Abstract
The geometrical characteristics of a meniscus between two phases are studied. In particular, the behavior of the contact angles as a function of the temperature is derived for SOS-type models. A microscopic derivation of the Herring relations is given within a continuuous Gaussian model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. Herring,Structure Properties of Solid Surfaces, R. Gomer and C. S. Smith, eds. (University of Chicago Press, 1951).
W. Selke, Interfacial adsorption in multi-state models, inStatic Critical Phenomena in Inhomogeneous Systems, A. Pekalsky and J. Sznajd, eds. (Lecture Notes in Physics No. 206, Springer, Berlin, 1984).
B. Derrida and M. Schick, Interfacial wetting in theq-state Potts model,J. Phys. A: Math, Gen. 19:1439 (1986).
J. Bricmont and J. L. Lebowitz, Wetting in Potts and Blume-Capel models,J. Stat. Phys. 46:1015 (1987).
J. De Coninck, A. Messager, S. Miracle-Sole, and J. Ruiz, A study of perfect wetting for Potts and Blume-Capel models with correlation inequalities,J. Stat. Phys. 52:45 (1988).
J. De Coninck and F. Dunlop, Partial to complete wetting: A microscopic derivation of the Young relation,J. Stat. Phys. 47:827 (1987).
T. H. Berlin and M. Kac, The spherical model of a ferromagnet,Phys. Rev. 85:821 (1952).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
De Coninck, J., de Gottal, P. & Menu, F. A meniscus where three phases coexist at equilibrium: Microscopic derivation of the Herring relations. J Stat Phys 56, 23–32 (1989). https://doi.org/10.1007/BF01044228
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01044228