DOI: 10.1063/1.443316. Third and fourth virial coefficients of hard hyperspheres of arbitrary dimensionality

Third and fourth virial coefficients of hard hyperspheres of arbitrary dimensionality

10.1063/1.443316

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We derive exact expressions for the third virial coefficient B3 and two of the three terms B4(⧠) and B4(⧅) contributing to the fourth virial coefficient B4 for an assembly of hard hyperspheres of arbitrary dimensionality d. A semiempirical formula, accurate for all d, is proposed for the remaining term B4(⊠). This formula is suggested by the large-d asymptotic behavior of B3 and B4(⧠). We find that B4 is positive for d&lt;d4 and negative for d&gt;d4, with d4 estimated to be d4≈7.8, whereas B4(⧠)+B4(⧅) changes sign for d = 9.073

Bibliography

Luban, M., & Baram, A. (1982). Third and fourth virial coefficients of hard hyperspheres of arbitrary dimensionality. The Journal of Chemical Physics, 76(6), 3233â3241.

Authors 2

Marshall Luban (first)
Asher Baram (additional)

References 21 Referenced 73

{'key': '2024020921510006800_r1'}
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10.1016/0378-4371(76)90029-7 / Physica A (1976)
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{'key': '2024020921510006800_r10'}
{'key': '2024020921510006800_r11'}
10.1088/0022-3719/12/17/005 / J. Phys. C (1979)
{'key': '2024020921510006800_r13'}
{'key': '2024020921510006800_r14'}
{'key': '2024020921510006800_r15'}
{'key': '2024020921510006800_r16'}

Dates

Type	When
Created	22 years, 6 months ago (Feb. 28, 2003, 11:17 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 6:33 p.m.)
Indexed	1 month, 3 weeks ago (July 7, 2025, 4:24 a.m.)
Issued	43 years, 5 months ago (March 15, 1982)
Published	43 years, 5 months ago (March 15, 1982)
Published Print	43 years, 5 months ago (March 15, 1982)

Funders 0

None

BibTeX

@article{Luban_1982, title={Third and fourth virial coefficients of hard hyperspheres of arbitrary dimensionality}, volume={76}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.443316}, DOI={10.1063/1.443316}, number={6}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Luban, Marshall and Baram, Asher}, year={1982}, month=mar, pages={3233–3241} }

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