### 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.

Original language | English (US) |
---|---|

Pages (from-to) | 1-13 |

Number of pages | 13 |

Journal | Physical Review |

Volume | 110 |

Issue number | 1 |

DOIs | |

State | Published - 1958 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review*,

*110*(1), 1-13. https://doi.org/10.1103/PhysRev.110.1

**Analysis of Classical Statistical Mechanics by Means of Collective Coordinates.** / Percus, Jerome; Yevick, George J.

Research output: Contribution to journal › Article

*Physical Review*, vol. 110, no. 1, pp. 1-13. https://doi.org/10.1103/PhysRev.110.1

}

TY - JOUR

T1 - Analysis of Classical Statistical Mechanics by Means of Collective Coordinates

AU - Percus, Jerome

AU - Yevick, George J.

PY - 1958

Y1 - 1958

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=7544220942&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=7544220942&partnerID=8YFLogxK

U2 - 10.1103/PhysRev.110.1

DO - 10.1103/PhysRev.110.1

M3 - Article

VL - 110

SP - 1

EP - 13

JO - Physical Review

T2 - Physical Review

JF - Physical Review

SN - 0031-899X

IS - 1

ER -