Abstract
It is shown that the radial distribution function of fluid can be derived from the expression for the free energy in the form of a “functional derivative” with respect to the pair interaction potential. Three examples are treated on the line of the theory: (1) the simple chain approximation of classical fluid, (2) the second quantization and (3) the lowest state of the spinless bosons derived by Bogolyubov and Zubarev. A procedure, which differs from the usual one, is given in the derivation of the expressions by which the pressure and the internal energy are expressed in terms of the radial distribution function.
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