epitaxial Growth Involving Elasticity
Conclusions and Perspectives.
Notes:
"Physics and Astronomy."
Includes bibliographical references and index.
ISBN:
3-540-36409-9

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