Phase equilibria of fluid interfaces and confined fluids

Phase transitions at fluid interfaces and in fluids confined in pores have been investigated by means of a density functional approach that treats attractive forces between fluid molecules in mean-field approximation and models repulsive forces by hard-spheres. Two types of approximation were employed for the hard-sphere free energy functional: (a) the well-known local density approximation (LDA) that omits short-ranged correlations and (b) a non-local smoothed density approximation (SDA) that includes such correlations and therefore accounts for the oscillations of the density profile near walls. Three different kinds of phase transition were considered: (i) wetting transition. The transition from partial to complete wetting at a single adsorbing wall is shifted to lower temperatures and tends to become first-order when the more-realistic SDA is employed. Comparison of the results suggests that the LDA overestimates the contact angle γ in a partial wetting situation. (ii) capillary evaporation of a fluid...

[1]  P. Tarazona,et al.  Long ranged correlations at a solid-fluid interface A signature of the approach to complete wetting , 1982 .

[2]  N. Ashcroft,et al.  Weighted-density-functional theory of inhomogeneous liquids and the freezing transition. , 1985, Physical review. A, General physics.

[3]  P. Tarazona,et al.  Capillary condensation and adsorption in cylindrical and slit-like pores , 1986 .

[4]  D. E. Sullivan Van der Waals model of adsorption , 1979 .

[5]  J. Henderson,et al.  On the approach to complete wetting by gas at a liquid-wall interface , 1985 .

[6]  S. Nordholm,et al.  The generalized van der Waals theory of wetting; non-local entropy and oscillatory structures , 1985 .

[7]  M. Schick,et al.  Continuous and first-order wetting transition from the van der Waals theory of fluids , 1983 .

[8]  John W. Cahn,et al.  Critical point wetting , 1977 .

[9]  H. Frisch,et al.  Theory of the Two‐ and One‐Dimensional Rigid Sphere Fluids , 1961 .

[10]  K. E. Starling,et al.  Equation of State for Nonattracting Rigid Spheres , 1969 .

[11]  P. Tarazona,et al.  Theory of condensation in narrow capillaries , 1984 .

[12]  P. Tarazona,et al.  Fluids in narrow pores: adsorption, capillary condensation, and critical points , 1986 .

[13]  C. Croxton Fluid interfacial phenomena , 1986 .

[14]  Kroll,et al.  Density-functional theory for inhomogeneous fluids: Application to wetting. , 1985, Physical review. A, General physics.

[15]  P. Tarazona,et al.  On the failure of certain integral equation theories to account for complete wetting at solid-fluid interfaces , 1983 .

[16]  R. Evans The nature of the liquid-vapour interface and other topics in the statistical mechanics of non-uniform, classical fluids , 1979 .

[17]  K. Gubbins,et al.  Fluid behaviour in narrow pores , 1986 .

[18]  S. Nordholm,et al.  A generalized van der Waals model for solvation forces between solute particles in a colloidal suspension , 1983 .

[19]  S. Nordholm,et al.  Generalized van der Waals theory. III. The prediction of hard sphere structure , 1980 .

[20]  P. Tarazona,et al.  Free-energy density functional for hard spheres. , 1985, Physical review. A, General physics.

[21]  R. Evans,et al.  Phase transitions in a confined lattice gas: prewetting and capillary condensation , 1987 .

[22]  P. Tarazona,et al.  A simple density functional theory for inhomogeneous liquids , 1984 .

[23]  G. Stell,et al.  Structure of a simple fluid near a wall. I. Structure near a hard wall , 1978 .

[24]  P. Tarazona,et al.  Wetting transitions at models of a solid-gas interface , 1983 .

[25]  J. Lane,et al.  Monte Carlo simulation of the effects of adsorption on interparticle forces , 1980 .

[26]  P. Tarazona,et al.  A density functional theory of melting , 1984 .

[27]  F. Abraham,et al.  The interfacial density profile of a Lennard‐Jones fluid in contact with a (100) Lennard‐Jones wall and its relationship to idealized fluid/wall systems: A Monte Carlo simulation , 1978 .