Skip to main content
SpringerLink
Log in

Further Monte Carlo calculations for the classical one-component plasma in the range 100 ⩽ Γ ⩽ 160: The FCC lattice

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

Abstract

Very accurate Monte Carlo calculations for the one-component plasma (OCP) have been compared with the results of Slattery, Doolen, and DeWitt.(1,2) We confirm their results and also find a slight dependence of the calculation of the internal energy per particle uponN, the number of particles. A detailed investigation forN=108 permits us to evaluate the Helmholtz free energy for an OCP fcc lattice. As is usually believed, we find that the bcc lattice is more stable than the fcc lattice. The transition from the liquid to the fcc lattice phase occurs whenΓ fcc = 196 ± 1. A three-dimensional modified cubic procedure, capable of achieving high accuracy in using tables of two-particle interaction potentials, is described in Appendix B.

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. W. L. Slattery, G. D. Doolen, and H. E. DeWitt,Phys. Rev. A21:2087 (1980).

    Google Scholar 

  2. W. L. Slattery, G. D. Doolen, and H. E. DeWitt,Phys. Rev. A26:2255 (1982).

    Google Scholar 

  3. S. G. Brush, H. L. Sahlin, and E. Teller,J. Chem. Phys. 45:2102 (1966).

    Google Scholar 

  4. J. P. Hansen,Phys. Rev. A8:3096 (1973).

    Google Scholar 

  5. M. Baus and J. P. Hansen,J. Stat. Phys. 31:409 (1983).

    Google Scholar 

  6. W. B. Hubbard and W. L. Slattery,Astrophys. J. 168:131 (1971).

    Google Scholar 

  7. N. March and A. Murray,Phys. Rev. A 120:830 (1961);Proc. R. Soc. London Ser. A261:119 (1961).

    Google Scholar 

  8. E. L. Pollack and J. P. Hansen,Phys. Rev. A8:3110 (1973).

    Google Scholar 

  9. W. J. Carr, Jr.,Phys. Rev. 122:1437 (1961).

    Google Scholar 

  10. M. H. Cohen and F. Keffer,Phys. Rev. 99:1128 (1955).

    Google Scholar 

  11. A. D. J. Haymet,Phys. Rev. Lett. 52:1013 (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy and C. E. Kenneth Mees Observatory, University of Rochester, 14627, Rochester, New York

    H. Lawrence Helfer & Hugh M. Van Horn

  2. Laboratory for Laser Energetics, University of Rochester, 250 East River Road, 14623, Rochester, New York

    H. Lawrence Helfer, Robert L. McCrory & Hugh M. Van Horn

Authors
  1. H. Lawrence Helfer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Robert L. McCrory
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hugh M. Van Horn
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Helfer, H.L., McCrory, R.L. & Van Horn, H.M. Further Monte Carlo calculations for the classical one-component plasma in the range 100 ⩽ Γ ⩽ 160: The FCC lattice. J Stat Phys 37, 577–588 (1984). https://doi.org/10.1007/BF01010496

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01010496

Key words

Search

Navigation