Deterministic lattice model for diffusion-controlled crystal growth

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An efficient lattice model is developed to study the stages of diffusion-controlled crystal growth. We establish the existence of a dense branching morphology and its relation to diffusion-limited aggregation. We find a clear morphological transition from kinetic-effect-dominated growth to surface-tension-dominated growth, marked by a difference in the way growth velocity scales with undercooling. We also study the evolution of interfacial instability and find a scaling behaviour for the interface power spectra, indicating the non-linear selection of a unique length scale.

Original languageEnglish (US)
Pages (from-to)124-131
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Issue number1-2
StatePublished - Jan 1 1991

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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