Abstract
Within a lattice model describing a binary mixture with fixed concentrations of the species we discuss the relationship between the surface tension of the mixture and the concentrations.
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E.A. Guggenheim (1945) ArticleTitleTrans Faraday Soc. 41 150 Occurrence Handle10.1039/tf9454100150 Occurrence Handle1:CAS:528:DyaH2MXitleisQ%3D%3D
R. Defay I. Prigogine (1950) ArticleTitleTrans Faraday Soc. 46 199 Occurrence Handle10.1039/tf9504600199 Occurrence Handle1:CAS:528:DyaG3cXjvF2htg%3D%3D
J.G. Eberhart (1966) J Phys Chem. 70 1183 Occurrence Handle1:CAS:528:DyaF28XotVSisA%3D%3D
B. Szyszkowsky Particlevon (1908) J Phys Chem. 64 385
H.P. Meissner A.S. Michaels (1949) Ind Eng Chem. 42 2782 Occurrence Handle10.1021/ie50480a028
A.W. Adamson (1997) Physical Chemistry of Surfaces Wiley New–York
R. Defay I. Prigogine A. Bellmans D.H. Everett (1966) Surface Tensions and Absorption Longmans Green and Co. London
J. De Coninck and J. Ruiz, Preprint (2003).
J.C. Wheeler B. Widom (1970) J. Chem Phys. 52 5334 Occurrence Handle10.1063/1.1672783 Occurrence Handle1:CAS:528:DyaE3cXktF2jsLw%3D
J.L. Lebowitz G. Gallavotti (1971) J Math Phys. 12 1129 Occurrence Handle10.1063/1.1665708 Occurrence Handle1:CAS:528:DyaE3MXkvFWlu7w%3D
G. Gallavotti (1972) Commun Math. Phys. 27 103 Occurrence Handle10.1007/BF01645615
R.L. Dobrushin (1972) Theory Prob Appl. 17 582 Occurrence Handle10.1137/1117073
M. Blume V. Emery R.B. Griffiths (1971) Phys Rev A 4 1071 Occurrence Handle10.1103/PhysRevA.4.1071
D. Ruelle (1969) Statistical Mechanics: Rigorous Results Benjamin New–York Amsterdam
D. Ruelle (1978) Thermodynamic Formalism Addison-Wesley Reading
Ya. G. Sinai (1982) Theory of Phase Transitions: Rigorous Results Pergamon Press London
M. Zahradnik (1984) Commun Math Phys. 93 359
A. Martin Löf, G. Gallavotti, and S. Miracle–Sole, in Statistical Mechanics and Mathematical Problems, Lecture Notes in Physics (Springer, Berlin, 1973) vol. 20, p. 162.
S. Miracle-Solé (2000) Physica A 279 244
R. Kotecky D. Preiss (1986) Commun Math. Phys. 103 491 Occurrence Handle10.1007/BF01211762
J. Bricmont J.L. Lebowitz C.–E. Pfister (1980) Ann N Y Acad Sci. 337 214
J. Bricmont J.L. Lebowitz C.–E. Pfister (1979) Commun Math. Phys. 66 267 Occurrence Handle10.1007/BF01197448
S. Miracle-Solé (1995) J Stat Phys. 79 183
D. B. Abraham, in Phase Transitions and Critical Phenomena, Vol. 10, C. Domb and J. L. Lebowitz, eds. (Academic Press, London, 1986)
C.–E. Pfister, in Scaling and Self–similarity in Physics, J. Fröhlich, ed. (Birkauser, 1982).
H.N.V. Temperley (1949) Proc roy Soc A 199 3
Work in progress.
C. Borgs J. Imbrie (1989) Commun Math Phys. 123 305 Occurrence Handle10.1007/BF01238860
C. Dobrovolny L. Laanait J. Ruiz (2004) J Stat Phys. 114 1269 Occurrence Handle10.1023/B:JOSS.0000013957.89983.81
J. Bricmont J. Fröhlich (1985) ArticleTitleCommun Math. Phys. 98 553 Occurrence Handle10.1007/BF01209330
R.L. Dobrushin R. Kotecky S.B. Shlosman (1992) Wulff Construction: A Global Shape from Local Interactions Providence New–York
J. De Coninck R. Kotecky L. Laanait J. Ruiz (1992) Physica A 189 616
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Coninck, J.D., Miracle–Solé, S. & Ruiz, J. On the Statistical Mechanics and Surface Tensions of Binary Mixtures. J Stat Phys 119, 597–642 (2005). https://doi.org/10.1007/s10955-005-3251-6
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DOI: https://doi.org/10.1007/s10955-005-3251-6