Advertisement

Journal of Materials Science

, Volume 29, Issue 18, pp 4852–4855 | Cite as

Influence of stochastic effects on Ostwald ripening

  • F. -P. Ludwig
  • J. Schmelzer
  • J. Bartels
Papers

Abstract

According to the Lifshitz-Slezov theory of Ostwald ripening and its generalizations in the asymptotic stage of the competitive growth of an ensemble of clusters, a time-independent cluster size distribution in reduced coordinates is established. The shape of this distribution deviates, however, from the experimentally observed curves, which are in general broader and more symmetric. A number of different proposals have been developed in the literature for an explanation of this discrepancy. Here it is shown that the influence of stochastic effects on coarsening due to thermal noise, which has not been considered so far, may significantly diminish the gap between experiment and theory.

Keywords

Polymer Cluster Size Thermal Noise Stochastic Effect Cluster Size Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    W. Ostwald, “Analy. Chemie”, Leipzig (1901).Google Scholar
  2. 2.
    R. E. Liesegang, Z. Phys. Chemie, 75 (1911) 374.Google Scholar
  3. 3.
    O. M. Todes, Sov. J. Phys. Chem. 20 (1946) 630.Google Scholar
  4. 4.
    O. M. Todes, and W. W. Chrustschew, ibid. 21 (1947) 301.Google Scholar
  5. 5.
    P. W. Voorhees, J. Stat. Phys. 38 (1985) 231.CrossRefGoogle Scholar
  6. 6.
    I. M. Lifshitz and V. V. Slezov, J. Exper. Theor. Phys. 35 (1958) 479 (in Russian).Google Scholar
  7. 7.
    Idem, Fiz. Tverdogo Tela 1 (1959) 1401 (in Russian).Google Scholar
  8. 8.
    Idem, J. Phys. Chem. Solids 19 (1961) 35.CrossRefGoogle Scholar
  9. 9.
    C. Wagner, Z. Elektrochemie 65 (1961) 581.Google Scholar
  10. 10.
    V. V. Slezov, and V. V. Sagalovich, Uspekhi Fiz. Nauk 151 (1987) 67.CrossRefGoogle Scholar
  11. 11.
    J. Schmelzer, and H. Ulbricht, J. Coll. Interf. Sci. 117 (1987) 325.CrossRefGoogle Scholar
  12. 12.
    J. Schmelzer and I. Gutzow, Z. Phys. Chemie (Leipzig) 269 (1988) 4.Google Scholar
  13. 13.
    J. Schmelzer, R. Pascova and I. Gutzow, J. Cryst. Growth 104 (1990) 505.CrossRefGoogle Scholar
  14. 14.
    K. Kawasaki and Y. Enomoto, Physica A150 (1988) 463.CrossRefGoogle Scholar
  15. 15.
    J. A. Marqusee and J. Ross, J. Chem. Phys. 79 (1983) 373.CrossRefGoogle Scholar
  16. 16.
    M. Tokuyama and K. Kawasaki, Physica 123A (1984) 386.CrossRefGoogle Scholar
  17. 17.
    O. Simmich and H. Grätz, Wiss Z. Pädagogischen Hochschule Halle/Käthen 26 (3) (1988) 5.Google Scholar
  18. 18.
    C. S. Jayanth and P. Nash, J. Mater. Sci. 24 (1989) 3041.CrossRefGoogle Scholar
  19. 19.
    M. Marder, Phys. Rev. A36 (1987) 858.CrossRefGoogle Scholar
  20. 20.
    G. Röpke, “Statistische Mechanik für das Nichtgleichgewicht” (VEB Deutscher Verlag der Wissenschaften, Berlin, 1987).Google Scholar
  21. 21.
    A. C. Zettlemoyer, (ed.) “Nucleation, New York, 1969; Nucleation Phenomena”, Adv. Coll. Interf. Sci. 7 (1977).Google Scholar
  22. 22.
    J. Bartels, J. Schmelzer and F. Schweitzer, in: “Irreversible Processes and Selforganization”, edited by W. Ebeling and H. Ulbricht, Teubner-Texte zur Physik Bd. 23 (Teubner, Leipzig, 1989) p. 47.Google Scholar
  23. 23.
    J. Bartels and J. Schmelzer, Phys. Status Solidi (a) 132 (1992) 361.CrossRefGoogle Scholar
  24. 24.
    J. Bartels, F. Schweitzer and J. Schmelzer, J. Non-Cryst. Solids 125 (1990) 129.CrossRefGoogle Scholar
  25. 25.
    J. Bartels, U. Lembke, R. Pascova, J. Schmelzer and I. Gutzow, ibid. 136 (1991) 181.CrossRefGoogle Scholar
  26. 26.
    J. S. Kirkaldy and D. J. Young, “Diffusion in the Condensed State” (Institute of Metals and The Universities Press, Belfast, 1987).Google Scholar
  27. 27.
    H. A. Kramers, Physica 85A (1940) 284.CrossRefGoogle Scholar
  28. 28.
    J. E. Moyal, J. Roy. Statist. Soc. 11 (1949) 151.Google Scholar

Copyright information

© Chapman & Hall 1994

Authors and Affiliations

  • F. -P. Ludwig
    • 1
  • J. Schmelzer
    • 1
  • J. Bartels
    • 2
  1. 1.Fachbereich Physik der Universität Rostock, UniversitätsplatzRostockGermany
  2. 2.Institut für AthmosphärenphysikKühlungsbornGermany

Personalised recommendations