Cavity correlation function

The cavity correlation function, \(y(r_{12})\), is given by

\[y(r) \equiv {\mathrm{g}}(r) /e^{-\beta \Phi_{12}(r)}\]

where \(g(r)\) is the pair distribution function, \(\Phi_{12}(r)\) is the pair potential, and \( \beta := 1(/k_B T) \), where \(k_B\) is the Boltzmann constant and \(T\) is the temperature.