Distribution function theory for inhomogeneous fluids
- 15 November 1991
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 95 (10) , 7603-7611
- https://doi.org/10.1063/1.461386
Abstract
A theory for inhomogeneous fluids is presented. It is derived by an approach that is inspired by the cluster variation method for lattice systems. A systematic expansion of the free-energy functional is generated, which is then truncated and minimized to obtain integral equations for the density profile and the pair distribution function. The theory can be simplified by an additional approximation that serves to decouple the integral equations. Numerical results from this simplified theory show promising agreement with computer simulations.This publication has 13 references indexed in Scilit:
- A note on the cluster variation methodJournal of Statistical Physics, 1988
- Phase equilibria of fluid interfaces and confined fluidsMolecular Physics, 1987
- Density-functional theory for inhomogeneous fluids: Application to wettingPhysical Review A, 1985
- Free-energy density functional for hard spheresPhysical Review A, 1985
- On the nature of disjoining pressure oscillations in fluid filmsMolecular Physics, 1984
- Theory of Condensation in Narrow CapillariesPhysical Review Letters, 1984
- Wetting and thick-thin film transitions in a model of argon at a solid CsubstratePhysical Review A, 1983
- Convergence of the cluster-variation method in the thermodynamic limitPhysical Review B, 1983
- On the foundations of combinatorial theory I. Theory of M bius FunctionsProbability Theory and Related Fields, 1964
- A Theory of Cooperative PhenomenaPhysical Review B, 1951