Perturbation Theory for Nonuniform Fluids: Surface Tension

The Barker—Henderson perturbation theory for uniform fluids is extended to include nonuniform fluids. The surface tension for a Lennard‐Jones fluid is calculated by minimizing the free energy in the surface layer. Comparison with the corresponding experimentally obtained values of surface tension for argon shows that excellent agreement is obtained in the case of a Lennard‐Jones 12–6 fluid with values of the potential parameters determined from the second virial coefficient.

[1]  So,et al.  Equation of State for a Lennard‐Jones Fluid , 1970 .

[2]  J. A. Barker,et al.  Approximate Evaluation of the Second‐Order Term in the Perturbation Theory of Fluids , 1970 .

[3]  G. W. Paul,et al.  Surface Tension of Simple Liquids from the Radial Distribution Function , 1970 .

[4]  G. A. Mansoori,et al.  Variational Approach to the Equilibrium Thermodynamic Properties of Simple Liquids. I , 1969 .

[5]  ren Toxvaerd,et al.  Perturbation Theory for Fluids , 1969 .

[6]  L. Verlet,et al.  Perturbation Theory and Equation of State for Fluids , 1969 .

[7]  Ian R. McDonald,et al.  Examination of the Adequacy of the 12–6 Potential for Liquid Argon by Means of Monte Carlo Calculations , 1969 .

[8]  J. A. Barker,et al.  Three-Body Forces in Dense Systems , 1968 .

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

[10]  J. Barker,et al.  Perturbation Theory and Equation of State for Fluids: The Square‐Well Potential , 1967 .

[11]  J. Dymond,et al.  Two‐Parameter Intermolecular Potential Energy Functions for Simple Molecules , 1966 .

[12]  Richard J. Bearman,et al.  Numerical Solutions of the Percus—Yevick Equation for the Hard‐Sphere Potential , 1965 .

[13]  E. W. Hart Thermodynamic Functions for Nonuniform Systems , 1963 .

[14]  R. Zwanzig High‐Temperature Equation of State by a Perturbation Method. I. Nonpolar Gases , 1954 .

[15]  A. Michels,et al.  Isotherms of argon between 0°c and 150°c and pressures up to 2900 atmospheres , 1949 .

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

[17]  R. Fowler A Tentative Statistical Theory of Macleod's Equation for Surface Tension, and the Parachor , 1937 .

[18]  R. D. Present,et al.  Vapor‐Pressure Test for Intermolecular Potentials , 1971 .

[19]  S. Toxvaerd,et al.  The Intermolecular Potential for Spherically Symmetrical Molecules. , 1968 .

[20]  M. Wertheim,et al.  Analytic Solution of the Percus-Yevick Equation , 1964 .

[21]  T. L. Hill Statistical Thermodynamics of the Transition Region between Two Phases. II. One Component System with a Plane Interface , 1952 .