Skip to main content
Log in

Renormalized theory of the time-dependent pair distribution function. I. General formulation

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

Abstract

A classical renormalized theory of a time-dependent pair-distribution function (TDPDF), previously introduced by Oppenheim and Bloom, is presented. An equation of motion for the TDPDF is derived in which the memory function of the system appears. This is then split into a part which contains only static correlation functions and a part which describes the dynamics. The mean field approximation is discussed in some detail and contact is made witn the theory of Oppenheim and Bloom.

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. I. Oppenheim and M. Bloom,Can. J. Phys. 39:845 (1961).

    Google Scholar 

  2. J. T. Hynes and J. M. Deutch,J. Chem. Phys. 53:4705 (1970).

    Google Scholar 

  3. M. Bloom and I. Oppenheim,Adv. Chem. Phys. 12:549 (1967).

    Google Scholar 

  4. M. S. Miller, D. A. McQuarrie, G. Birnbaum, and J. D. Poll,J. Chem. Phys. 57:618 (1972).

    Google Scholar 

  5. C. D. Boley,Ann. Phys. (N. Y.) 86:91 (1974).

    Google Scholar 

  6. G. E. Uhlenbeck and G. W. Ford,Lectures in Statistical Mechanics, Am. Math. Soc., Providence, Rhode Island (1963).

    Google Scholar 

  7. G. F. Mazenko,Phys. Rev. A 9:360 (1974).

    Google Scholar 

  8. G. F. Mazenko,Phys. Rev. A 7:209 (1973).

    Google Scholar 

  9. R. Zwanzig,Phys. Rev. 144:170 (1966).

    Google Scholar 

  10. M. Nelkin and S. Ranganathan,Phys. Rev. 164:222 (1967).

    Google Scholar 

  11. G. F. Mazenko,Phys. Rev. A 5:2545 (1972).

    Google Scholar 

  12. T. L. Hill,Statistical Mechanics, McGraw-Hill, New York (1956).

    Google Scholar 

  13. J. E. Mayer and M. G. Mayer,Statistical Mechanics, Wiley, New York (1940).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work supported in part by a National Research Council of Canada operating grant.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tenti, G., McCourt, F.R. Renormalized theory of the time-dependent pair distribution function. I. General formulation. J Stat Phys 15, 59–71 (1976). https://doi.org/10.1007/BF01012809

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01012809

Key words

Navigation