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Domain-Spatial Correlation Function of Spherulitic Domain Evolution in Polymer Films

Published online by Cambridge University Press:  10 February 2011

Tao Huang
Affiliation:
Department of Chemical Engineering, McGill University, 3610 University Street, Montreal, Quebec, Canada, H3A [email protected]
Tomohiro Tsuji
Affiliation:
Department of Chemical Engineering, McGill University, 3610 University Street, Montreal, Quebec, Canada, H3A [email protected]
M. R. Kamal
Affiliation:
Department of Chemical Engineering, McGill University, 3610 University Street, Montreal, Quebec, Canada, H3A [email protected]
A. D. Rey
Affiliation:
Department of Chemical Engineering, McGill University, 3610 University Street, Montreal, Quebec, Canada, H3A [email protected]
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Abstract

We present a new theoretical model of nucleation and growth in term of a novel domainspatial correlation function. This model probes the patterns and spatio-temporal evolution of nucleation and growth process and agrees very well with experimental data. The dynamic domain-spatial correlation function directly and simultaneously explores the transformed volume fraction, the time-dependent domain size distribution function, and the spatial correlation function of domain core centers for the entire process, including the post-nucleation, domain growth and grain formation stages.

Type
Research Article
Copyright
Copyright © Materials Research Society 1998

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References

REFERENCES

1. Gunton, J.D., Miguel, M.S. and Sahni, P., in Phase Transitions and Critical Phenomena, edited by Domb, C. and Lebowitz, J.L., (Academic Press, London, 1983), Vol: 8, p. 267;Google Scholar
2. Kolmogorov, A.N., Izv. Akad. Nauk SSSR, Ser. Matem No. 3, 355–359 (1937); W. Johnson and R.F. Mehl, TAIME 135, 416 (1939); M. Avrami, J. Chem. Phys. 7, 1103 (1939), 212 (1940), 177 (1941); J.W. Cahn, Mat. Res. Soc. Symp. Proc. Vol.398, p.425, 1996 Materials Research Society.Google Scholar
3. Sekimoto, K., Phys. Lett. A 105 390 (1984); J. Phys. Soc. Jpn.53 2425 (1984); Physica A 137 96 (1986);Google Scholar
4. Axe, J.D. and Yamada, Y., Phys. Rev. B 34, 1599 (1986); S. Ohta, T. Ohta and K. Kawasaki, Physica A 140, 478 (1987).Google Scholar
5. Stoyan, D. and Kendall, W.S., Stochastic Geometry and Its Applications, (J. Weiley, NY, 1995).Google Scholar