Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-25T17:55:58.648Z Has data issue: false hasContentIssue false

The Stress Driven Islands Formation in Epitaxial Films and Solid HE4 Films.

Published online by Cambridge University Press:  25 February 2011

Michael A. Grinfeld*
Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, NJ 08903
Get access

Abstract

We discuss the static and quasi-static problems appearing in the theory of morphological instability of interfaces. The approach has allowed to predict the corrugations in He4 films and to explain the dislocation-free Stranski-Krastanow pattern of epitaxial growth of thin solid films with the critical film thickness H = σμ/τ2 (σ is a surface energy, μ- the shear modulus, and τ - the mismatch stress). In this paper we discuss possible morphological patterns of corrugations and their changes which appear in result of the stress driven “rearrangement” destabilization of originally flat interfaces.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

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

REFERENCES

1. Torii, R. and Balibar, C., Intl. Symp. “Quantum Fluids and Solids”, Penn. State, (1992) (to appear: J. Low Temp. Phys.).Google Scholar
2. Grinfeld, M.A., Dokl. AN SSSR 283, 1139 (1985) [Doklady, Earth Sci., 283, 27 (1985)]; Dokl. AN SSSR 290, 1358 (1986) [Sov. Phys. Dokl. 31, 831]; Mekh. Zhidk. Gaza 1987 (2), 3 [Fluid Dyn. 22, 169]; PMM, 51. 628 (1987) [PMM USSR, 51, 489 (1987)].Google Scholar
3. Gibbs, J.W., Trans. Connect. Acad. Sci. 3, 108 (1876); 3, 343 (1878).Google Scholar
4. Grinfeld, M.A., Thermodvnamic Methods in the Theory of Heterogeneous Systems, (Longman, Sussex, 1991).Google Scholar
5. Nozieres, P., in Solids Far From Equilibrium, edited by Godreche, C. (Cambridge University Press, Cambridge, 1991);Google Scholar
Balibar, S., Edwards, D.O. and Saam, W.F., J. Low Temp. Phys. 82, 119, (1991).CrossRefGoogle Scholar
6. Grinfeld, M.A., The Stress Driven Instabilities in Crystals: Mathematical Models and Physical Manifestations. IMA Preprint Series #819, June (1991). (to appear in: J. Nonlinear Science).Google Scholar
7. Eaglesham, D.J. and Cerullo, M., Phys. Rev. Lett., 64, 1943 (1990);Google Scholar
LeGoues, F.K., Copel, M., Tromp, R.M., Phys. Rev. B, 42, 11690 (1990).Google Scholar
8. Srolovitz, D.J., Acta Metall., 37, 621 (1989),CrossRefGoogle Scholar
Tersoff, J., Phys. Rev. B, 43, 9377 (1991);Google Scholar
Vanderbilt, D. and Wickham, L.K. (Mat. Res. Soc. Symp. Proc. 202, Pittsburgh, PA 1991) pp. 555560;Google Scholar
Spencer, B.J., Voorhees, P.W. and Davis, S.H., Phys. Rev. Lettr., 67, 3696 (1991);Google Scholar
Grinfeld, M.A., (Mat. Res. Soc. Symp. Proc. 237, 239, Pittsburgh, PA 1992),Google Scholar
Freund, L.B., Jonsdottir, F. (Mat. Res. Soc. Symp. Proc, Pittsburgh, PA 1993; to appear)Google Scholar
9. Grinfeld, M.A., Intell, J.. Mater. Syst. Struct. (1993; to appear), J. Phys. C: Condenced Matter (1992; to appear), Mech. Res. Comm. (1992; to appear).Google Scholar
10. Grinfeld, M.A., Equilibrium Shape and Instabilities of Deformable Elastic Crystals. Lecture given in Heirot-Watt University, Edinburgh (1989).Google Scholar