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On the analytical solution of the Ornstein-Zernike equation with Yukawa closure |
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| Authors: | L. Blum F. Vericat J. N. Herrera-Pacheco |
| Affiliation: | (1) Department of Physics, University of Puerto Rico, 00931-3343 Rio Piedras, Puerto Rico;(2) Instituto de Física de Líquides y Sistemas Biológicos (IFLYSIB), Departamento de Fisicomatemáticas, Facultad de Ingeniería, Universidad de La Plata, La Plata, Argentina;(3) Escuela de Ciencias Fisicomatemáticas, Universidad Autónoma de Puebla, C. P. 72001, Puebla, Pue., Mexico |
| 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  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. |
| Keywords: | Liquids dense fluids analytical models Yukawa potentials |
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