# Difference between revisions of "Duh Haymet"

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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 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]]. | ||

+ | |||

==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)] |

+ | |||

+ | [[Category: Integral equations]] |

## 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)

where (Eq. 10)

where is the perturbative (attractive) part of the pair potential.