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Morphology and selection processes in diffusion-controlled growth patterns

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  • Müller-Krumbhaar, H.
  • Zimmer, M.
  • Ihle, T.
  • Saito, Y.

Abstract

The evolution and selection of fractal and compact growth patterns is described. As a particular example the growth of a supercritical nucleus occurring during typical first-order phase transitions and its behaviour at long times and large lengths is discussed. While the generic growth mode is the dendritic growth, we discuss also the recently discovered doublon-growth in two dimensions and the occurrence of fractal growth at low driving forces. Finally numerical and analytical results on the competition of two or more growth patterns along a growth front are presented.

Suggested Citation

  • Müller-Krumbhaar, H. & Zimmer, M. & Ihle, T. & Saito, Y., 1996. "Morphology and selection processes in diffusion-controlled growth patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 322-337.
    • Handle: RePEc:eee:phsmap:v:224:y:1996:i:1:p:322-337
    DOI: 10.1016/0378-4371(95)00390-8
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    References listed on IDEAS

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    1. Brener, E. & Ihle, T. & Müller-Krumbhaar, H. & Saito, Y. & Shiraishi, K., 1994. "Fluctuation effects on dendritic growth morphology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 96-110.
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    Cited by:

    1. Shibkov, A.A. & Golovin, Yu.I. & Zheltov, M.A. & Korolev, A.A. & Leonov, A.A., 2003. "Morphology diagram of nonequilibrium patterns of ice crystals growing in supercooled water," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 65-79.

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