Editing Tarazona's weighted density approximation
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Inspired by the exact solution known for the system of [[1-dimensional hard rods]], | Inspired by the exact solution known for the system of [[1-dimensional hard rods]], | ||
Pedro Tarazona proposed a series of models in the 1980's | Pedro Tarazona proposed a series of models in the 1980's (Refs. 1-4), in which the | ||
dependence of the [[Helmholtz energy function]] is weighted: | |||
in which the dependence of the [[Helmholtz energy function]] is weighted: | |||
:<math>A_{\mathrm {hard~sphere}}^{\mathrm {excess}} [\rho ({\mathbf r})] = \int \rho ({\mathbf r}) a_{\mathrm {excess}} [\overline\rho ({\mathbf r})]{\mathrm d}{\mathbf r}</math>, | :<math>A_{\mathrm {hard~sphere}}^{\mathrm {excess}} [\rho ({\mathbf r})] = \int \rho ({\mathbf r}) a_{\mathrm {excess}} [\overline\rho ({\mathbf r})]{\mathrm d}{\mathbf r}</math>, | ||
where <math>\overline\rho ({\mathbf r})</math> is an average of the | where <math>\overline\rho ({\mathbf r})</math> is an average of the | ||
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==References== | ==References== | ||
#[http://dx.doi.org/10.1080/00268978400101071 P. Tarazona "A density functional theory of melting", Molecular Physics '''52''' pp. 81-96 (1984)] | |||
#[http://dx.doi.org/10.1103/PhysRevA.31.2672 P. Tarazona "Free-energy density functional for hard spheres", Physical Review A '''31''' pp. 2672 - 2679 (1985)] | |||
#[http://dx.doi.org/10.1103/PhysRevA.32.3148 P. Tarazona "Erratum: Free-energy density functional for hard spheres", Physical Review A '''32''' p. 3148 (1985)] | |||
#[http://dx.doi.org/10.1080/00268978700100381 P. Tarazona, U. Marini Bettolo Marconi and R. Evans "Phase equilibria of fluid interfaces and confined fluids: Non-local versus local density functionals" Molecular Physics '''60''' pp. 573 - 595 (1987)] | |||
[[category:density-functional theory]] | [[category:density-functional theory]] | ||
[[category:hard sphere]] | [[category:hard sphere]] | ||