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Efficient Reconstruction of Multi-Phase Morphologies from Correlation Functions

Published online by Cambridge University Press:  21 March 2011

Michael G. Rozman
Affiliation:
Institute of Materials Science and Department of Physics, University of Connecticut
Marcel Utz
Affiliation:
Institute of Materials Science and Department of Physics, University of Connecticut
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Abstract

A highly efficient algorithm for the reconstruction of microstructures of heterogeneous media from spatial correlation functions is presented. Similar to previously proposed algorithms, the new method relies on Monte Carlo optimization, representing the microstructure on a discrete grid. An efficient way to update the correlation functions after local changes to the structure is introduced. In addition, the rate of convergence is substantially enhanced by selective Monte Carlo moves at interfaces. Speedups over prior methods of more than two orders of magnitude are thus achieved. The algorithm is ideally suited for parallel computers. The increase in efficiency brings new classes of problems within the realm of the tractable, notably those involving several different structural length scales and/or components.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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References

REFERENCES

1. Adler, P. M., Porous Media: Geometry and Transport, Butterworth-Heinemann, Boston, 1992.Google Scholar
2. Levitz, P., Adv. Colloid Interface Sci. 76–77, 71 (1998).Google Scholar
3. Yeong, C. L. Y. and Torquato, S., Phys. Rev. E 57, 495 (1998).Google Scholar
4. Cule, D. and Torquato, S., J. Appl. Phys. 86, 3428 (1999).Google Scholar
5. Rozman, M. G. and Utz, M., Phys. Rev. E 63, (2001), accepted.Google Scholar
6. Frigo, M. and Johnson, S. G., FFTW: An adaptive software architecture for the FFT, in Proceedings of the 1998 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP98, (IEEE, NY, 1998) vol. 3, pp. 13811384. (The FFT library and documen- tation are available from http://www.fftw.org).Google Scholar
7. Hamley, I. W., The Physics of Block Copolymers, Oxford University Press, Oxford, 1998.Google Scholar
8. Bates, F. S. and Fredrickson, G. H., Phys. Today 52, 32 (1999).Google Scholar
9. Sheiko, S. S., Adv. Polymer Sci. 151, 62 (2000).Google Scholar
10. Breiner, U., Krappe, U., Thomas, E. L., and Stadler, R., Macromolecules 31, 135 (1998).Google Scholar
11. http://giotto.ims.uconn.edu/.Google Scholar