The Diffuse Interface Approach in Materials Science

Heike Emmerich

ISBN 10: 3540004165 / ISBN 13: 9783540004165

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 2003, 2003

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 192 pp. Englisch.

Seller Inventory # 9783540004165

Bibliographic Details

• Title: The Diffuse Interface Approach in Materials Science
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Mär 2003
• Publication Date: 2003
• Language: English
• ISBN 10: 3540004165
• ISBN 13: 9783540004165
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 17D millimeters 241 millimeters width by 160 millimeters height by 17 millimeters depth
• Weight: 457 grams

About this title

Synopsis

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.

Review

From the reviews:

"In total, this very interesting book gives a modern understanding of the problems of phase-field modeling, and may be useful for students and specialists working in this and in related scientific fields." (Zentralblatt MATH 2004, vol. 1039, page 51)

"This book is devoted to an application of the diffuse interface approach to different interfacial growth phenomena, as a whole, and to a discussion of the difference between the sharp interface limit and diffuse interface limit of a phase-field model, in particular. ... In total, this very interesting book gives a modern understanding of the problems of phase-field modeling, and may be useful for students and specialists working in this and in related scientific fields." (I. A. Parinov, Zentralblatt MATH, Vol. 1039 (8), 2004)