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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.
Autorius: | Heike Emmerich |
Serija: | Lecture Notes in Physics Monographs |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 2011 |
Knygos puslapių skaičius: | 192 |
ISBN-10: | 3642055834 |
ISBN-13: | 9783642055836 |
Formatas: | 235 x 155 x 11 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „The Diffuse Interface Approach in Materials Science: Thermodynamic Concepts and Applications of Phase-Field Models“