Surface structure and surface tension: perturbation theory and Monte Carlo calculation

A Monte Carlo computation of the surface structure and surface tension of a liquid with molecules interacting according to the Lennard‐Jones 12–6 potential is described. The computation demonstrates the presence of a well‐developed layer structure at the surface extending to a depth of about eight molecular layers. The calculated surface tension agrees well with that predicted by Toxvaerd's extension of the Barker‐Henderson perturbation theory to nonuniform fluids. The latter theory also predicts well the averaged behavior of the surface density profile (though not the development of the layered structure). This theory is used with accurate pair and triplet potentials to calculate values of the surface tension of liquid argon that agree quantitatively with experiment over a wide range of temperatures.

[1]  S. Toxvaerd Statistical mechanical and quasithermodynamic calculations of surface densities and surface tension , 1973 .

[2]  D. Stansfield The Surface Tensions of Liquid Argon and Nitrogen , 1958 .

[3]  I. Lundström,et al.  Light scattering study of capillary waves on water covered by monomolecular films , 1973 .

[4]  Jean-Pierre Hansen,et al.  Phase Transitions of the Lennard-Jones System , 1969 .

[5]  E. A. Guggenheim The Principle of Corresponding States , 1945 .

[6]  H. Liebhafsky,et al.  Statistical Mechanics Thermodynamics and Kinetics , 1967 .

[7]  J. Kirkwood,et al.  The Statistical Mechanical Theory of Surface Tension , 1949 .

[8]  S. Toxvaerd Perturbation Theory for Nonuniform Fluids: Surface Tension , 1971 .

[9]  U. Ingard,et al.  Line Broadening of Light Scattered from a Liquid Surface , 1967 .

[10]  J. Barker,et al.  Perturbation Theory and Equation of State for Fluids. II. A Successful Theory of Liquids , 1967 .

[11]  William R. Smith,et al.  Pair and triplet interactions in argon , 1969 .

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

[13]  J. A. Barker,et al.  Liquid argon: Monte carlo and molecular dynamics calculations , 1971 .

[14]  G. M. Nazarian Statistical Mechanical Calculation of the Density Variation through a Liquid—Vapor Interface , 1972 .

[15]  R. Ferrier,et al.  Statistical mechanical calculation of the surface properties of simple liquids. III. Surface tension , 1971 .

[16]  J. A. Barker,et al.  Perturbation theory of fluids and deviations from classical behavior , 1969 .