The lines of critical points of rare-gas binary mixtures are evaluated
within the framework of a statistical mechanics theory of thermodynam
ic stability, recently developed by Chen and Forstmann. The phase inst
abilities an related to the local compositional and density order in t
he fluid through a density functional expansion of the grand canonical
potential. The structural inputs are determined by using the thermody
namically self-consistent integral equation scheme known as hypernette
d chain/mean spherical approximation (HMSA). A good agreement is obtai
ned with neutron scattering data of He-Xe and Ne-Xe mixtures near the
phase transition. Although the accuracy in reproducing the experimenta
l critical point lines is only semi-quantitative, the qualitative beha
viors are properly described. For the first time, a detailed microscop
ic interpretation of the so called behavior of the ''second type'' of
the critical line is given. (C) 1996 American Institute of Physics.