Cavity correlation function

$y(r_{12})$ is the cavity correlation function, given by

$y(r)\equiv g(r)/e^{-\beta \Phi (r)}$

where $g(r)$ is the pair distribution function, Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \Phi (r)} is the pair potential, and $\beta =1(/k_{B}T)$, where $k_{B}$ is the Boltzmann constant.