Duh Haymet: Difference between revisions
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The '''Duh-Haymet''' (Ref. 1) (1995) Padé (3/2) approximation for the | The '''Duh-Haymet''' (Ref. 1) (1995) Padé (3/2) approximation for the [[bridge function]] for the [[Lennard-Jones model |Lennard-Jones]] system is (Eq. 13) | ||
:<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 (attractive) part of the pair potential. | where (Eq. 10) | ||
:<math>\left. \gamma^{*}(r) \right.= \gamma (r) - \beta \Phi_p(r)</math> | |||
where <math>\Phi_p (r)</math> is the perturbative (attractive) part of the [[Intermolecular pair potential | pair potential]]. | |||
Latest revision as of 18:00, 26 June 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.
