DERIVING INTEGRAL-EQUATIONS FOR RADIAL-DISTRIBUTION FUNCTIONS OF MULTICOMPONENT MIXTURES ON THE BASIS OF SCALE TRANSFORMATIONS IN THE PHASE-SPACE

It is shown that scale transformations of the coordinate part of the p hase space for one of the mixture components correspond to virtual var iations in the local density for the same component in a thermodynamic system. The investigation results are used to construct different var iants of a generating functional with the goal of deriving a system of integral equations for the radial distribution functions of mixtures. An equation of state, which is a modification of the Tate equation, i s obtained. Systems of integral equations that imply, in the limit, th e Perkus-Yevick equations and systems of equations for hypernetted cha ins are derived for radial distribution functions.