• Richard J. Gaylord
  • Kazume Nishidate


Solidification is a process in which crystals form in a supercooled melt. The crystallization process itself produces some effects that tend to inhibit crystal growth: the diffusion of latent heat at the solid-liquid interface and surface tension. We present a deterministic cellular automaton model of crystal growth (Liu and Goldenfeld, 1990) that explicitly incorporates these two growth inhibition effects.


Latent Heat Growth Inhibition Effect Local Interface Phase Transformation Process Graphic Show 
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  1. Liu, Fong and Goldenfeld, Nigel. 1990. “Generic features of late-stage crystal growth.” Phys. Rev. A, 42, 895–903.Google Scholar
  2. Liu, Fong and Goldenfeld, Nigel. 1991. “Deterministic lattice model for diffusion-controlled crystal growth.” Physica D, 47, 124–131.ADSCrossRefGoogle Scholar
  3. Rappaz, Michel and Kurz, Wilfried. 1995. “Dendrite solidified by computer.” Nature, 375 (5/11/95), 103.ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Richard J. Gaylord
    • 1
  • Kazume Nishidate
    • 2
  1. 1.Dept. of Materials ScienceUniversity of IllinoisUrbana-Champaign, UrbanaUSA
  2. 2.Dept. of Electrical and Electronic Engineering, Faculty of EngineeringIwate UniversityMorioka 020Japan

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