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An analysis of the morphological transitions during nonequilibrium growth of a cylindrical crystal from solution

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Abstract

Using linear stability analysis and the principle of maximum entropy production, the complete morphological phase diagrams (including stable, metastable, and labile phase regions) were calculated for the morphology selection during the continuous growth of an infinite cylindrical crystal from solution. The calculation was performed with an allowance for an arbitrary kinetics at the growth surface and linear dependence of the growth rate on the degree of supersaturation. It was found that the three and more morphological phases may coexist in the system under kinetically controlled and intermediate growth conditions.

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References

  1. Y. Sawada, B. Perrin, P. Tabeling, et al., Phys. Rev. A 43, 5537 (1991).

    Article  ADS  Google Scholar 

  2. A. A. Shibkov, Yu. I. Golovin, M. A. Zheltov, et al., Kristallografiya 46(3), 549 (2001) [Crystallogr. Rep. 46, 496 (2001)].

    Google Scholar 

  3. O. Shochet and E. Ben-Jacob, Phys. Rev. E 48, R4168 (1993).

  4. L. M. Martiouchev and V. D. Seleznev, Dokl. Akad. Nauk 371(4), 466 (2000) [Dokl. Phys. 45, 129 (2000)].

    Google Scholar 

  5. L. M. Martiouchev, V. D. Seleznev, and I. E. Kuznetsova, Zh. Éksp. Teor. Fiz. 118(1), 149 (2000) [JETP 91, 132 (2000)].

    Google Scholar 

  6. H. Ziegler, in Progress in Solid Mechanics, Ed. by I. N. Sneddon and R. Hill (North-Holland, Amsterdam, 1963; Mir, Moscow, 1966), Vol. 4, Chap. 2.

    Google Scholar 

  7. G. R. Kotler and W. A. Tiller, in Crystal Growth: Proceedings of the International Conference on Crystal Growth (Boston, 1966), Ed. by H. S. Peiser (Pergamon, Oxford, 1967; Mir, Moscow, 1968).

    Google Scholar 

  8. W. W. Mullins and R. F. Sekerka, J. Appl. Phys. 34, 323 (1963).

    Article  Google Scholar 

  9. S. R. Coriell and R. L. Parker, J. Appl. Phys. 36, 632 (1965).

    Article  Google Scholar 

  10. S. R. de Groot and P. Mazur, Nonequilibrium Thermodynamics (North-Holland, Amsterdam, 1962; Mir, Moscow, 1964).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Industrial Ecology, Ural Division, Russian Academy of Sciences, Yekaterinburg, Russia

    L. M. Martiouchev & E. M. Sal’nikova

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  1. L. M. Martiouchev
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  2. E. M. Sal’nikova
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Translated from Pis’ma v Zhurnal Tekhnichesko\(j_k \sim 1/\sqrt[4]{\tau }\) Fiziki, Vol. 28, No. 6, 2002, pp. 57–65.

Original Russian Text Copyright © 2002 by Martiouchev, Sal’nikova.

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Martiouchev, L.M., Sal’nikova, E.M. An analysis of the morphological transitions during nonequilibrium growth of a cylindrical crystal from solution. Tech. Phys. Lett. 28, 242–245 (2002). https://doi.org/10.1134/1.1467289

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  • DOI: https://doi.org/10.1134/1.1467289

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