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Zhao, Y.; Billings, S.A.; Coca, D.; Ristic, R.; Matos, L. (2007)
Publisher: Automatic Control and Systems Engineering, University of Sheffield
Languages: English
Types: Book
A new method of identifying the spatio-temporal transition rule of crystal growth is introduced based on the connection between growth kinetics and dentritic\ud morphology. Using a modified three-point-method, curvatures of the considered crystal branch are calculated and curvature direction is used to measure growth\ud velocity. A polynomial model is then produced based on a curvature-velocity relationship to represent the spatio-temporal growth process. A very simple simulation\ud example is used initially to clearly explain the methodology. The results of identifying a model from a real crystal growth experiment show that the proposed\ud method can produce a good representation of crystal growth.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] Murray Eden, ”A two-dimensional growth process,” 4th. Berkeley symposium on mathematics statistics and probability, vol.4, pp.223-239, 1956.
    • [3] T.A. Witten and L.M. Sander, ”Diffusion-limited Aggregation, a Kinetic Critical Phenomenon”, Physical REview Letters, vol.47, pp.1400-1403, 1981.
    • [4] T.Williams and R.Rjerknes, ”Stochastic model for abnormal clone spread through epithelial based layer,” Nature, vol.236, pp.19-21, 1972.
    • [5] D.Mollison, ”Conjecture on the spread of infection in two dimensions disproved,” Nature, vol.240, pp.467-768, 1972.
    • [6] P.Meakin, ”Cluster-growth processes on a two-diemensional lattice,” Physical Review, vo.B28, pp.6718-6732, 1983.
    • [7] M.J.Vold, ”Computer simulation of floc formation in a colloidal suspension,” Journal of colloid science, vol.18, pp.684-695, 1963
    • [8] Paul Meakin, Fractals, scaling and growth far from equilibrium, Cambridge university Press, 1998.
    • [9] Y.Zhao and S.A.Bilings, ”Identification of Crystal Growth using Cellular Automata Models”, Research Report No.593 of AC&SE, University of Sheffield, 2007.
    • [10] M.E.Glicksman and S.C. Huang, ”Convective Heat Transfer During Dendritic Growth”, Convective Transport and Instability Phenomena, ed. Zierep and Ortel, Karlsruhe, (1982), 557.
    • [11] Y.Zhao and S.A.Billings, ”Identification of the Belousov-Zhabotinskii Reaction using Cellular Automata Models”, International Journal of Bifucation and Chaos, vol.17, No.5, pp.1687-1701, 2007.
    • [12] M.Korenberg, S.A.Billings, ”Orthogonal parameter estimation algorithm for nonlinear stochastic systems,” International journal of control, vol.48, no.1, pp.193-210, 1988.
    • [13] M.E.Glicksman, ”Effects of crystal-melt interfacial energy anisotropy on dedritic morphology and growth kinetics,” Journal of Crystal Grwoth, vol.98, pp.277-284, 1989.
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