Hostname: page-component-7bb8b95d7b-lvwk9 Total loading time: 0 Render date: 2024-09-18T11:03:59.406Z Has data issue: false hasContentIssue false
  • English
  • Français

Interdiffusion in Short-Wavelength Modulated Materials Studied by Monte-Carlo Simulations

Published online by Cambridge University Press:  25 February 2011

M. Atzmon
M. Atzmon*
Affiliation:
Division of Applied Sciences, Harvard University, Cambridge, MA 02138.
Get access

Abstract

Interdiffusion in a two-dimensional compositionally modulated lattice has been studied by Monte-Carlo simulations. In the initial stages, the interdiffusion coefficient has been observed to change with time due to the development of short-range order simultaneously with the interdiffusion process. When the short-range order parameter approached its limiting value, the diffusion coefficient approached a constant value. The dependence of the interdiffusion coefficient on the modulation wavelength does not agree with the prediction of one-dimensional theories. For ordering alloy systems, the effective interdiffusion coefficient is positive, i.e., an initially present modulation decays in time, for all wavelengths.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 103 , 1987 , 277
Copyright
Copyright © Materials Research Society 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

Department of Nuclear Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2104.

References

REFERENCES

1.Hillert, M., Sc. D. Thesis, Massachusetts Institute of Technology, 1956.Google Scholar
2.Cahn, J. W. and Hilliard, J. E., J. Chem. Phys. 28, 258 (1981).Google Scholar
3.Greer, A. L. and Spaepen, F., in Synthetic Modulated Structures, eds. Chang, L. L. and Giessen, B. C. (Academic Press, 1985), p. 419.Google Scholar
4.Darken, L. S., Am. Inst. Mining Met. Engrs. Inst. Met. Div. Metals Technol. 15, Techn. Publ. 2311 (1948), 2443 (1948).Google Scholar
5.Cook, H. E., Fontaine, D. de, and Hilliard, J. E., Acta Met. 17, 765 (1969)Google Scholar
6.Fontaine, D. de, in Solid-State Physics, eds. Ehrenreich, H., Seitz, F. and Turnbull, D., Vol. 34 (Academic Press, 1979), pp. 74–172.Google Scholar
7.Khachaturian, A. G., Theory of Structural Transformations in Solids (Wiley, New York, 1983).Google Scholar
8.Tsakalakos, T., Thin Solid Films 86, 79 (1981).Google Scholar
9.Press, W. T., Vetterling, W. T., Teukolsky, S. and Flannery, B. P., Numerical Recipes, (Cambridge University Press).Google Scholar
10.Cook, H. E., Acta Met. 18, 297 (1970).Google Scholar
11.Atzmon, M. and Spaepen, F., Mat. Res. Soc. Symp. Proc., Vol.80 (MRS, Pittsburgh 1987).Google Scholar
12.Paulson, W. M. and Hilliard, J. E., J. Appl. Phys. 48, 2117 (1977).Google Scholar