Skip to main content
Log in

Intersecting disks (and spheres) and statistical mechanics. II. the hard-disk system

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

Abstract

A system of hard disks (diameter σ) is studied by considering the corresponding exclusion disks (radius σ). Thus, the results of previous papers on overlapping disks can be used for a geometrical analysis of the system. The concept of “fluctuating free volume” is compared with free volume theory. Finally, a series of computer experiments on hard disks is analyzed geometrically, especially with respect to the fluid-solid transition.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. W. Kratky,J. Phys. A 11:1017 (1978).

    Google Scholar 

  2. K. W. Kratky,J. Stat. Phys. 25:619 (1981).

    Google Scholar 

  3. R. J. Speedy,J. Chem. Soc. Faraday Trans. II 76:693 (1980).

    Google Scholar 

  4. B. Widom,J. Chem. Phys. 54:3950 (1971).

    Google Scholar 

  5. H. Reiss,Adv. Chem. Phys. 9:1 (1965).

    Google Scholar 

  6. W. G. Hoover, N. E. Hoover, and K. Hanson,J. Chem. Phys. 70:1837 (1979).

    Google Scholar 

  7. J. A. Zollweg,J. Chem. Phys. 72:6712 (1980).

    Google Scholar 

  8. W. G. Hoover and F. H. Ree,J. Chem. Phys. 49:3609 (1968).

    Google Scholar 

  9. R. D. Larsen,J. Chem. Phys. 61: 1591 (1974).

    Google Scholar 

  10. R. J. Buehler, R. H. Wentorf, Jr., J. O. Hirschfelder, and C. F. Curtiss,J. Chem. Phys. 19:61 (1951).

    Google Scholar 

  11. H. Drexler, thesis, Vienna 1981.

  12. W. W. Wood, LACL Report LA-2827 (1963).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kratky, K.W., Drexler, H. Intersecting disks (and spheres) and statistical mechanics. II. the hard-disk system. J Stat Phys 29, 499–513 (1982). https://doi.org/10.1007/BF01342184

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01342184

Key words

Navigation