Skip to main content
Log in

Oscillation of the radial distribution function

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

Abstract

We prove that the radial distribution function oscillates at low density in a system with a short-range nonnegative potential and investigate the branching of the solutions of an approximate equation of state.

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. N. S. Gonchar,Phys. Lett. A 102:285 (1984).

    Google Scholar 

  2. N. S. Gonchar,Theor. Mat. Fiz. 64:450 (1985).

    Google Scholar 

  3. N. S. Gonchar,Dokl. Akad. Nauk SSSR 285:594 (1985).

    Google Scholar 

  4. N. S. Gonchar,Phys. Rep. 172:175 (1989).

    Google Scholar 

  5. N. N. Bogolubov and B. I. Khatzet,Dokl. Akad. Nauk SSSR,66:321 (1949).

    Google Scholar 

  6. N. N. Bogolubov, D. Ya. Petrina, and B. I. Khatzet,Theor. Mat. Fiz. 1:251 (1969).

    Google Scholar 

  7. D. Ruelle,Ann. Phys. 25:109 (1963).

    Google Scholar 

  8. E. H. Lieb,J. Math. Phys. 4:671 (1963).

    Google Scholar 

  9. N. S. Gonchar and A. B. Rudyk,Phys. Lett. A 124:392 (1987).

    Google Scholar 

  10. N. S. Gonchar and A. B. Rudyk,Phys. Lett. A 124:399 (1987).

    Google Scholar 

  11. M. G. Crein and M. A. Routhman,Usp. Mat. Nauk SSSR 3:3 (1948).

    Google Scholar 

  12. S. M. Nikolsky,Izv. Akad. Nauk SSSR Ser. Mat. 7:147 (1943).

    Google Scholar 

  13. N. S. Gonchar and A. B. Rudyk, Equation of state approximated for systems of classical statistical mechanics with pair repulsive potential, Preprint ITP-89-14P, Kiev (1989) [in Russian].

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gonchar, N.S., Rudyk, A.B. Oscillation of the radial distribution function. J Stat Phys 68, 1065–1087 (1992). https://doi.org/10.1007/BF01048885

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01048885

Key words

Navigation