Full text loading...
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Density Correlations, Critical Opalescence, and the Free Energy of Nonuniform Fluids
1.J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 28, 258 (1958).
2.J. W. Cahn, J. Chem. Phys. 30, 1121 (1959).
3.J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 31, 688 (1959).
4.E. W. Hart, Phys. Rev. 113, 412 (1959).
5.E. W. Hart, Phys. Rev. 114, 27 (1959).
6.P. Debye, J. Chem. Phys. 31, 680 (1959).
7.L. S. Ornstein and F. Zernike, Physik. Z. 19, 134 (1918);
7.L. S. Ornstein and F. Zernike, 27, 761 (1926). , Phys. Z.
7.The work has been extended by L. Goldstein [Phys. Rev. 84, 466 (1951),
7.and L. Goldstein, Ann. Phys. 1, 33 (1957)]. To our knowledge, the “direct” correlation function which enters into this approach is known only through the integral equation which defines it in terms of the radial distribution function. It has not otherwise been related to the intermolecular potential or canonical averages, or higher‐order distribution functions.
8.Y. Rocard, J. Phys. Radium 4, 165 (1933).
9.In a very general and elegant approach to fluctuation correlations, M. J. Klein and L. Tisza [Phys. Rev. 76, 1861 (1949)] demonstrate that both the Ornstein‐Zernike and Rocard starting points follow from the general equations of Klein and Tisza. With less justification, they assert that different approximations are involved and accept Rocard’s conclusion that different formulas for critical opalescence follow.
10.H. S. Green, The Molecular Theory of Fluids (Interscience Publishers, Inc., New York, 1952), p. 131.
11.J. H. Irving and J. G. Kirkwood, J. Chem. Phys. 18, 817 (1950).
12.(a) J. K. Percus and G. J. Yevick, Phys. Rev. 110, 1 (1958).
12.(b) J. Yvon, Nuovo Cimento Suppl. 9, 144 (1958).
13.An alternative approximation would be to choose the density in Eq. (3) as The only effect on the calculation would be to change slightly the definition of in Eq. (27); the coefficient of in the numerator would be changed from to
14.T. L. Hill, Statistical Mechanics (McGraw‐Hill Book Company, Inc., New York, 1956).
15.This remark on the nature of near the critical point is due to B. H. Zimm [J. Chem. Phys. 19, 1019 (1951)].
16.The possibility that Eq. (19) might yield a significant improvement in the equation of state resulting from the superposition approximation is under investigation.
17.P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw‐Hill Book Company, Inc., New York, 1953), Chap. 3.
18.A. Einstein, Ann. Physik 25, 205 (1908).
19.M. Fixman, J. Chem. Phys. 23, 2074 (1955).
20.The integral (33) in footnote reference 19, which is the lowest order in the polarizability that might furnish a correction term, has been found to be negligible compared to the usual term, Eq. (45) here, even at the critical point.
21.B. H. Zimm, J. Phys. & Colloid Chem. 54, 1306 (1950).
22.Chow Quantie, Proc. Roy. Soc. (London) A224, 90 (1954).
23.R. Fürth and C. L. Williams, Proc. Roy. Soc. (London) A224, 104 (1954).
Article metrics loading...