The Fisher-Kopeliovich generalized superposition approximation is applied to the entropy equation derived in the preceding paper. The free energy is written as a functional of the 1, 2, 3-body distribution functions and is minimized with the constraint that these distribution functions remain normalized. A system of integral equations is obtained which contains the HNC equation as a limiting case. An expression for the free energy of a homogeneous system is also obtained.
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J.A. Hernando (1990) studied this question.
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