DOI: 10.1063/1.463306. Exact integral equations for the distribution functions of liquids and liquid mixtures

Exact integral equations for the distribution functions of liquids and liquid mixtures

10.1063/1.463306

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

A known identity relating the functional density derivative of the pair distribution function g(12) of nonuniform liquids to the triplet distribution function g(123) is obtained within the grand canonical ensemble, but then generalized to the case of nonuniform liquid mixtures with either short- or long-range forces. The resulting identities are easily applied to the case of uniform one- or multicomponent liquids, and when applied to the case of a binary Coulomb mixtures, they yield the canonical sum rules relating the n-point to the (n+1)-point distribution functions. Finally, when applied to the one-component plasma (OCP), taken as a particular limiting case, the expected result that the total compressibility of the OCP must vanish in the thermodynamic limit is obtained.

Bibliography

Likos, C. N., & Ashcroft, N. W. (1992). Exact integral equations for the distribution functions of liquids and liquid mixtures. The Journal of Chemical Physics, 97(12), 9303â9310.

Authors 2

C. N. Likos (first)
N. W. Ashcroft (additional)

References 20 Referenced 6

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{'key': '2024020716120922700_r2'}
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10.1088/0370-1328/88/1/318 / Proc. Phys. Soc. (1966)
10.1088/0370-1328/91/2/132 / Proc. Phys. Soc. (1967)
10.1063/1.1674454 / J. Chem. Phys. (1970)
10.1063/1.1678871 / J. Chem. Phys. (1972)
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10.1016/0370-1573(80)90022-8 / Phys. Rep. (1980)
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{'key': '2024020716120922700_r11'}
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Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 8:20 a.m.)
Deposited	1 year, 6 months ago (Feb. 7, 2024, 5:33 p.m.)
Indexed	1 year, 6 months ago (Feb. 7, 2024, 6:10 p.m.)
Issued	32 years, 8 months ago (Dec. 15, 1992)
Published	32 years, 8 months ago (Dec. 15, 1992)
Published Print	32 years, 8 months ago (Dec. 15, 1992)

Funders 0

None

BibTeX

@article{Likos_1992, title={Exact integral equations for the distribution functions of liquids and liquid mixtures}, volume={97}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.463306}, DOI={10.1063/1.463306}, number={12}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Likos, C. N. and Ashcroft, N. W.}, year={1992}, month=dec, pages={9303–9310} }

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