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Critical Behavior of Interfaces: Roughening and Wetting Phenomena

Published online by Cambridge University Press:  21 February 2011

Reinhard Lipowsky ,
Stefan Grotehans  and
Götz J.O. Schmidt
Reinhard Lipowsky
Affiliation:
Institut für Festkörperforschung, Forschungszentrum Jülich Postfach 1913, D-5170 Jülich, Germany
Stefan Grotehans
Affiliation:
Institut für Festkörperforschung, Forschungszentrum Jülich Postfach 1913, D-5170 Jülich, Germany
Götz J.O. Schmidt
Affiliation:
Institut für Festkörperforschung, Forschungszentrum Jülich Postfach 1913, D-5170 Jülich, Germany
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Abstract

The critical behavior of interfaces is discussed from a theoretical point of view. Two classes of critical phenomena will be considered: (i) Roughening phenomena related to changes in the interfacial morphology; and (ii) Wetting phenomena related to changes in the interfacial structure. In two dimensions, the critical behavior can be determined exactly for a variety of models. As a result, one obtains different universality classes depending on the nature of the inter molecular forces.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 237: Symposium Ca – Interface Dynamics and Growth , 1991 , 11
Copyright
Copyright © Materials Research Society 1992

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References

/1/ For reviews, see Lipowsky, R., in Random fluctuations and patterns growth, ed. by Stanley, H.E. and Ostrowsky, N. (Kluwer Academic, Dordrecht 1988) p. 227;Google Scholar
Forgacs, G., Lipowsky, R., and Nieuwenhuizen, T.M., in Phase transitions and Critical Phenomena, Vol. 14, ed. by Domb, C. and Lebowitz, J. (Academic Press, London 1991).Google Scholar
/2/ Herring, C., in Structure and properties of solid surfaces, ed. by Gomer, R. and Smith, C.S. (Univ. of Chicago press, Chicago 1953).Google Scholar
/3/ A recent review is in van Beijeren, H. and Nolden, I., in Structure and Dynamics of Surfaces II, ed. by Schommers, W. and van Blanckenhagen, P. (Springer-Verlag, 1987).Google Scholar
/4/ Lipowsky, R. and Henley, C., Phys. Rev. Lett. 60, 2394 (1988);CrossRefGoogle Scholar
Lipowsky, R., in Fundamental problems in statistical mechanics VII, ed. by van Beijeren, H. (North-Holland, Amsterdam 1990) p. 139.Google Scholar
/5/ See, e.g., Rowlinson, J.S. and Widom, B., Molecular theory of capillary (Clarendon Press, Oxford 1982).Google Scholar
/6/ See, e.g., Pandit, R., Schick, M. and Wortis, M., Phys. Rev. B 26, 5112 (1982).CrossRefGoogle Scholar
/7/ See, e.g., de Gennes, P.G., Rev. Mod. Phys. 57, 827 (1985).CrossRefGoogle Scholar
/8/ Lipowsky, R., Phys. Rev. Lett. 52, 1429 (1984); and Phys. Rev. B32, 1731 (1985).CrossRefGoogle Scholar
/9/ Lipowsky, R. and Fisher, M.E., Phys. Rev. B 36, 2126 (1987).CrossRefGoogle Scholar
/10/ See, e.g., Surface x-ray and neutron scattering, ed. by Zabel, H. and Robinson, I.K. (Springer Verlag, 1992).CrossRefGoogle Scholar
/11/ Grotehans, S. and Lipowsky, R., Phys. Rev. A (in press).Google Scholar
/12/ Lipowsky, R., Europhys. Lett. 15, 703 (1991).CrossRefGoogle Scholar
/13/ Abraham, D.B., Phys. Rev. Lett. 44, 1165 (1980).CrossRefGoogle Scholar
/14/ Lipowsky, R. and Nieuwenhuizen, T.M., J. Phys. A 21, L89 (1988);CrossRefGoogle Scholar
Zia, R.K.P., Lipowsky, R., and Kroll, D.M., Am. J. Phys. 56, 160 (1988).CrossRefGoogle Scholar
/15/ Jülicher, F., Lipowsky, R., and Müller-Krumbhaar, H., Europhys. Lett. 11, 657 (1990).CrossRefGoogle Scholar
/16/ Spohn, H., Europhys. Lett. 14, 689 (1991).CrossRefGoogle Scholar
/17/ Fisher, M.E., J. Stat. Phys. 34, 667 (1984).CrossRefGoogle Scholar
/18/ Huse, D.A. and Fisher, M.E., Phys. Rev. B 29, 239 (1984).CrossRefGoogle Scholar
/19/ Fisher, M.E. and Gelfand, M., J. Stat. Phys. 53, 175 (1988).CrossRefGoogle Scholar
/20/ Lipowsky, R., Physica A 177, 182 (1991)CrossRefGoogle Scholar
/21/ Henley, C. and Lipowsky, R., Phys. Rev. Lett. 59, 1679 (1987).CrossRefGoogle Scholar
/22/ Garg, A. and Levine, D., Phys. Rev. Lett. 59 1683 (1987).CrossRefGoogle Scholar
/23/ Schmidt, G.J.O. and Lipowsky, R., Europhys. Lett, (submitted).Google Scholar
/24/ Lipowsky, R., Phys. Rev. Lett. 62, 704 (1989).CrossRefGoogle Scholar