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Analysis of Classical Statistical Mechanics by Means of Collective Coordinates
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.
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Citations
Cited by
Ripley, B. D. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01615.x · Cited by 2,511
What is "liquid"? Understanding the states of matter
Barker, J. A., & Henderson, D. (1976) · Reviews of Modern Physics · doi:10.1103/revmodphys.48.587 · Cited by 2,104
Percus–Yevick Equation for Hard Spheres with Surface Adhesion
Baxter, R. J. (1968) · The Journal of Chemical Physics · doi:10.1063/1.1670482 · Cited by 1,208
Integral Equation Theories of the Structure, Thermodynamics, and Phase Transitions of Polymer Fluids
Schweizer, K. S., & Curro, J. G. (1997) · Advances in Chemical Physics · doi:10.1002/9780470141571.ch1 · Cited by 386
Phase Transition of the Lennard-Jones System. II. High-Temperature Limit
Hansen, J.-P. (1970) · Physical Review A · doi:10.1103/physreva.2.221 · Cited by 337
Metadata
- Authors
- Percus, J. K., & Yevick, G. J.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1958-04-01
- Volume
- 110
- Issue
- 1
- Pages
- 1-13
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W1992470331
- Cited by
- 2,856
- References
- 0
- FWCI
- 3.05
- Type
- journal article
- Language
- en
- Open access
- closed
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- Percus, J. K., & Yevick, G. J. (1958). Analysis of Classical Statistical Mechanics by Means of Collective Coordinates. Physical Review. https://doi.org/10.1103/physrev.110.1
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