# Literature on Miscibility Gap, Pair Correlation Function, Interaction Potentials

I have found textbooks/paper which discuss the pair-correlation function of molecules which are influenced by the Lennard-Jones potential. This gives a direct method for obtaining the various macroscopic properties of the substance such as internal energy and pressure.

However, I am unable to locate material which derives expressions related to the miscibility gap when two Lennard-Jones fluids are mixed together $$\textit{starting from}$$ the fundamental interaction potentials or the pair-correlation function. Can anyone suggest good reading material in this regard?