Exact solution of the mean spherical model for fluids of non-spherical molecules : inclusion of angle-dependent repulsive potentials. I
- 23 August 1975
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 30 (2) , 457-467
- https://doi.org/10.1080/00268977500102061
Abstract
The mean spherical model is solved in closed form for a fluid of hard spheres together with short-range angle-dependent repulsion and long-range multipole attraction, both of even parity. The solution is expressed in terms of the inverse Laplace transform of a function in Laplace space and a number of constants which must be found numerically.Keywords
This publication has 12 references indexed in Scilit:
- On the Local and Superlinear Convergence of Quasi-Newton MethodsIMA Journal of Applied Mathematics, 1973
- Invariant expansion III: The general solution of the mean spherical model for neutral spheres with electostatic interactionsThe Journal of Chemical Physics, 1973
- The radial distribution function for a fluid of hard spheres at high densitiesMolecular Physics, 1973
- Invariant Expansion. II. The Ornstein-Zernike Equation for Nonspherical Molecules and an Extended Solution to the Mean Spherical ModelThe Journal of Chemical Physics, 1972
- Mean Spherical Model for the Structure of Liquid MetalsThe Journal of Chemical Physics, 1972
- Mean Spherical Model Integral Equation for Charged Hard Spheres I. Method of SolutionThe Journal of Chemical Physics, 1972
- Intermolecular Potentials for N2 Molecules and the Lattice Vibrations of Solid α-N2The Journal of Chemical Physics, 1970
- Computer "Experiments" on Liquid MetalsPhysical Review B, 1969
- Mean Spherical Model for Lattice Gases with Extended Hard Cores and Continuum FluidsPhysical Review B, 1966
- Analytic Solution of the Percus-Yevick EquationJournal of Mathematical Physics, 1964