Skip to main content
SpringerLink
Log in

The Fourth Virial Coefficient of a Fluid of Hard Spheres in Odd Dimensions

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

The fourth virial coefficient is calculated exactly for a fluid of hard spheres in odd dimensions up to 11.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. N. Clisby B.M. McCoy (2004) J. Stat. Phys. 114 IssueID5–6 1343 Occurrence Handle10.1023/B:JOSS.0000013959.30878.d2

    Article  Google Scholar 

  2. Boltzmann L. (1899). Versl.Gewone Vergadering Afk.Natuurk. Nederlandse Akad. Wtensch., 7:484 (1899).

  3. J. S. Rowlinson (1964) Mol. Phys. 7 593

    Google Scholar 

  4. P.C. Hemmer (1965) J. Chem. Phys. 42 1116 Occurrence Handle10.1063/1.1696049 Occurrence Handle1:CAS:528:DyaF2MXjtlCgsw%3D%3D

    Article  CAS  Google Scholar 

  5. J. D. van der Waals, Dissertation, Leiden 1873.

  6. L. Boltzmann (1896) Szber. Akad. Wiss. Wien. Math. Natur. -w. Kl. (Part 2a) 105 695

    Google Scholar 

  7. G. Jäger (1896) Szber. Akad. Wiss. Wien. Math. Natur. -w. Kl. (Part 2a) 105 15

    Google Scholar 

  8. M Luban A Baram (1982) J. Chem. Phys. 76 3233 Occurrence Handle10.1063/1.443316 Occurrence Handle1:CAS:528:DyaL38XhsV2mtLc%3D

    Article  CAS  Google Scholar 

  9. M. Luban J.P.J. Michels (1990) Phys. Rev. A 41 6796 Occurrence Handle10.1103/PhysRevA.41.6796 Occurrence Handle1:CAS:528:DyaK3cXks1Glu7c%3D Occurrence Handle9903093

    Article  CAS  PubMed  Google Scholar 

  10. J. E. Mayer and M. G. Mayer, Statistical Mechanics (Wiley, 1940).

  11. G.E. Uhlenbeck G.W. Ford (1962) Studies in Statistical Mechanics North-Holland Co Amsterdam

    Google Scholar 

  12. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, Inc., 1994).

  13. M Bishop M Masters J. H. R. Clarke (1999) J. Chem. Phys. 110 IssueID23 11449 Occurrence Handle10.1063/1.479086 Occurrence Handle1:CAS:528:DyaK1MXjtlegsbw%3D

    Article  CAS  Google Scholar 

  14. N Clisby B. M. McCoy (2004) J. Stat. Phys. 114 IssueID5–6 1361 Occurrence Handle10.1023/B:JOSS.0000013960.83555.7d

    Article  Google Scholar 

  15. J. S. Rowlinson (1963) Mol. Phys. 6 517 Occurrence Handle1:CAS:528:DyaF3sXkslaltrY%3D

    CAS  Google Scholar 

  16. J. H. Nairn J. E. Kilpatrick (1972) Am. J. Phys. 40 503

    Google Scholar 

  17. J. J. Laar Particlevan (1899) Amsterdam Akad. Versl. 7 350

    Google Scholar 

  18. B. R. A. Nijboer L. Hove Particlevan (1952) Phys. Rev. 85 IssueID5 777 Occurrence Handle10.1103/PhysRev.85.777 Occurrence Handle1:CAS:528:DyaG38XjsVOhtw%3D%3D

    Article  CAS  Google Scholar 

  19. F. H. Ree W. G. Hoover (1964) J. Chem. Phys. 40 2048

    Google Scholar 

  20. J. Boer Particlede (1949) Phys. Soc.(London) 12 305

    Google Scholar 

  21. C. G. Joslin (1982) J. Chem. Phys. 77 2701 Occurrence Handle10.1063/1.444104 Occurrence Handle1:CAS:528:DyaL38XlsFWjtr0%3D

    Article  CAS  Google Scholar 

  22. W Magnus F Oberhettinger (1949) Formulas and Theorems for the Functions of Mathematical Physics Chelsea Publishing Company New York 37

    Google Scholar 

  23. F. H. Ree W. G. Hoover (1964) J. Chem. Phys. 41 1635 Occurrence Handle10.1063/1.1726136

    Article  Google Scholar 

  24. S Kim D Henderson (1968) Phys. Lett. 27A IssueID6 378

    Google Scholar 

  25. G. S. Rushbrooke P Hutchinson (1961) Physica 27 647 Occurrence Handle10.1016/0031-8914(61)90009-X

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instute for Theoretical Physics, State Universy of New York, Stony Brook, NY, 11794-3840

    I. Lyberg

Authors
  1. I. Lyberg
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. Lyberg.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lyberg, I. The Fourth Virial Coefficient of a Fluid of Hard Spheres in Odd Dimensions. J Stat Phys 119, 747–764 (2005). https://doi.org/10.1007/s10955-005-3020-6

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10955-005-3020-6

Keywords

Search

Navigation