The interplay of morphological and compositional evoltion in crystal growth: a phase-field model

Research output: Contribution to journalResearch articleContributedpeer-review



We present a closed and consistent model for growth phenomena of binary systems. Starting with the free energy of mixtures, a mean-field description of the material is derived that accounts for morphological as well as compositional evolution, which are strongly coupled to each other. The derived phase-field model describes surface effects, e.g. surface diffusion and anisotropic surface tension, as well as codiffusion in the evolving bulk phase. The model leads to a set of nonlinear partial differential equations of high order, which are solved simultaneously using adaptive finite elements and used to analyse the interplay of growth, surface and compositional dynamics. The external driving force is a mass flux from a fluid or vapour phase which allows to control the growth process.


Original languageEnglish
Pages (from-to)2162-2169
Number of pages8
JournalPhilosophical Magazine
Issue number19
Publication statusPublished - 2014

External IDs

ORCID /0000-0003-2564-3697/work/24879641
WOS 000337617600004
Scopus 84902857177



  • crystal growth, surface diffusion, compositional evolution, binary system, phase field modeling