Duh Haymet: Difference between revisions
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:<math>B(\gamma^{*})= - \frac{1}{2} \gamma^{*2} \left[ \frac{1}{ \left[ 1+ \left( \frac{5\gamma^{*} +11}{7\gamma^{*} +9} \right) \gamma^{*} \right]} \right]</math> | :<math>B(\gamma^{*})= - \frac{1}{2} \gamma^{*2} \left[ \frac{1}{ \left[ 1+ \left( \frac{5\gamma^{*} +11}{7\gamma^{*} +9} \right) \gamma^{*} \right]} \right]</math> | ||
where (Eq. 10) <math>\gamma^{*}(r) = \gamma (r) - \beta \Phi_p(r)</math> where <math>\Phi_p (r)</math> is the perturbative part of the pair potential | where (Eq. 10) <math>\gamma^{*}(r) = \gamma (r) - \beta \Phi_p(r)</math> where <math>\Phi_p (r)</math> is the perturbative (attractive) part of the pair potential. | ||
==References== | ==References== | ||
#[http://dx.doi.org/10.1063/1.470724 Der-Ming Duh and A. D. J. Haymet "Integral equation theory for uncharged liquids: The Lennard-Jones fluid and the bridge function", Journal of Chemical Physics '''103''' pp. 2625-2633 (1995)] | #[http://dx.doi.org/10.1063/1.470724 Der-Ming Duh and A. D. J. Haymet "Integral equation theory for uncharged liquids: The Lennard-Jones fluid and the bridge function", Journal of Chemical Physics '''103''' pp. 2625-2633 (1995)] | ||
Revision as of 15:43, 26 February 2007
The Duh-Haymet (Ref. 1) (1995) Padé (3/2) approximation for the Bridge function for the Lennard Jones system is (Eq. 13)
![{\displaystyle B(\gamma ^{*})=-{\frac {1}{2}}\gamma ^{*2}\left[{\frac {1}{\left[1+\left({\frac {5\gamma ^{*}+11}{7\gamma ^{*}+9}}\right)\gamma ^{*}\right]}}\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/40d3b88c73a1428d4991636c5c01e10004c24296)
where (Eq. 10) where is the perturbative (attractive) part of the pair potential.
