Tarazona's weighted density approximation: Difference between revisions
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:<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 ''A'' is the [[Helmholtz energy function]]. | |||
==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/10.1080/00268978400101071 P. Tarazona "A density functional theory of melting", Molecular Physics '''52''' pp. 81-96 (1984)] | ||
Revision as of 11:09, 9 October 2007
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![{\displaystyle A_{\mathrm {hard~sphere} }^{\mathrm {excess} }[\rho ({\mathbf {r} })]=\int \rho ({\mathbf {r} })a_{\mathrm {excess} }[{\overline {\rho }}({\mathbf {r} })]{\mathrm {d} }{\mathbf {r} }}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4bdbc32dbc4c8debc6281f94e1542daf759efc27)
where A is the Helmholtz energy function.
References
- P. Tarazona "A density functional theory of melting", Molecular Physics 52 pp. 81-96 (1984)
- P. Tarazona "Free-energy density functional for hard spheres", Physical Review A 31 pp. 2672 - 2679 (1985)
- P. Tarazona "Erratum: Free-energy density functional for hard spheres", Physical Review A 32 p. 3148 (1985)
- 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)