Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-29T09:43:17.009Z Has data issue: false hasContentIssue false

A Simple Statistical Theory for Grain Growth in Materials.

Published online by Cambridge University Press:  26 February 2011

P. Mulheran
Affiliation:
A.E.A. Industrial Technology, Harwell Laboratory, Didcot, Oxon, U.K. OXll ORA.
J.H. Harding
Affiliation:
A.E.A. Industrial Technology, Harwell Laboratory, Didcot, Oxon, U.K. OXll ORA.
Get access

Extract

A Monte Carlo procedure has been used to study the ordering of both two and three dimensional (2d and 3d) Potts Hamiltonians, further to the work of Anderson et al. For the 3d lattice, the short time growth rate is found to be much slower than previously reported, though the simulated microstructure is in agreement with the earlier studies. We propose a new stochastic model that gives good agreement with the simulations.

Type
Research Article
Copyright
Copyright © Materials Research Society 1991

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.)

References

1. Anderson, M.P., Srolovitz, D.J., Crest, C.S., Sahni, S., Acta Metall. 32, 783 and 793 (1984).CrossRefGoogle Scholar
2. Anderson, M.P., Crest, G.S., Srolovitz, D.J., Scripta Metall. 19, 225 (1985).Google Scholar
3. Atkinson, H.V., Acta Metall. 36, 469 (1988).Google Scholar
4. Burke, J.E., Trans. Amer. Inst. Min. (Metall.) Engrs. 180, 73 (1949).Google Scholar
5. Louat, N.P., Acta Metall. 22, 721 (1974).Google Scholar
6. Grest, G.S., Anderson, M.P., Srolovitz, D.J., Phys. Rev. B 38, 4752 (1988).Google Scholar
7. Mulheran, P. and Harding, J.H., Submitted to Acta Metall., July 1990.Google Scholar
8. Pande, C.S., Acta Metall. 35, 2671 (1987).Google Scholar