DOI: 10.1063/1.443679. The critical region in the Percus–Yevick approximation. A numerical study for a Lennard-Jones potential

The critical region in the Percus–Yevick approximation. A numerical study for a Lennard-Jones potential

10.1063/1.443679

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The Percus–Yevick equation is numerically solved by using the compressibility equation of state, and its behavior near the critical point is analyzed. We have used a Lennard-Jones potential without truncation, assuming an asymptotic form for the direct correlation function. The results show that the equation of state in the critical region has the same structure as the one obtained from the van der Waals equation. Then, the classical values of the critical exponents are obtained. Furthermore, the critical isotherm, the coexistence curve, and the spinodal curve are symmetrical around the critical point. Thus, the nonclassical behavior of the Percus–Yevick equation seems to be restricted to a certain class of interaction potentials.

Bibliography

Brey, J. J., Santos, A., & Romero, F. (1982). The critical region in the PercusâYevick approximation. A numerical study for a Lennard-Jones potential. The Journal of Chemical Physics, 77(10), 5058â5064.

Authors 3

J. J. Brey (first)
A. Santos (additional)
F. Romero (additional)

References 16 Referenced 15

10.1016/0378-4371(81)90161-8 / Physica A (1981)
{'key': '2024020922514437800_r2'}
{'key': '2024020922514437800_r3'}
10.1103/RevModPhys.46.597 / Rev. Mod. Phys. (1974)
10.1103/RevModPhys.48.587 / Rev. Mod. Phys. (1976)
10.1103/PhysRevLett.47.421 / Phys. Rev. Lett. (1981)
10.1103/PhysRevLett.46.795 / Phys. Rev. Lett. (1981)
10.1103/PhysRevA.25.1060 / Phys. Rev. A (1982)
10.1103/PhysRevLett.48.447 / Phys. Rev. Lett. (1982)
10.1063/1.1670482 / J. Chem. Phys. (1968)
10.1103/PhysRevA.6.1224 / Phys. Rev. A (1972)
10.1016/0375-9601(78)90338-9 / Phys. Lett. A (1978)
10.1016/0021-9991(71)90021-0 / J. Comput. Phys. (1971)
10.1063/1.1667953 / J. Chem. Phys. (1968)
10.1103/PhysRev.154.170 / Phys. Rev. (1967)
{'key': '2024020922514437800_r16'}

Dates

Type	When
Created	22 years, 6 months ago (Feb. 28, 2003, 11:32 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 7:27 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 2:21 p.m.)
Issued	42 years, 9 months ago (Nov. 15, 1982)
Published	42 years, 9 months ago (Nov. 15, 1982)
Published Print	42 years, 9 months ago (Nov. 15, 1982)

Funders 0

None

BibTeX

@article{Brey_1982, title={The critical region in the Percus–Yevick approximation. A numerical study for a Lennard-Jones potential}, volume={77}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.443679}, DOI={10.1063/1.443679}, number={10}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Brey, J. J. and Santos, A. and Romero, F.}, year={1982}, month=nov, pages={5058–5064} }

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