Analysis of Classical Statistical Mechanics by Means of Collective Coordinates

Jerome K. Percus and George J. Yevick
Phys. Rev. 110, 1 – Published 1 April 1958
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Abstract

The three-dimensional classical many-body system is approximated by the use of collective coordinates, through the assumed knowledge of two-body correlation functions. The resulting approximate statistical state is used to obtain the two-body correlation function. Thus, a self-consistent formulation is available for determining the correlation function. Then, the self-consistent integral equation is solved in virial expansion, and the thermodynamic quantities of the system thereby ascertained. The first three virial coefficients are exactly reproduced, while the fourth is nearly correct, as evidenced by numerical results for the case of hard spheres.

  • Received 5 April 1957

DOI:https://doi.org/10.1103/PhysRev.110.1

©1958 American Physical Society

Authors & Affiliations

Jerome K. Percus and George J. Yevick

  • Department of Physics, Stevens Institute of Technology, Hoboken, New Jersey

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Vol. 110, Iss. 1 — April 1958

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