Determining the three-particle distribution $g_3$ is considered for an equilibrium system in which the particles interact via a pair potential. The form of $g_3$ is determined from a variational principle for the free energy by the use of the second equation in the BBHCI chain to provide additional conditions in conjunction with the correlation-attenuation principle. A study is made of the behavior of $g_3$ in configurations near the most likely one; this agrees with published data from computer experiments and virial expansion.
Department of Quantum Radiophysics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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