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Kinetics and morphology of nonequilibrium growth of ice in supercooled water

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Abstract

The kinetics of free growth of ice in a distilled-water film supercooled to −30°C was studied by the video recording technique in the polarized light. In the supercooling range 12 < ΔT < 16 K, a first-order kinetic morphological transition was observed between the structure formed by needlelike crystals of ice and the quasiadiabatic “structure” of single grains having the shape of planar platelets with the thickness proportional to the thickness of the water film and relative supercooling. It was found that this transition is accompanied by jumplike changes in the main crystallization parameters such as the growth rate of grains, their size and number, their kinetic behavior, and the fractal dimension of the structure.

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References

  1. P. G. Saffman and G. I. Taylor, Proc. R. Soc. London 245(2), 312 (1958).

    ADS  MathSciNet  Google Scholar 

  2. Ya. B. Zel’dovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhvaladze, Mathematical Theory of Combustion and Explosion (Nauka, Moscow, 1980).

    Google Scholar 

  3. G. Daccord, Nature, No. 325, 41 (1987).

  4. J. Nittman and H. E. Stanley, Nature 321, 663 (1986).

    ADS  Google Scholar 

  5. T. A. Witten and L. M. Sander, Phys. Rev. B27, 5686 (1983).

    ADS  MathSciNet  Google Scholar 

  6. G. Caldarelli, C. Castellano, and A. Vespignani, Phys. Rev. E 49(4), 2673 (1994).

    Article  ADS  Google Scholar 

  7. G. Yu. Ivanyuk, Fiz. Zemli, No. 3, 21 (1997).

  8. C. Misbah and H. Müller-Kurmbhaar, Ann. Phys. (Paris) 19, 601 (1994).

    Google Scholar 

  9. J. S. Langer, Science 243(3), 1150 (1989).

    ADS  MathSciNet  Google Scholar 

  10. D. A. Kessler, J. Koplik, and A. Levine, Adv. Phys. 37(3), 255 (1988).

    Article  ADS  Google Scholar 

  11. K. Kassner, C. Misbah, H. Müller-Krumbhaar, and A. Valance, Phys. Rev. E 49(6), 5477 (1994).

    ADS  MathSciNet  Google Scholar 

  12. K. Kassner, C. Misbah, H. Müller-Krumbhaar, and A. Valance, Phys. Rev. E 49(6), 5495 (1994).

    ADS  MathSciNet  Google Scholar 

  13. J. S. Langer and H. Müller-Krumbhaar, J. Cryst. Growth 42, 11 (1977).

    Article  Google Scholar 

  14. V. Laxmanan, Acta Metall. Mater. 33(6), 1023 (1985).

    ADS  Google Scholar 

  15. E. Ben-Jacob and P. Garik, Physica D (Amsterdam) 38, 16 (1989).

    ADS  MathSciNet  Google Scholar 

  16. G. Nicolis and I. Prigogine, Self-Organization in Non-Equilibrium Systems (Wiley, New York, 1977; Mir, Moscow, 1979).

    Google Scholar 

  17. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1983).

    Google Scholar 

  18. M. J. Feigenbaum, Usp. Fiz. Nauk 141(2), 343 (1983); Los Alamos Sci. 1 (1), 14 (1980).

    Google Scholar 

  19. W. W. Mullins and R. F. Sekerka, J. Appl. Phys. 34(2), 323 (1963).

    Article  Google Scholar 

  20. K. Ohsaka and E. H. Trinh, J. Cryst. Growth 194, 138 (1998).

    Article  Google Scholar 

  21. N. Maeno, The Science of Ice (Hokkaido Univ. Press, Sapporo, 1984; Mir, Moscow, 1988).

    Google Scholar 

  22. K. Koo, R. Ananth, and W. N. Gill, Phys. Rev. A 44(6), 3782 (1991).

    Article  ADS  Google Scholar 

  23. J. Feder, Fractals (Plenum, New York, 1988; Mir, Moscow, 1991).

    Google Scholar 

  24. K. Nagahima and Y. Furukawa, J. Cryst. Growth 171, 577 (1997).

    Google Scholar 

  25. E. Brener, H. Müller-Krumbhaar, D. Temkin, and T. Abel, Physica A (Amsterdam) 249, 73 (1998).

    Google Scholar 

  26. G. P. Ivantsov, Dokl. Akad. Nauk SSSR 58(4), 567 (1947).

    Google Scholar 

  27. W. B. Hillig, J. Cryst. Growth 183, 463 (1998).

    Article  Google Scholar 

  28. E. A. Brener, S. V. Iordanskii, and V. I. Mel’nikov, Zh. Éksp. Teor. Fiz. 94(12), 320 (1988) [Sov. Phys. JETP 67, 2574 (1988)].

    ADS  Google Scholar 

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Translated from Kristallografiya, Vol. 46, No. 3, 2001, pp. 549–555.

Original Russian Text Copyright © 2001 by Shibkov, Golovin, Zheltov, Korolev, Vlasov.

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Shibkov, A.A., Golovin, Y.I., Zheltov, M.A. et al. Kinetics and morphology of nonequilibrium growth of ice in supercooled water. Crystallogr. Rep. 46, 496–502 (2001). https://doi.org/10.1134/1.1376484

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  • DOI: https://doi.org/10.1134/1.1376484

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