Cavity correlation function: Difference between revisions

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(New page: <math>y(r_{12})</math> is the cavity correlation function, given by :<math>y(r) \equiv g(r) /e^{-\beta \Phi(r)}</math> where <math>g(r)</math> is the [[Pair distribution function | pair...)
 
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<math>y(r_{12})</math> is the  cavity correlation function, given by
The '''cavity correlation function''', <math>y(r_{12})</math>, is given by
:<math>y(r)  \equiv g(r) /e^{-\beta \Phi(r)}</math>  
 
where <math>g(r)</math> is the [[Pair distribution function | pair distribution function]], <math>\Phi(r)</math>
:<math>y(r)  \equiv {\mathrm{g}}(r) /e^{-\beta \Phi_{12}(r)}</math>  
is the [[Pair potential | pair potential]], and <math> \beta = 1(/k_B T) </math>, where <math>k_B</math>
 
is the [[Boltzmann constant]].
where <math>g(r)</math> is the [[Pair distribution function | pair distribution function]], <math>\Phi_{12}(r)</math>
is the [[Intermolecular pair potential | pair potential]], and <math> \beta := 1(/k_B T) </math>, where <math>k_B</math>
is the [[Boltzmann constant]] and <math>T</math> is the [[temperature]].


[[Category: Integral equations]]
[[Category: Integral equations]]

Latest revision as of 11:04, 28 February 2008

The cavity correlation function, , is given by

where is the pair distribution function, is the pair potential, and , where is the Boltzmann constant and is the temperature.