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New results for virial coefficients of hard spheres inD dimensions

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Abstract

We present new results for the virial coefficientsB k for κ<- 10 for hard spheres in dimensionsD = 2,..., 8.

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References

  1. J D van der Waals,Proc. Kon. Acad. V. Wetensch, Amsterdam,1, 138 (1899)

    Google Scholar 

  2. L Boltzmann,Proc. Sect. Sci. K. Akad. Wet. (Amsterdam), 1899

  3. J J van Laar,Proc. Kon. Acad. V. Wetensch, Amsterdam,1, 273 (1899)

    Google Scholar 

  4. J S Rowlinson,Mol Phys. 7, 593–594 (1964)

    Article  ADS  Google Scholar 

  5. P C Hemmer,J. Chem. Phys. 42, 1116–1118 (1964)

    Article  Google Scholar 

  6. N Clisby and B M McCoy,J. Stat. Phys. 114, 1343–1361 (2004)

    Article  MATH  Google Scholar 

  7. I Lyberg,The fourth virial coefficient of a fluid of hard spheres in odd dimensions, cond-mat/0410080 (2004)

  8. N Metropolis, A W Rosenbluth, M N Rosenbluth and A H Teller,J. Chem. Phys. 21, 1087–1092(1953)

    Article  ADS  Google Scholar 

  9. M N Rosenbluth and A W Rosenbluth,J. Chem. Phys. 22, 881–884 (1954)

    Article  ADS  Google Scholar 

  10. F H Ree and W G Hoover,J. Chem. Phys. 40, 939–950 (1964)

    Article  Google Scholar 

  11. F H Ree and W G Hoover,J. Chem. Phys. 41, 1635–1645 (1964)

    Article  Google Scholar 

  12. F H Ree and W G Hoover,J. Chem. Phys. 46, 4181–4196 (1967)

    Article  Google Scholar 

  13. E J Janse van Rensburg,J. Phys. A26, 4805–4818 (1993)

    ADS  Google Scholar 

  14. F H Ree and W G Hoover,J. Chem. Phys. 40, 2048–2049 (1964)

    Article  Google Scholar 

  15. M Bishop, A Masters and J H R Clarke,J. Chem. Phys. 110, 11449–11453 (1999)

    Article  ADS  Google Scholar 

  16. M Bishop, A Masters and A Y Vlasov,J. Chem. Phys. 121, 6884–6886 (2004)

    Article  ADS  Google Scholar 

  17. N Clisby and B M McCoy,J. Stat. Phys. 114, 1361–1392 (2004)

    Article  MATH  Google Scholar 

  18. N Clisby,Negative virial coefficients for hard spheres, Ph.D. thesis (Stony Brook University, Stony Brook, New York, 2004)

    Google Scholar 

  19. N Clisby and B M McCoy,Ninth and tenth order virial coefficients for hard spheres in D dimensions, cond-mat/0503525,J. Stat. Phys. (submitted)

  20. K W Kratky,J. Stat. Phys. 27, 533–551 (1982)

    Article  Google Scholar 

  21. D S Gaunt and G S Joyce,J. Phys. A13, L211-L216 (1980)

    ADS  Google Scholar 

  22. A J Guttmann, Asymptotic analysis of power-series expansions, inPhase transitions and critical phenomena edited by C Domb and J Lebowitz (Academic Press, 1989) vol. 13, ch. 1, pp. 1–234

Download references

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Authors and Affiliations

  1. ARC Centre of Excellence for Mathematics and Statistics of Complex Systems, The University of Melbourne, 139 Barry Street, 3010, Victoria, Australia

    Nathan Clisby

  2. C.N. Yang Institute for Theoretical Physics, Stony Brook University, NY 11794-3840, Stony Brook, USA

    Barry M. McCoy

Authors
  1. Nathan Clisby
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  2. Barry M. McCoy
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Clisby, N., McCoy, B.M. New results for virial coefficients of hard spheres inD dimensions. Pramana - J Phys 64, 775–783 (2005). https://doi.org/10.1007/BF02704582

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