Hard-sphere and hard-disk freezing from the differential formulation of the generalized effective liquid approximation
- 1 January 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 47 (1) , 490-495
- https://doi.org/10.1103/physreve.47.490
Abstract
We apply the differential formulation of the generalized effective liquid approximation to the study of hard-sphere and hard-disk freezing. We show that the thermodynamic properties of the solid phase are rather insensitive to the compressibility factor of the fluid phase used to map the solid onto the effective liquid. The solid-fluid coexistence data instead are quite dependent on the equation of state describing the fluid phase. Very accurate results, as compared with the simulation data, are obtained for both the freezing of hard spheres and hard disks.Keywords
This publication has 22 references indexed in Scilit:
- The freezing of soft spheres from a simple hard-sphere perturbation theoryJournal of Physics: Condensed Matter, 1991
- Mapping a solid onto an ‘‘effective liquid’’Physical Review A, 1991
- Freezing of soft spheres: A critical test for weighted-density-functional theoriesPhysical Review A, 1990
- Nonperturbative density-functional theories of classical nonuniform systemsPhysical Review A, 1990
- Can the thermodynamic properties of a solid be mapped onto those of a liquid?Physical Review Letters, 1990
- Modified weighted-density-functional theory of nonuniform classical liquidsPhysical Review A, 1989
- Weighted-density-functional theory of inhomogeneous liquids and the freezing transitionPhysical Review A, 1985
- The freezing of hard spheresMolecular Physics, 1985
- Free-energy density functional for hard spheresPhysical Review A, 1985
- A density functional theory of meltingMolecular Physics, 1984