Abstract
The general gradient theory of fluid microstructures is outlined. This theory reduces the determination of fluid microstructures to a boundary value problem. The density and pressure tensor profiles and the tension of planar thin films and layered structures in one-component fluids are investigated. The boundary conditions determining these structures are given a geometric interpretation in the free energy-density diagram. Discussed are the implications of the theory for the validity of Antonov's rule, the duplex film hypothesis, and the asymptotic theory of disjoining pressure and of the origin of a characteristic length scale in spinodal decomposition.
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References
Lord Rayleigh,Phil. Mag. 33:209 (1892).
J. D. van der Waals and Ph. Kohnstamm,Lehrbuch der Thermodynamik (Mass and van Suchtelen, Leipzig, 1908), Vol. I.
J. W. Cahn and J. E. Hilliard,J. Chem. Phys. 28:258 (1958).
V. Bongiorno and H. T. Davis,Phys. Rev. A 13:2213 (1973).
V. Bongiorno, L. E. Scriven, and H. T. Davis,J. Colloid Interface Sci. 57:462 (1976); A. H. Falls, L. E. Scriven, and H. T. Davis,J. Chem. Phys. (submitted for publication).
B. M. McCoy and H. T. Davis,Phys. Rev. A 20: 1201 (1979).
B. S. Carey, L. E. Scriven, and H. T. Davis,AIChE J. 24:1076 (1978); (1979) (to be published).
A. J. M. Yang, P. D. Fleming III, and J. H. Gibbs,J. Chem. Phys. 64:3732 (1976); P. D. Fleming III, A. J. M. Yang, and J. H. Gibbs,J. Chem. Phys. 65:7 (1976).
B. S. Carey, L. E. Scriven, and H. T. Davis,J. Chem. Phys. 69:5040 (1978).
B. F. McCoy, L. E. Scriven, and H. T. Davis,J. Chem. Phys. (to be published).
R. Bearman and J. G. Kirkwood,J. Chem. Phys. 28:136 (1958).
H. T. Davis and L. E. Scriven,J. Chem. Phys. 69:5215 (1978).
F. H. Stillinger, Jr. and A. Ben-Naim,J. Chem. Phys. 47:4431 (1967).
J. D. Weeks, D. Chandler, and H. C. Andersen,J. Chem. Phys. 54:5237 (1971);Phys. Rev. A 4:1597 (1971).
B. Widom,J. Chem. Phys. 62:1332 (1975).
J. C. Melrose,SCI Monograph No. 25 (1967), p. 123.
B. V. Deryagin,Zh. Fiz. Khim. 5:379 (1934).
B. V. Deryagin and Kussakov,Bull. Acad. Sci. USSR 1936:471;Acta Physicochim. 10:25 (1939).
A. Sheludko,Adv. Coll. Interface Sci. 1:391 (1967).
A. I. Rusanov and F. M. Kuni, inResearch in Surface Forces, V. B. Deryagin, ed. (Consultants Bureau, N.Y., 1971), Vol. 3, p. 111.
J. W. Cahn,J. Chem. Phys. 42:93 (1965).
H. T. Davis and L. E. Scriven,Adv. Chem. Phys. (1981) (to appear).
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This work was supported financially by the U.S. Department of Energy and the National Science Foundation.
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Davis, H.T., Scriven, L.E. Gradient theory of fluid microstructures. J Stat Phys 24, 243–268 (1981). https://doi.org/10.1007/BF01007647
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DOI: https://doi.org/10.1007/BF01007647