Abstract
We discuss the solution of the Ornstein-Zernike equation for most general closure consisting of a sum ofM Yukawa-type exponentials. A formal solution for the factored case is bound for an arbitrary mixture of hard spheres introducing a general scaling matrix Γ of dimensions M×M. A sufficient number of equations for this matrix is obtained from symmetry considerations and the boundary condition. We discuss also restricted and semirestricted case, for which explicit solutions in terms of the scaling parameters and input parameters are found.
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Blum, L., Vericat, F. & Herrera-Pacheco, J.N. On the analytical solution of the Ornstein-Zernike equation with Yukawa closure. J Stat Phys 66, 249–262 (1992). https://doi.org/10.1007/BF01060067
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DOI: https://doi.org/10.1007/BF01060067