Cavity correlation function: Difference between revisions
Carl McBride (talk | contribs) (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''', <math>y(r_{12})</math>, is given by | ||
:<math>y(r) \equiv g(r) /e^{-\beta \ | |||
where <math>g(r)</math> is the [[Pair distribution function | pair distribution function]], <math>\ | :<math>y(r) \equiv {\mathrm{g}}(r) /e^{-\beta \Phi_{12}(r)}</math> | ||
is the [[ | |||
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 10:04, 28 February 2008
The cavity correlation function, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y(r_{12})} , is given by
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y(r) \equiv {\mathrm{g}}(r) /e^{-\beta \Phi_{12}(r)}}
where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle g(r)} is the pair distribution function, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Phi_{12}(r)} is the pair potential, and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \beta := 1(/k_B T) } , where Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k_B} is the Boltzmann constant and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T} is the temperature.