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Ostwald ripening in a two-dimensional system: Correlation effects

Oleg Krichevsky and Joel Stavans

  • Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel

Phys. Rev. E 52, 1818 – Published 1 August, 1995

DOI: https://doi.org/10.1103/PhysRevE.52.1818

Abstract

We report results from an experimental study of coarsening in thin layers of succinonitrile in the presence of impurities. By quenching the latter from the liquid phase to different temperatures within the liquid-solid coexistence region, different solid area fractions φ are obtained. As φ is incresed from 0.13 to 0.40, liquidlike order develops among the coarsening crystals due to diffusional interactions. The latter give rise to local correlations between the size and rate of growth of crystals within a neighborhood of size ξ(φ). We study these and compare our findings with recent theoretical models of coarsening.

References (40)

  1. For a review see J. D. Gunton, M. San Miguel, and P. S. Sahni, in Phase Transitions and Critical Phenomena, edited by C. Domb (Academic, New York, 19xx), Vol. 8, and references therein.
  2. W. Ostwald, Grundriss, der Allgem. Chemie (Macmillan, London, 1908), p. 96; Foundations of Analytic Chemistry, 3rd English ed. (Macmillan, London, 1908), p. 22; Principles of Inorganic Chemistry (Macmillan, London, 1902), p. 258.
  3. I. M. Lifshitz and V. V. Slyozov, Zh. Eksp. Teor. Fiz. 35, 479 (1958) [Sov. Phys. JETP 8, 331 (1959)]; , J. Phys. Chem. Solids 19, 35 (1961) , Sov. Phys. Solid State 1, 1285 (1960).
  4. C.Wagner, Z. Elektrochem. 65, 581 (1961).
  5. P. K. Rastogi and A. J. Ardell, Acta. Metall. 19, 321 (1971).
  6. D. H. Jack and R. W. K. Honeycombe, Acta. Metall. 20, 787 (1972).
  7. Y.Seno et al., Trans. Jpn. Inst. Met. 24, 491 (1983).
  8. G. P. Wirtz and M. E. Fine, J. Am. Ceram. Soc. 51, 402 (1968).
  9. T. Hirata and D. H. Kirkwood, Acta. Metall. 25, 1425 (1977).
  10. D. J. Chellman and A. J. Ardell, Acta. Metall. 22, 577 (1974).
  11. S. C. Hardy and P. W. Voorhees, Metall. Trans. A 19, 2713 (1988).
  12. A. N. Niemi and T. H. Courtney, J. Mater. 29, 226 (1981).
  13. S. S. Kang and D. N. Yoon, Metall. Trans. A 13, 1405 (1982).
  14. P. W. Voorhees, G. B. McFadden, R. F. Boisvert and D. I. Meiron, Acta Metall. 36, 207 (1988).
  15. N. Akaiwa and P. W. Voorhees, Phys. Rev. E 49, 3860 (1994).
  16. P. W. Voorhees and M. E. Glocksman, Acta. Metall. 32, 2001 (1984).
  17. J. H. Yao, K. R. Eldeer, H. Guo and M. Grant, Phys. Rev. B 45, 8173 (1992); Physica (Amsterdam) 204A, 770 (1994).
  18. P. W. Voorhees and R. J. Schaefer, Acta Metall. 35, 327 (1987).
  19. J. J. Weins and J. W. Cahn, in Sintering and Related Phenomena, edited by G. C. Kuczynski (Plenum, London, 1973), p. 151.
  20. J. A. Marqusee and J. Ross, J. Chem. Phys. 80, 536 (1984).
  21. M. Tokuyama and K. Kawasaki, Physica (Amsterdam) 123A, 386 (1984).
  22. M. Marder, Phys. Rev. Lett. 55, 2953 (1985); Phys. Rev. A 36, 858 (1987).
  23. T. M. Rogers and R. C. Desai, Phys. Rev. B 39, 11956 (1989).
  24. B. K. Chakraverty, J. Phys. Chem. Solids 28, 2401 (1967).
  25. D. B. Dadyburjor, S. P. Marsh and M. E. Glicksman, J. Catal. 99, 358 (1986).
  26. H. Hayakawa and F. Family, Physica (Amsterdam) 163A, 491 (1990).
  27. A. J. Ardell, Acta. Metall. 20, 61 (1972); Phys. Rev. B 41, 2554 (1990).
  28. J. A. Marqusee, J. Chem. Phys. 81, 976 (1984).
  29. Q. Zheng and J. D. Gunton, Phys. Rev. A 39, 4848 (1989).
  30. A. Chakrabarti, R. Toral and J. D. Gunton, Phys. Rev. E 47, 3025 (1993).
  31. P. Bassereau, D. Brodbreck, T. P. Russel, H. R. Brown and K. R. Shull, Phys. Rev. Lett. 71, 1716 (1993).
  32. M. Seul, N. Y. Morgan, and C. Sire (to be published).
  33. H. Tanaka, T. Yokokawa, H. Abe, T. Hayashi and T. Nishi, Phys. Rev. Lett. 65, 3136 (1990).
  34. O. Krichevsky and J. Stavans, Phys. Rev. Lett. 70, 1473 (1993).
  35. K. Kawasaki and T. Ohta, Physica (Amsterdam) 118A, 175 (1983).
  36. J. Stavans, Rep. Prog. Phys. 56, 733 (1993).
  37. J. Von Neumann, Metal Interfaces (American Society for Metals, Cleveland, 1952), p. 108.
  38. V. E.Fradkov, M. E. Glicksman, M. Palmer, J. Nordberg and K. Rajan, Physica (Amsterdam) 66D, 50 (1993).
  39. B. Levitan and E. Domany (to be published).
  40. T. Imaeda and K. Kawasaki, Physica (Amsterdam) 164A, 335 (1990).

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