ANALYTICAL REPRESENTATION OF THE RADIAL-DISTRIBUTION FUNCTION FOR CLASSICAL FLUIDS

The previously established general solution of the Ornstein-Zernike (O Z) equation is elaborated upon further. A systematic and consistent su mmary of the first-order OZ solutions for various types of potentials is made, which enables one to obtain the first-order radial distributi on function (RDF) rapidly. Typical potentials, including the hard sphe re, sticky hard sphere, Yukawa, square-well, Lennard-Jones and Kihara, are treated with emphasis in this work. A new approach for obtaining explicit RDF expressions is proposed. Established on a basic function B(n(1), n(2), n(3), i, alpha), it is capable of representing the expli cit expressions in a compact and consistent manner for all the potenti als mentioned above. Moreover, the proposed approach can yield RDF val ues directly in any number of shells corresponding to any r values. Th e resulting expressions can be programmed readily in a computer thus f acilitating the RDF computation.