Abstract
We consider a liquid-vapor interface in thermal equilibrium. The tangential component of the pressure tensor is supposed to depend explicitly upon the position and the density profile. Under this hypothesis the mechanical definition of surface tension becomes a finite summation ofN+1 terms related directly to the local compressibility. When the inhomogeneous compressibility equation is considered, the theory provides a microscopic expression of the surface tension coefficient. A calculation for argon near the critical point is done; the agreement with experiment is satisfactory.
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References
J. K. Percus,Chem. Phys. Lett. 123:311 (1986).
R. C. Tolman,J. Chem. Phys. 17:118 (1949).
S. Ono and S. Kondo,Encyclopedia of Physics (Springer, Berlin, 1960).
J. G. Kirkwood and F. P. Buff,J. Chem. Phys. 17:388 (1949).
B. S. Carey, L. E. Scriven, and H. T. Davis,J. Chem. Phys. 69:5040 (1978).
J. S. Rowlinson and B. Widom,Molecular Theory of Capillarity (Clarendon, Oxford, 1982).
I. Z. Fisher,Statistical Theory of Liquids (University of Chicago Press, 1964); S. Toxvaerd, inStatistical Mechanics, Vol. II, K. Singer, ed. (Chemical Society, London, 1975), p. 266.
J. Yvon,Nuovo Cimento (Suppl.) 9:144 (1958).
C. A. Croxton,Statistical Mechanics of the Liquid Surface (Wiley, New York, 1980).
P. G. Mikolaj and C. J. Pings,J. Chem. Phys. 46:1401 (1967).
A. Eisenstein and N. S. Gingrich,Phys. Rev. 62:261 (1942).
E. S. Wu and W. W. Webb,Phys. Rev. A 8:2065 (1973).
D. Beaglehole,Physica 100B:163 (1980).
B. Widom,J. Chem. Phys. 43:3892 (1965); D. Jasnow,Rep. Prog. Phys. 47:1059 (1984).
J. O. Hirschfelder and Ch. F. Curtiss,Molecular Theory of Gases and Liquids (Wiley, New York, 1964).
M. Baus,J. Chem. Phys. 76:2003 (1982).
D. G. Triezenberg and R. Zwanzig,Phys. Rev. Lett. 28:1183 (1972).
K. S. Liu,J. Chem. Phys. 60:4226 (1974).
G. A. Chapela, G. Saville, S. M. Thompson, and J. S. Rowlinson,J. Chem. Soc. Faraday Trans. II 73:1133 (1977).
S. Toxvaerd,J. Chem. Phys. 55:3116 (1971).
R. W. Zwanzig, J. G. Kirkwood, K. F. Stripp, and I. Oppenheim,J. Chem. Phys. 21:1268 (1963).
A. G. MacLellan,Proc. R. Soc. A 213:274 (1952).
D. Stansfield,Proc. Phys. Soc. 72:854 (1958).
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Kuz, V.A., Vila, M.A., Garazo, A.N. et al. Theory of surface tension and its application to simple fluids. J Stat Phys 49, 1209–1219 (1987). https://doi.org/10.1007/BF01017567
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DOI: https://doi.org/10.1007/BF01017567