Phase-field simulations of crystal growth

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Abstract

This course gives an elementary introduction to the phase-field method and to its applications for the modeling of crystal growth. Two different interpretations of the phase-field variable are given and discussed. It can be seen as a physical order parameter that characterizes a phase transition, or as a smoothed indicator function that tracks domain boundaries. Elementary phase-field models for solidification and epitaxial growth are presented and are applied to the dendritic growth of a pure substance and the step-flow growth on a vicinal surface.

Original languageEnglish
Title of host publicationSelected Topics on Crystal Growth - 14th International Summer School on Crystal Growth, ISSCG14
Pages247-254
Number of pages8
DOIs
Publication statusPublished - 20 Aug 2010
Event14th International Summer School on Crystal Growth, ISSCG14 - Dalian, China
Duration: 1 Aug 20107 Aug 2010

Publication series

NameAIP Conference Proceedings
Volume1270
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference14th International Summer School on Crystal Growth, ISSCG14
Country/TerritoryChina
CityDalian
Period1/08/107/08/10

Keywords

  • epitaxial growth
  • numerical simulations
  • phase-field models
  • solidification

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