DOI: 10.1063/1.1541615. On the first-order mean spherical approximation

On the first-order mean spherical approximation

10.1063/1.1541615

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The general solution of the Ornstein–Zernike equation presented by Tang and Lu [J. Chem. Phys. 99, 9828 (1993)] is further discussed. By applying the Hilbert transform, the first-order factorization and direct correlation functions (DCF) are generally and analytically obtained, with emphasis on the mean spherical approximation (MSA) for Yukawa fluids. These analytical results are employed to produce a new DCF for hard spheres through integrating with the previous generalized mean spherical approximation [J. Chem. Phys. 103, 7463 (1995)]. The new DCF is of simple analytical form and remedies the deficiencies of its Percus–Yevick version at high densities. Comparisons between the first-order and full MSA solutions are also made. It is shown that the two solutions give very close results for thermodynamic properties in the phase stable region and phase coexistence curves away from the critical point. At unstable states, the first-order MSA looks more advantageous when applications go beyond homogeneous.

Bibliography

Tang, Y. (2003). On the first-order mean spherical approximation. The Journal of Chemical Physics, 118(9), 4140â4148.

Authors 1

Yiping Tang (first)

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Dates

Type	When
Created	22 years, 6 months ago (Feb. 14, 2003, 11:04 a.m.)
Deposited	1 year, 7 months ago (Feb. 5, 2024, 9 p.m.)
Indexed	3 months, 1 week ago (May 28, 2025, 10:23 a.m.)
Issued	22 years, 6 months ago (March 1, 2003)
Published	22 years, 6 months ago (March 1, 2003)
Published Print	22 years, 6 months ago (March 1, 2003)

Funders 0

None

BibTeX

@article{Tang_2003, title={On the first-order mean spherical approximation}, volume={118}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1541615}, DOI={10.1063/1.1541615}, number={9}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Tang, Yiping}, year={2003}, month=mar, pages={4140–4148} }

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