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Morphology diagram of possible structures in diffusional growth

Author

Listed:
  • Brener, E.
  • Müller-Krumbhaar, H.
  • Temkin, D.
  • Abel, T.

Abstract

A theory for the morphology diagram of possible structures in two-dimensional diffusional growth is presented. The main control parameters are undercooling Δ, anisotropy of surface tension ε and the strength of noise. Basic patterns are dendrites and seaweed. The building block of the dendritic structure is a dendrite with parabolic tip, and the basic element of the seaweed structure is a doublon. The transition between these structures shows a jump in the growth velocity. The possible extension of these results to three-dimensional growth is shortly discussed.

Suggested Citation

  • Brener, E. & Müller-Krumbhaar, H. & Temkin, D. & Abel, T., 1998. "Morphology diagram of possible structures in diffusional growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 73-81.
    • Handle: RePEc:eee:phsmap:v:249:y:1998:i:1:p:73-81
    DOI: 10.1016/S0378-4371(97)00433-0
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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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