The Diffuse Interface Approach in Materials Science : Thermodynamic Concepts and Applications of Phase-Field Models
Overview
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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Details
- ISBN-13: 9783540004165
- ISBN-10: 3540004165
- Publisher: Springer
- Publish Date: March 2003
- Dimensions: 9.21 x 6.14 x 0.69 inches
- Shipping Weight: 1.2 pounds
- Page Count: 180
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