Duh Haymet - Revision history

Carl McBride at 17:00, 26 June 2007

2007-06-26T17:00:19Z

← Older revision		Revision as of 19:00, 26 June 2007
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	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)		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)

Carl McBride at 12:16, 7 June 2007

2007-06-07T12:16:44Z

← Older revision		Revision as of 14:16, 7 June 2007
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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 (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]].

Carl McBride at 13:17, 21 March 2007

2007-03-21T13:17:45Z

← Older revision		Revision as of 15:17, 21 March 2007
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	The '''Duh-Haymet''' (Ref. 1) (1995) Padé (3/2) approximation for the Bridge function for the [[Lennard-Jones]] system is (Eq. 13)		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)

Nice and Tidy at 15:10, 27 February 2007

2007-02-27T15:10:48Z

← Older revision		Revision as of 17:10, 27 February 2007
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	The '''Duh-Haymet''' (Ref. 1) (1995) Padé (3/2) approximation for the Bridge function for the [[Lennard Jones]] system is (Eq. 13)		The '''Duh-Haymet''' (Ref. 1) (1995) Padé (3/2) approximation for the Bridge function for the [[Lennard-Jones]] system is (Eq. 13)


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	==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)]

			[[Category: Integral equations]]

Carl McBride at 14:43, 26 February 2007

2007-02-26T14:43:41Z

← Older revision		Revision as of 16:43, 26 February 2007
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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.
	~~(Note: in the [[WCA separation]] for the [[Lennard Jones]] system, the `perturbative part' is the attractive part).~~

	==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)]

Carl McBride: /* References */

2007-02-26T14:42:46Z

References

← Older revision		Revision as of 16:42, 26 February 2007
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	==References==		==References==
	#[~~JCP_1995_103_02625~~]		#[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)]

Carl McBride at 12:20, 23 February 2007

2007-02-23T12:20:56Z

← Older revision		Revision as of 14:20, 23 February 2007
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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 part of the pair potential

Carl McBride: New page: The '''Duh-Haymet''' (Ref. 1) (1995) Padé (3/2) approximation for the Bridge function for the Lennard Jones system is (Eq. 13) $B(\gamma^{})= - \frac{1}{2} \gamma^{2} \left...$

2007-02-23T12:20:34Z

New page: The '''Duh-Haymet''' (Ref. 1) (1995) Padé (3/2) approximation for the Bridge function for the Lennard Jones system is (Eq. 13) <math>B(\gamma^{*})= - \frac{1}{2} \gamma^{*2} \left...

New page

The '''Duh-Haymet''' (Ref. 1) (1995) Padé (3/2) approximation for the Bridge function for the [[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>

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
(Note: in the [[WCA separation]] for the [[Lennard Jones]] system, the `perturbative part' is the attractive part).

==References==
#[JCP_1995_103_02625]