Abstract
On the basis of van der Waals theory for interfaces we evaluate explicitly the small-wavevector behavior of the pair correlation function along an interface. A correction to the density profile is also found. The results obtained are in full accord with capillary wave theory when wave amplitudes are regarded as small.
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References
F. P. Buff, R. A. Lovett, and F. H. Stillinger,Phys. Rev. Lett. 15:621 (1965).
J. D. Weeks,J. Chem. Phys. 67:3106 (1977).
D. Bedeaux, J. P. Weeks, and B. J. A. Zielinska,Physica 130A:88 (1985).
J. D. van der Waals,Z. Phys. Chem. 13:657 (1894) [English translation by J. S. Rowlinson,J. Stat. Phys. 20:197 (1979)]; J. W. Cahn and J. E. Hilliard,J. Chem. Phys. 28:258 (1958).
J. Zittartz,Phys. Rev. 154:529 (1967); R. Evans,Mol. Phys. 42:1169 (1981).
D. Jasnow and J. Rudnick,Phys. Rev. Lett. 41:698 (1978); J. Rudnick and D. Jasnow,Phys. Rev. B 17:1351 (1978); D. Jasnow, T. Ohta, and J. Rudnick,Phys. Rev. B 20:2774 (1979).
M. S. Wertheim,J. Chem. Phys. 65:2377 (1976).
M. H. Kalos, J. K. Percus, and M. Rao,J. Stat. Phys. 17:111 (1977).
D. E. Sullivan,Phys. Rev. A 25:1669 (1982).
P. C. Hemmer,J. Math. Phys. 5:75 (1964); J. L. Lebowitz, G. Stell, and S. Baer,J. Math. Phys. 6:1282 (1965).
J. S. Høye, Thesis, NTH, Trondheim, Norway (1973).
J. S. Høye and G. Stell,J. Chem. Phys. 61:562 (1974).
G. Stell, R. Patey, and J. S. Høye,Adv. Chem. Phys. 48:183 (1981).
J. S. Høye,Acta Chim. Hung. 121:55 (1986).
H. C. Andersen and D. Chandler,J. Chem. Phys. 55:1497 (1971);57:1918 (1972); H. C. Andersen, D. Chandler, and J. D. Weeks,J. Chem. Phys. 57:2626 (1972).
J. Stecki and J. Dudowicz,Proc. R. Soc. A 400:263 (1985); inFluid Interfacial Phenomena, C. A. Croxton, ed. (Wiley, Chichester, 1986), Chapter 14; J. Stecki, A. Ciach, and J. Dudowicz,Phys. Rev. Lett. 56:1482 (1986).
D. G. Triezenberg and R. Zwanzig,Phys. Rev. Lett. 28:1183 (1972); R. A. Lovett, P. W. DeHaven, J. J. Vieceli, and F. P. Buff,J. Chem. Phys. 58:1880 (1973).
D. E. Sullivan,J. Chem. Phys. 74:2604 (1981).
D. E. Sullivan,Phys. Rev. B 20:3991 (1979).
J. S. Høye and G. Stell,J. Chem. Phys. 72:1597 (1980).
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Høye, J.S. Statistical mechanics of interfaces. J Stat Phys 49, 297–317 (1987). https://doi.org/10.1007/BF01009965
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DOI: https://doi.org/10.1007/BF01009965