Abstract
Developments in the theory of Ostwald ripening since the classic work of I. M. Lifshitz and V. V. Slyozov (LS) are reviewed and directions for future work are suggested. Recent theoretical work on the role of a finite volume fraction of coarsening phase on the ripening behavior of two-phase systems is reformulated in terms of a consistent set of notation through which each of the theories can be compared and contrasted. Although more theoretical work is necessary, these theories are in general agreement on the effects of a finite volume fraction of coarsening phase on the coarsening behavior of two-phase systems. New work on transient Ostwald ripening is presented which illustrates the broad range of behavior which is possible in this regime. The conditions responsible for the presence of the asymptotic state first discovered by LS, as well as the manner in which this state is approached, are also discussed. The role of elastic fields during Ostwald ripening in solid-solid mixtures is reviewed, and it is shown that these fields can play a dominant role in determining the coarsening behavior of a solid-solid system.
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References
W. W. Mullins, inMetal Surfaces, Vol. 17, (American Society for Metals, 1962).
W. Ostwald,Z. Phys. Chem. 37:385 (1901).
W. Ostwald,Analytisch Chemie, 3rd ed. (Engelmann, Leipzig, 1901), p. 23.
G. W. Greenwood,Acta. Met. 4:243 (1956).
R. Asimov,Acta. Met. 11:72 (1962).
I. M. Lifshitz and V. V. Slyozov,J. Phys. Chem. Solids 19:35 (1961).
C. Wagner,Z. Elektrochemie 65:581 (1961).
P. W. Voorhees and M. E. Glicksman,Acta. Met., in press.
Howard B. Aaron, Dora Fainstein, and Gerald R. Kotler,J. Appl. Phys. 41:4404 (1970).
E. M. Lifshitz and L. P. Pitaevskii,Physical Kinetics (Pergamon Press, London, 1981), p. 432.
R. D. Vengrenovitch,Acta. Met. 30:1079 (1982).
K. Binder,Phys. Rev. B 15:4925 (1977).
J. A. Marqusee and John Ross,J. Chem. Phys. 79:373 (1983).
Chan Hyoung Kang and Duk N. Yoon,Met. Trans. A 12A:65 (1981).
Y. Masuda and R. Watanabe, inSintering Processes, Materials Science Research, Vol. 13, G. C. Kuczynski, ed. (Plenum, New York, 1979), p. 3.
C. K. L. Davies, P. Nash, and R. N. Stevens,J. Mat. Sci. 15:1521 (1980).
A. J. Ardell,Acta. Met. 20:61 (1972).
P. W. Voorhees and R. J. Schaefer, unpublished.
C. K. L. Davies, P. Nash, and R. N. Stevens,Acta. Met. 28:179 (1980).
K. Tsumuraya and Y. Miyata,Acta. Met. 31:437 (1983).
A. D. Brailsford and P. Wynblatt,Acta. Met. 27:489 (1979).
P. W. Voorhees and M. E. Glicksman,Acta. Met., in press.
M. E. Glicksman and P. W. Voorhees, unpublished.
J. A. Marqusee and John Ross,J. Chem. Phys. 80:536 (1984).
M. Tokuyama and K. Kawasaki,Physica 123A:386 (1984).
B. V. Felderhoff and J. M. Deutch,J. Chem. Phys. 64:4551 (1976).
A. D. Brailsford,J. Nuc. Mat. 60:257 (1976).
J. J. Weins and J. W. Cahn, inSintering and Related Phenomena, G. C. Kuczynskie, ed. (Plenum, London, 1973), p. 151.
H. Mori,Prog. Theor. Phys. 53 (1975).
H. Mori and J. K. McNeil,Prog. Theor. Phys. 57:770 (1977).
M. Tokuyama and H. Mori,Prog. Theor. Phys. 56:1073 (1976),58:92 (1977).
M. Tokuyama, Y. Enomoto, and K. Kawaski, preprint.
M. Muthukumar and R. E. Cukier,J. Stat. Phys. 26:456 (1981).
M. Bixon and R. Zwanzig,J. Chem. Phys. 75:2359 (1981).
M. Tokuyama and R. I. Cukier,J. Chem. Phys. 76:6202 (1982).
Daniel F. Calet and J. M. Deutch,Ann. Rev. Phys. Chem. 34:394 (1983).
P. P. Ewald,Ann. Phys. (Leipzig) 64:253 (1921).
D. J. Chellman and A. J. Ardell,Acta. Met. 22:577 (1974).
G. Venzl,Ber. Busenges. Phys. Chem. 87:318 (1983).
K. M. Vedula and R. W. Heckel,Met. Trans. 1:9 (1970).
Ryuzo Watanbe, Karou Tada, and Yoshimichi Masuda,Z. Metallkunde 67:619 (1970).
H. Wendt and P. Hansen,Acta. Met. 31:1649 (1983).
J. W. Cahn,Acta. Met. 9:795 (1961).
A. J. Ardell and R. B. Nicholson,Acta. Met. 14:1295 (1966).
W. C. Johnson and P. W. Voorhees,Met. Trans., in press.
A. G. Khachaturyan and G. A. Shatalov,Phys. Status Solidi (A) 26:61 (1974).
V. Perovic, G. R. Purdy, and L. M. Brown,Acta. Met. 27:1075 (1979).
W. C. Johnson,Acta. Met. 32:465 (1984).
F. C. Larche and J. W. Cahn,Acta. Met. 21:1050 (1973).
F. C. Larche and J. W. Cahn,Acta. Met. 30:1835 (1982).
Rene Samson and J. M. Deutch,J. Chem. Phys. 67:847 (1977).
Martin Goldstein,J. Cryst. Growth 3:599 (1968).
M. E. Glicksman, private communication.
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Voorhees, P.W. The theory of Ostwald ripening. J Stat Phys 38, 231–252 (1985). https://doi.org/10.1007/BF01017860
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DOI: https://doi.org/10.1007/BF01017860