Analysis of Classical Statistical Mechanics by Means of Collective Coordinates

Jerome K. Percus, George J. Yevick

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)1-13
Number of pages13
JournalPhysical Review
Issue number1
StatePublished - 1958

ASJC Scopus subject areas

  • General Physics and Astronomy


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