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Multilayer Solid Adsorption and The Roughening Transition

Published online by Cambridge University Press:  21 February 2011

John D. Weeks
John D. Weeks*
Affiliation:
Bell Laboratories, 600 Mountain Avenue, Murray Hill, NJ 07974, USA
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Abstract

We discuss some the physical issues involved with the adsorption of several layers of a solid adsorbate on a strongly attractive substrate. The experimental observation at low temperature of vertical risers (the “layering transitions”) in the plot of coverage versus pressure can be understood using a one-layer 2D lattice-gas model. The behavior at higher temperature is described in terms of a coarse-grained interface hamiltonian which emphasizes the role of long-wavelength interface fluctuations. A simple variational theory predicts that the coverage in the nth layer is a continuous function of pressure above a critical temperature Tc,n which depends weakly on n and has as its large n limit the bulk roughening temperature TR.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 21: Symposium GREECE – Phase Transformations in Solids , 1983 , 597
Copyright
Copyright © Materials Research Society 1984

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References

REFERENCES

1. For a guide to the literature, see Pandit, R., Schick, M., and Wortis, M., Phys. Rev. B26, 5112 (1982).Google Scholar
2. deOlivera, M. I. and Griffiths, R. B., Surf. Sci. 71, 687 (1978).Google Scholar
3. A short account of this work has been published. See Weeks, J. D., Phys. Rev. B 26, 3998 (1982).Google Scholar
4. Thomy, A. and Duval, X., J. Chim. Phys. 66, 1966 (1969).Google Scholar
5. Thomy, A., Duval, X. and Regnier, J., Surf. Sci. Reports 1, 1 (1981).Google Scholar
6. For a recent review see Weeks, J. D. in Ordering in Strongly Fluctuating Condensed Matter Systems, edited by Riste, T. (Plenum, New York, 1980), p. 293.Google Scholar
7. Burton, W. K. and Cabrera, N., Disc. Faraday Soc., 5, 33 (1949).Google Scholar
8. Chui, S. T. and Weeks, J. D., Phys. Rev. B 14, 4978 (1976).Google Scholar
9. Avron, J. E., Balfour, L. S., Kuper, C. G., Landau, J., Lipson, S. G. and Schulman, L. S., Phys. Rev. Lett. 45, 814 (1980).Google Scholar
10. Weeks, J. D., J. Chem. Phys. 67, 3106 (1977).Google Scholar
11. See, e.g., Ma, S. K., Modern Theory of Critical Phenomena (Benjamin, Reading, Mass., 1976).Google Scholar
12. See, e.g., Feyman, R. P., Statistical Mechanics (Benjamin, Boston, 1972), p. 67.Google Scholar
13. Saito, Y., Z. Phys. B 32, 75 (1978).Google Scholar
14. Weeks, J. D., Gilmer, G. H., and Fisher, M. P. A. (unpublished).Google Scholar
15. Fisher, M. P. A. (unpublished)Google Scholar
16. The results of an approximate Migdal RG study of the layering transitions also predicts the 2D Ising transitions. See Saam, W. F., Surf. Sci. 125, 253 (1983).Google Scholar
17. Ramesh, S. and Maynard, J. D., Phys. Rev. Lett. 49 47 (1982).Google Scholar
18. Ebner, C., Phys. Rev. A 22, 2776 (1980);Google Scholar
23, 1925 (1981).Google Scholar
19. Kim, I. M. and Landau, D. P., Surf. Sci. 110, 415 (1981).Google Scholar