Abstract
The effect of a high volume fraction on the dynamics of phase separations in offcritically quenched binary mixtures, such as binary alloys and polymer blends, is discussed from a new unifying point of view. Three characteristic stages are shown to exist after the nucleation stage. The first is the early stage [E] where the droplets grow directly and independently from the solution by diffusion. The second is the intermediate stage [I], where the growth is no longer independent due to the three kinds of interactions among droplets: the many-body interaction, the coagulation, and the Ostwald ripening. The third is the coarsening stage [C] where the growth from the solution is over. The dynamical behavior of phase separations is investigated analytically through the whole stages, including the dynamical scaling behavior. time exponents, and crossover. The numerical simulation is also performed to confirm the theoretical prediction.
Similar content being viewed by others
References
For reviews, seeDynamics of Ordering Processes in Condensed Alatter, S. Komura and H. Furukawa, eds. (Plenum, New of York, 1988).
C. M. Knobler and N. C. Wong,J. Phys. Chem. 85:1972 (1981).
K. Osamura, H. Okuda, Y. Amemiya, and H. Hashizume,Metall. Trans. 19A:1973 (1988).
M. Hennion, D. Ronzaud, and P. Guyot,Acta Metall. 30:599 (1982).
S. Katano and M. Iizumi,Phys. Rev. Lett. 52:835 (1984).
A. H. Krall, J. V. Sengers, and K. Hamano,Phys. Rev. E 48:357 (1993).
J. Marro, J. L. Lebowitz, and M. H. Kalos,Phys. Rev. Left. 43:282 (1979).
J. L. Lebowitz, J. Marro, and M. H. Kalos,Acta Metall. 30:297 (1983).
P. Fratzl, I. L. Lebowitz, J. Marro, and M. H. Kalos,Acta Metall. 31:1849 (1983).
K. Binder and D. Stauffer,Phys. Rev. Lett. 33:1006 (1974).
K. Binder,Phys. Rev. B 15:4425 (1977).
H. Furukawa.Phys. Rev. Lett. 43:136 (1979).
J. S. Langer and A. J. Schwartz,Phys. Rev. A 21:948 (1980).
J. D. Gunton, M. San Miguel, and P. S. Sahni, inPhase Transitions and Critical Phenomena, Vol. 8, C. Dome and J. L. Lebowitz, eds. (Academic, New York, 1983).
M. Tokuyama and Y. Enomoto,Phys. Rev. E 47:1156 (1993). This is referred to as I.
M. Tokuyama and Y. Enomoto,Phys. Rev. Lett. 69:312 (1992).
M. Tokuyama and Y. Enomoto,Physica A 204:673 (1994).
I. M. Lifshitz and V. V. Slyozov,J. Phys. Chem. Solids 19:35 (1961).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tokuyama, M., Enomoto, Y. Dynamics of crossover from diffusion growth to coarsening in quenched binary mixtures. Int J Thermophys 15, 1145–1155 (1994). https://doi.org/10.1007/BF01458823
Issue Date:
DOI: https://doi.org/10.1007/BF01458823