Abstract
Equations are derived which generalize the Laplace-Kelvin laws of force and chemical potential balance for a curved interface between a solid and its melt. The main difference from previous treatments are strain corrections in the equation of melting equilibrium, for which a simple physical picture is developed. These corrections are usually small, but they are essential in order to achieve an internally consistent formulation. When applied to sound transmission at the solid-superfluid interface of4He, they guarantee energy conservation thereby answering a paradox raised by Maris.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Rowlinson, J.S., Widom, B.: Molecular theory of capillarity. Oxford: Clarendom Press 1982
Gibbs, J.W.: On the equilibrium of heterogeneous substances, reprinted in: Scientific papers, Vol. 1, p. 184 ff. New York: Dover 1961
Landau, L.D., Lifshitz, E.M.: Course of theoretical physics, Vol. 7: Theory of elasticity. London: Pergamon Press 1959
Griffiths, R.B.: In: Phase transitions in surface films. Dash, J.G., Ruvalds, J. (eds.). New York: Plenum Press 1980
Nozières, P., Wolf, D.E.: Z. Phys. B — Condensed Matter70, 399
Shuttleworth, R.: Proc. Phys. Soc. London, A63, 444 (1950)
Herring, C.: In: Structure and properties of solid surfaces. Gomer, R., Smith, C.S. (eds.). Chicago: University of chicago Press 1953
Mullins, W.W.: In: Metal surfaces: structure, energetics and kinetics. Metals Park, Ohio: American Society for Metals 1963
Vermaak, J.S., Mays, C.W., Kuhlmann-Wilsdorf, D.: Surf. Sci.12, 128 (1968)
Marchenko, V.I., Parshin, A.Y.: Zh. Eksp. Teor. Fiz.79, 257 (1980) [Sov. Phys. JETP52, 129 (1980)]
Fisher, D.S., Weeks, J.D.: Phys. Rev. Lett.50, 1077 (1983)
Marchenko, V.I., Parshin, A.Y.: Pis'ma Zh. Eksp. Teor. Fiz.31, 767 (1980) [JETP Lett.31, 724 (1980)]
Huber, T.E., Maris, H.J.: J. Low Temp. Phys.48, 99 (1982); Wolf, P.E., Edwards, D.O., Balibar, S.: J. Low Temp. Phys.51, 489 (1983)
Maris, H.J.: Private communication (1984)
Castaign, B., Nozières, P.: J. Phys. (Paris)41, 701 (1980)
Uwaha, M., Nozières, P.: Proceedings of Oji International Seminar on Morphology and Growth Unit of Crystals (1985)
Landau, L.D.: The equilibrium form of crystals, reprinted in: Collected papers. Ter Haar, D. (ed.). London: Pergamon Press 1965
Alexander, J.I.D., Johnson, W.C.: J. Appl. Phys.58, 816 (1985)
An attempt to include dissipation can be found in: Iordanskii, S.V., Korshunov, S.E., Larkin, I.A.: Zh. Eksp. Teor. Fiz.83, 2110 (1982) [Sov. Phys. JETP56, 1224 (1982)]
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wolf, D.E., Nozières, P. Interfacial properties of elastically strained materials. Z. Physik B - Condensed Matter 70, 507–513 (1988). https://doi.org/10.1007/BF01312126
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01312126