Abstract
The investigation of interface-properties has become a very active field of research. On all scales from atomistic lengths to macroscopic dimensions one observes numerous collective phenomena, most of them being only partly understood. The best microscopic knowledge is based on lattice models of crystal surfaces /1,2/ including surface diffusion /2/ and the mechanism of surface roughening /3/. The solid-liquid interface important in the melting-freezing problem is substantially less understood /4/. A phenomenon related to both melting and roughening is the depinning or wetting transition /5/, where a fluctuating interface interacts with a rigid surface. Within an adsorbed layer on a surface complicated superstructures (incommensurability) appear. Closely related is the effect of surface reconstruction /6/. For the macroscopic growth of crystals a number of macro-structures like surface-spirals play a dominant role /7/. As soon as long-range transport of material and heat by diffusion comes into play one enters the field of “pattern formation” via dynamic destabilization of plane interfaces /8/. In two-component systems like steel, lamellar structures in the bulk of the material may be formed by eutectic crystallization /9/.
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List of references
General reviews: “Modern theory of crystal growth I” (Springer Series: Crystals; Growth, Properties and Applications” Heidelberg 1983); A.A. Chernov, H. Müller-Krumbhaar ed.
H. Müller-Krumbhaar in “Cohesive Properties of Semiconductors under Laser Irradiation”, L.D. Laude ed., NATO-ASI-Series E, 69 (M. Nijhoff Publ., The Hague, 1983)
Lattice models: H. Müller-Krumbhaar, Phys. Rev. B10, 1308 (1974)
Y. Saito, H. M-K., J. Chem. Phys. 74, 721 (1981).
Y. Saito, H. M-K., J. Chem. Phys. 70,1078 (1979).
Roughening transition: J.D. Weeks in “Ordering in Strongly Fluctuating Condensed Matter Systems”; T. Riste ed. Vol. B50, (Plenum Press, N.Y. 1979);
Y. Saito, H. M-K., Phys. Rev. B23, 308 (1981)
Melting and Solid-Liquid Interface: D. Oxtoby, A.D.J. Haymet, J. Chem. Phys. 76, 6262 (1982)
A. Ladd, L. Woodcock, Mol. Phys. 36, 611 (1978);Review by A. Bonissent in ref. /1/; and by
F.F. Abraham, Rep. Progr. Phys. 45, 1113 (1982).
T.F. Meister, J. Chem. Phys. 79, 426 (1982)
Y. Saito (2-dim), Phys. Rev. B26, 6239 (1982)
Layered Interfaces (Pinning, Wetting, etc.): M. Wortis, R. Pandit, M. Schick in “Melting, Localization and Chaos”, R. Kalia and P. Vashishta eds. (North Holland, N.Y. and Amsterdam, 1982)
H. Nakanishi, M.E. Fisher, Phys. Rev. Lett. 49 1565, (1982)
R. Lipowski, Phys. Rev. Letters 49, 1575 (1982)
D. Kroll, R. Lipowski, R.K.P. Zia, Phys. Rev. B27, 4499 (1983) T. Meister, H. Müller-Krumbhaar, preprint
Surface reconstruction: E. Tosatti, Solid State Comm. 25, 637 (1978)
P. Bak, Solid State Comm. 32, 581 (1979)
E. Allroth, H. M-K., Phys. Rev. A27, 1575 (1983)
Macroscopic Structure: For a review on computer simulations in crystal growth see: H. M-K., Chapter 7 in “Monte Carlo Methods in Statistical Physics”, K. Binder, ed. (Springer Verlag, Heidelberg, 1979).
Local equation of motion (variational): H. M-K., T.W. Burkhardt, D. Kroll, J. Crystal Growth 38, 13 (1977)
Pattern Formation (Influence of Transport): Review: J.S. Langer, Rev. Mod. Phys. 52, 1 (1980)
Dendritic crystallization: J.S. Langer, H. M-K. Acta Metall. 26, 1681, (1978)
1689,
1697
Acta Metall. 29, 145 (1981)
Eutectics: J.S. Langer, Phys. Rev. Lett. 44, 1023 (1980)
Mode Selection: J.S. Langer, H. M-K., Phys. Rev. A27, 499 (1983)
G. Dee, J.S. Langer, Phys. Rev. Lett. 50, 383 (1983)
D. Aronson, H. Weinberger, Adv. Math, 30, 33 (1978)
M. Kerszberg, Phys. Rev. B27, 3909 (1983)
L. Kramer, E. Ben-Jacob, H. Brand. M.C. Cross, Phys. Rev. Lett. 49, 1891 (1982)
H. M-K., Proceedings of “NATO-Workshop on Chemical Instabilities”, Austin, Texas 1983, G. Nicolis, ed., (D. Reidel Publ. Co, Dordrecht, Holland, 1983) Preprint
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Müller-Krumbhaar, H. (1983). Structure of Interfaces. In: Benedek, G., Bilz, H., Zeyher, R. (eds) Statics and Dynamics of Nonlinear Systems. Springer Series in Solid-State Sciences, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82135-6_25
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DOI: https://doi.org/10.1007/978-3-642-82135-6_25
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