The Diffuse Interface Approach in Materials Science: Thermodynamic Concepts and Applications of Phase-Field Models (Lecture Notes in Physics Monographs, 73, Band 73) - Hardcover

Emmerich, Heike

 
9783540004165: The Diffuse Interface Approach in Materials Science: Thermodynamic Concepts and Applications of Phase-Field Models (Lecture Notes in Physics Monographs, 73, Band 73)

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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.

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9783642055836: The Diffuse Interface Approach in Materials Science: Thermodynamic Concepts and Applications of Phase-Field Models (Lecture Notes in Physics Monographs, Band 73)

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ISBN 10:  3642055834 ISBN 13:  9783642055836
Verlag: Springer, 2011
Softcover