Abstract
A model of a binary mixture, showing a wetting transition, is examined. No prewetting phenomena are found. The scaling functions are obtained for the film thickness and for the correlation lengths.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. R. Moldover and J. W. Cahn,Science 207:1073 (1980).
J. W. Cahn,J. Chem. Phys. 66:3667 (1977).
J. S. Rowlinson and B. Widom,Molecular Theory of Capillarity (Clarendon Press, Oxford, 1982).
B. Widom, private communication.
D. B. Abraham,Phys. Rev. Letts. 44:1165 (1980).
T. W. Burckhardt,J. Phys. A (Math. Gen.) 14:L63 (1981); J. T. Chalker, ibid.14:2431 (1981); S. T. Chui and J. D. Weeks,Phys. Rev. B23:2438 (1981); H. Hilhorst and J. M. J. van Leeuwen,Physica 107A:319 (1981); D. M. Kroll,Z. Phys. B41:345 (1981); M. Vallade and J. Lajzierowicz,J. Phys. (Paris) 42:1505 (1981).
D. B. Abraham and E. R. Smith,Phys. Rev. B26:1480 (1982).
M. E. Fisher,J. Stat. Phys. 34:667 (1984), Boltzmann Medallist address.
D. A. Huse and M. E. Fisher,Phys. Rev. B29:239 (1984).
C. N. Yang and T. D. Lee,Phys. Rev. 87:404, 410 (1952).
A. Martin-Löf,Commun. Math. Phys. 24:253 (1972).
D. B. Abraham, to be published.
L. Onsager, unpublished; H. N. V. Temperley,Proc. Camb. Phil. Soc. 48:683 (1952).
L. Onsager,Phys. Rev. 65:117 (1944); M. E. Fisher and A. Ferdinand,Phys. Rev. Letts. 19:169 (1967); D. B. Abraham, G. Gallavotti, and A. Martin-Löf,Physica 65:73 (1973).
D. B. Abraham and P. Reed,Phys. Rev. Lett. 33:377 (1974);Commun. Math. Phys. 49:35 (1976).
D. B. Abraham,Phys. Rev. B19:3833 (1979).
D. S. Fisher, M. P. A. Fisher, and J. D. Weeks,Phys. Rev. Letts. 48:368 (1982).
D. B. Abraham and P. Reed,J. Phys. A (Math. Gen.) 10:L121 (1979).
M. P. A. Fisher and J. D. Weeks, private communication.
J. M. Fröhlich and T. Spencer,Phys. Rev. Letts. 46:1006 (1981);Commun. Math. Phys. 81:527 (1981).
G. N. Watson,A Treatise on the Theory of Bessel Functions, 2nd. ed. (Cambridge University Press, Cambridge, 1966).
M. Abromowitz and I. A. Stegun (eds.),Handbook of Mathematical Functions (Dover Publications Inc., New York, 1965), Chapter 9.
A. Erdelyi (ed.),Higher Transcendental Functions, Vol. II, The Bateman Manuscript Project (McGraw-Hill Book Company, New York, 1953), Chapter 7.
T. Berlin and M. Kac,Phys. Rev. 86:821 (1952).
R. D. Richtmyer,Principles of Advanced Mathematical Physics, Vol. I, (Springer-Verlag, New York, 1978).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Abraham, D.B., Smith, E.R. An exactly solved model with a wetting transition. J Stat Phys 43, 621–643 (1986). https://doi.org/10.1007/BF01020656
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01020656