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Orientation and Velocity Dependence of the Nonequilibrium Partition Coefficient

Published online by Cambridge University Press:  21 February 2011

K.M. Beatty
Affiliation:
Department of Materials Science and Engineering, The University of Arizona, Tucson AZ 85721
K.A. Jackson
Affiliation:
Department of Materials Science and Engineering, The University of Arizona, Tucson AZ 85721
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Abstract

Monte Carlo simulations based on a Spin-1 Ising Model for binary alloys have been used to investigate the non-equilibrium partition coefficient (kneq ) as a function of solid-liquid interface velocity and orientation. In simulations of Si with a second component kneq is greater in the [111] direction than the [100] direction in agreement with experimental results reported by Aziz et al. The simulated partition coefficient scales with the square of the step velocity divided by the diffusion coefficient of the secondary component in the liquid.

Type
Research Article
Copyright
Copyright © Materials Research Society 1998

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References

REFERENCES

1 Duwez, P., Willens, R.H., and Klement, W. Jr. Applied Physics 31, 1136 (1960).Google Scholar
2 Beck, D., Copley, S.M., and Bass., M. Metall. Trans. A 13, 1879 (1982).Google Scholar
3 Aziz, M.J., Tsao, J.Y., Thompson, M.O., Peercy, P.S., and White., C.W. Phys. Rev.Lett. 56, 2489 (1986).Google Scholar
4 Aziz, M.J. and Kaplan., T. Acta Metall. 36, 2335 (1988).Google Scholar
5 Jackson, K.A., Gilmer, G.H., Temkin, D.E., Weinberg, J.D., and Beatty., K. Journal of Crystal Growth 128 (1–4), 127138 (1993).Google Scholar
6 Jackson, K.A., Gilmer, G.H., and Temkin., D.E. Phys. Rev. Lett. 75(13), 2530 (1995).Google Scholar
7 Jackson, K.A., Gilmer, G.H., Temkin, D.E., and Beatty., K.M. Journal of Crystal Growth to be published (1995).Google Scholar
8 M.J. Aziz and C.W. White. Phys. Rev. Lett. 57(21), 2675 (1986).Google Scholar
9 Gilmer., G.H. Mater. Sci. Eng. 65, 15 (1984).Google Scholar
10 Shewmon., P. Diffusion in Solids 2nd ed. Minerals Metals and Materials Society (1989).Google Scholar
11 Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery., B.P. Numerical Recipes in C 2nd ed. Cambridge University Press (1992).Google Scholar
12 Grabow, M.H., Gilmer, G.H., and Bakker., A.F. MRS Symposium Proceedings 141, 349 (1989).Google Scholar