Mean spherical approximation for simple hard sphere fluids
- 1 September 1979
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 38 (3) , 823-841
- https://doi.org/10.1080/00268977900102071
Abstract
A method of solution of the mean spherical approximation (MSA) is given for systems of hard spheres whose interaction potential is of the form outside the hard core. The method thus allows solution of the MSA for a wide range of potentials. Details are given for the cases and +φ2 exp (−μ2 r). The method is also used to study the MSA for systems in which the interparticle potential is of the form The difficulties of an exact solution for such systems are pointed out and an approximate method of solution developed. The limit μ →0 is considered. Details are given for the caseKeywords
This publication has 25 references indexed in Scilit:
- Mean spherical model for asymmetric electrolytes. 2. Thermodynamic properties and the pair correlation functionThe Journal of Physical Chemistry, 1977
- Solution of the Yukawa closure of the Ornstein-Zernike equationJournal of Statistical Physics, 1977
- Supplement to Blum's theory for asymmetric electrolytesMolecular Physics, 1977
- Ornstein-Zernike equation with core condition and direct correlation function of Yukawa formMolecular Physics, 1976
- Exact solution of the mean spherical model for fluids of non-spherical molecules : inclusion of angle-dependent repulsive potentials. IMolecular Physics, 1975
- The radial distribution function for a fluid of hard spheres at high densitiesMolecular Physics, 1973
- Elastic Constants and Phonon Dispersion Curves for Solid Argon near 0 °KPhysical Review B, 1970
- The virial coefficients for the 6:12 potential using the Percus–Yevick theoryCanadian Journal of Physics, 1970
- Ornstein - Zernike Relation for a Disordered FluidAustralian Journal of Physics, 1968
- Exact Solution of the Percus-Yevick Integral Equation for Hard SpheresPhysical Review Letters, 1963