DOI: 10.1063/1.1777574. Higher virial coefficients of four and five dimensional hard hyperspheres

Higher virial coefficients of four and five dimensional hard hyperspheres

10.1063/1.1777574

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The seventh and eighth virial coefficients for hard hyperspheres are calculated by Monte Carlo techniques. It is found that B7/B26=0.001 43±0.000 13 and 0.000 44±0.000 12 in four and five dimensions, respectively, and that B8/B27=0.000 414±0.000 20 in four dimensions. These values are used to investigate various proposed equations of state. Comparisons against the molecular dynamics calculations of Luban and Michels [M. Luban and J. P. J. Michels, Phys. Rev. A 41, 6796 (1990)] show that their proposed semiempirical form is excellent at higher densities. Moreover, we confirm Santos [A. Santos, J. Chem. Phys. 112, 10680 (2000)] observation in five dimensions that a suitable linear combination of the Percus–Yevick compressibility and virial equations of state fits the molecular dynamics data nearly as well as any other proposed form.

Bibliography

Bishop, M., Masters, A., & Vlasov, A. Yu. (2004). Higher virial coefficients of four and five dimensional hard hyperspheres. The Journal of Chemical Physics, 121(14), 6884â6886.

Authors 3

Marvin Bishop (first)
Andrew Masters (additional)
A. Yu. Vlasov (additional)

References 18 Referenced 17

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Dates

Type	When
Created	20 years, 11 months ago (Oct. 5, 2004, 9:39 a.m.)
Deposited	1 year, 6 months ago (Feb. 10, 2024, 11:10 a.m.)
Indexed	1 year, 2 months ago (June 26, 2024, 10:11 p.m.)
Issued	20 years, 10 months ago (Oct. 8, 2004)
Published	20 years, 10 months ago (Oct. 8, 2004)
Published Print	20 years, 10 months ago (Oct. 8, 2004)

Funders 0

None

BibTeX

@article{Bishop_2004, title={Higher virial coefficients of four and five dimensional hard hyperspheres}, volume={121}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1777574}, DOI={10.1063/1.1777574}, number={14}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Bishop, Marvin and Masters, Andrew and Vlasov, A. Yu.}, year={2004}, month=oct, pages={6884–6886} }

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