Journal of Statistical Physics

, Volume 42, Issue 3–4, pp 509–521 | Cite as

The pressure of a hard sphere fluid on a curved surface

  • M. F. Wehner
  • W. G. Wolfer
Articles

Abstract

Utilizing the integral equation approach to the hard sphere fluid system developed in the preceding paper, the hard sphere-hard wall interaction is studied. For the case of a flat wall, perturbation solutions of the integral equation valid to second and third order in the packing fraction,y, are derived. For a surface of arbitrary curvature, an equation of state valid to second order in the packing fraction is also derived. When applied to very small cavities, it is found that the pressure at high densities is significantly higher than it would be for a flat wall.

Key words

Hard sphere fluid wall-atom distribution function wall contact values equation of state 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M. F. Wehner and W. G. Wolfer,J. Stat. Phys. 42:493 (1986).Google Scholar
  2. 2.
    S. Shinomoto,Phys. Lett. 89A:19 (1982).Google Scholar
  3. 3.
    I. K. Snook and D. Henderson,J. Chem. Phys. 68:2134 (1978).Google Scholar
  4. 4.
    D. Henderson, F. F. Abraham, and J. A. Barker,Mol. Phys. 31:1291 (1976).Google Scholar
  5. 5.
    A. C. Hearn, “REDUCE2 User's Manual,” 2nd ed., University of Utah, UCP-19, March 1973.Google Scholar
  6. 6.
    F. H. Ree and W. G. Hoover,J. Chem. Phys. 40:939 (1964).Google Scholar
  7. 7.
    N. F. Carnahan and K. E. Starling,J. Chem. Phys. 51:635 (1969).Google Scholar
  8. 8.
    J. L. Lebowitz,Phys. Rev. 133:A895 (1964); and J. L. Lebowitz, E. Helfand, and E. Praestgaard,J. Chem. Phys. 43:774 (1965).Google Scholar
  9. 9.
    H. Reiss,Adv. Chem. Phys. 9:1 (1967).Google Scholar
  10. 10.
    W. G. Wolfer and F. A. Garner,Radiation Effects 78:801 (1983).Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • M. F. Wehner
    • 1
  • W. G. Wolfer
    • 1
  1. 1.Fusion Technology InstituteUniversity of Wisconsin-MadisonMadison
  2. 2.Lawrence Livermore National LaboratoryLivermore

Personalised recommendations