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A stochastic model of three-dimensional crystal growth

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Abstract

This paper describes a stochastic model of crystallization from a gas or dilute solution. The model is limited to a crystal of rectangular symmetry whose surface has nonzero Miller indices. By a mapping into the modified KDP model, the kinetic growth coefficient can be given approximately as an analytic function of the Miller indices of the surface. Numerical simulations indicate that the aproximation is accurate within a few percent at all surface orientations.

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References

  1. E. H. Lieb and F. Y. Wu, inPhase Transitions and Critical Phenomena, Vol. 1, C. Domb and M. S. Green, eds. (Academic Press, 1972).

  2. F. Y. Wu,Phys. Rev. 168:539 (1968).

    Google Scholar 

  3. H. W. J. Blöte and H. J. Hilhorst,J. Phys. A 15:L631 (1982); see also B. Nienhuis, H. J. Hilhorst, and H. W. J. Blöte,J. Phys. A 17:3359 (1984).

    Google Scholar 

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Garrod, C. A stochastic model of three-dimensional crystal growth. J Stat Phys 63, 987–1003 (1991). https://doi.org/10.1007/BF01029994

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  • DOI: https://doi.org/10.1007/BF01029994

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