Morphological instability of a solid sphere of dilute ternary alloy growing by diffusion from its melt

Jérôme Colin*, Peter W. Voorhees

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The diffusion-limited growth of an initially spherical particle of dilute ternary alloy in contact with its melt has been studied from a theoretical point of view and the effects of interface kinetics and multicomponent diffusion have been characterized on the development of a shape perturbation of the sphere. When both concentrations of the diffusing species are imposed in the far-field, the different radii related to the absolute and relative stability of the particle with respect to the development of spherical harmonics have been determined when a linear kinetics law is considered for the solid/liquid interface. The development of the shape fluctuations of the sphere has been also characterized when the flux of both species are set in the far-field.

Original languageEnglish (US)
Pages (from-to)17-20
Number of pages4
JournalJournal of Crystal Growth
Volume448
DOIs
StatePublished - Aug 15 2016

Keywords

  • A1. Crystal morphology
  • A1. Growth models
  • A1. Morphological stability
  • B1. Alloys

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Inorganic Chemistry
  • Materials Chemistry

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