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The Diffuse Interface Approach in Materials Science

Thermodynamic Concepts and Applications of Phase-Field Models

Medium: Buch
ISBN: 978-3-540-00416-5
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 24.03.2003
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9783540004165
  • Medium: Buch
  • ISBN: 978-3-540-00416-5
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 24.03.2003
  • Sprache(n): Englisch
  • Auflage: 2003
  • Serie: Lecture Notes in Physics Monographs
  • Produktform: Gebunden
  • Gewicht: 457 g
  • Seiten: 180
  • Format (B x H x T): 160 x 241 x 17 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.