Abstract
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.
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References
Liu, Fong and Goldenfeld, Nigel. 1990. “Generic features of late-stage crystal growth.” Phys. Rev. A, 42, 895–903.
Liu, Fong and Goldenfeld, Nigel. 1991. “Deterministic lattice model for diffusion-controlled crystal growth.” Physica D, 47, 124–131.
Rappaz, Michel and Kurz, Wilfried. 1995. “Dendrite solidified by computer.” Nature, 375 (5/11/95), 103.
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© 1996 Springer Science+Business Media New York
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Gaylord, R.J., Nishidate, K. (1996). Solidification. In: Modeling Nature. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9405-1_5
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DOI: https://doi.org/10.1007/978-1-4684-9405-1_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94620-7
Online ISBN: 978-1-4684-9405-1
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