Direct correlation function: Difference between revisions

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<math>c(1,2)</math>
The '''direct correlation function''', <math>c(1,2)</math> is encountered in the [[Ornstein-Zernike relation]], i.e.


:<math>h({\mathbf r}) - c({\mathbf r}) = \rho \int  h({\mathbf r'})~c(|{\mathbf r} - {\mathbf r'}|) {\rm d}{\mathbf r'}</math>
and also in the [[compressibility equation]], i.e.
:<math>\frac{1}{k_BT} \left.\frac{\partial p}{\partial \rho}\right\vert_{T} = 1 - \rho \int_0^{\infty} c(r) ~4 \pi r^2 ~{\rm d}r</math>
[[Category: Integral equations]]
[[Category: Integral equations]]

Revision as of 15:47, 19 February 2008

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The direct correlation function, is encountered in the Ornstein-Zernike relation, i.e.

and also in the compressibility equation, i.e.