Tarazona's weighted density approximation: Difference between revisions

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{{Stub-general}}
:<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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Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\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}}

where A is the Helmholtz energy function.

References

  1. P. Tarazona "A density functional theory of melting", Molecular Physics 52 pp. 81-96 (1984)
  2. P. Tarazona "Free-energy density functional for hard spheres", Physical Review A 31 pp. 2672 - 2679 (1985)
  3. P. Tarazona "Erratum: Free-energy density functional for hard spheres", Physical Review A 32 p. 3148 (1985)
  4. 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)