Classical fluid in a periodic potential and the density-functional approach
- 1 December 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 32 (6) , 3726-3729
- https://doi.org/10.1103/physreva.32.3726
Abstract
We investigate the equilibrium state of a one-dimensional fluid of hard-core particles subject to a given external periodic potential. Starting from Percus’s exact theory we obtain accurate numerical results for the density profiles and the free energy. These are used for a quantitative test of an approximate free-energy functional frequently used in classical density-functional theories. We show that the density-functional approach works well in a rather broad range of physically interesting parameters. Limits of its applicability are also discussed.Keywords
This publication has 13 references indexed in Scilit:
- Density-functional theory of submonolayer phases of rare gases on graphitePhysical Review B, 1982
- Liquids in a periodic medium: Commensurability effectsZeitschrift für Physik B Condensed Matter, 1981
- Structure of liquids in a periodic potentialSolid State Communications, 1981
- Theoretical models for superionic conductorsAdvances in Physics, 1980
- The nature of the liquid-vapour interface and other topics in the statistical mechanics of non-uniform, classical fluidsAdvances in Physics, 1979
- First-principles order-parameter theory of freezingPhysical Review B, 1979
- Density-functional theory of classical systemsPhysical Review A, 1977
- Equilibrium state of a classical fluid of hard rods in an external fieldJournal of Statistical Physics, 1976
- Density-functional theory of simple classical fluids. I. SurfacesPhysical Review A, 1976
- Thermal Properties of the Inhomogeneous Electron GasPhysical Review B, 1965