Skip to main content
Log in

Is the percolation transition of hard spheres a thermodynamic phase transition?

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

Abstract

In hard-sphere systems, there is a fluid-solid transition, but no gas-liquid transition. In the fluid region, however, one can find a purely geometric percolation transition, which is studied in detail. The van der Waals model of hard spheres is treated. In this model, a uniform negative background potential is added. This modification does not change the structure, but induces a gas-liquid transition. In fact, percolation and the gas-liquid transition can be related to each other.

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. J. P. Hansen and I. R. McDonald,Theory of Simple Liquids (Academic Press, 1986).

  2. R. J. Speedy,J. Chem. Soc. Faraday Trans. II 77:329 (1981).

    Google Scholar 

  3. K. W. Kratky and H. Drexler,J. Stat. Phys. 29:449 (1982).

    Google Scholar 

  4. U. Landman, ed.,Statistical Mechanics and Statistical Methods in Theory and Application (Plenum Press, New York, 1977).

    Google Scholar 

  5. H. Reiss, H. L. Frisch, and J. L. Lebowitz,J. Chem. Phys. 31:369 (1959).

    Google Scholar 

  6. H. Reiss and A. D. Hammerich,J. Phys. Chem. 90:6252 (1986).

    Google Scholar 

  7. D. Stauffer,Introduction to Percolation Theory (Taylor and Francis, 1985).

  8. T. DeSimone, S. Demoulini, and R. M. Stratt,J. Chem. Phys. 85:391 (1986).

    Google Scholar 

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

    Google Scholar 

  10. G. E. Pike and C. H. Seager,Phys. Rev. B 10:1421 (1974).

    Google Scholar 

  11. A. L. R. Bug, S. A. Safran, G. S. Grest, and I. Webman,Phys. Rev. Lett. 55:1896 (1985).

    Google Scholar 

  12. E. T. Gawlinski and S. Redner,J. Phys. A 16:1063 (1983).

    Google Scholar 

  13. L. V. Woodcock,Lecture Notes Phys. 277:113 (1987).

    Google Scholar 

  14. H. C. Longuet-Higgins and B. Widom,Mol. Phys. 8:549 (1964).

    Google Scholar 

  15. K. W. Kratky,J. Chem. Phys. 69:2251 (1978).

    Google Scholar 

  16. K. W. Kratky,J. Stat. Phys. 29:129 (1982).

    Google Scholar 

  17. K. W. Kratky,Physica 87A:584 (1977).

    Google Scholar 

  18. N. F. Carnahan and K. E. Starling,J. Chem. Phys. 51:635 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kratky, K.W. Is the percolation transition of hard spheres a thermodynamic phase transition?. J Stat Phys 52, 1413–1421 (1988). https://doi.org/10.1007/BF01011656

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01011656

Key words

Navigation