Skip to main content
SpringerLink
Log in

On the connection between Zwanzig's classical projection operator formalism and coarse-graining

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

Abstract

It is pointed out that the following two procedures are identical: (i) applying Zwanzig's projection operator to the distribution function; (ii) coarsegraining the distribution function with cells which are defined by means of the macroscopic variables and their inaccuracies, and going to the limit of vanishing inaccuracies.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. Zwanzig,J. Chem. Phys. 33:1338 (1960).

    Google Scholar 

  2. R. Zwanzig,Phys. Rev. 124:983 (1961).

    Google Scholar 

  3. S. Nordholm and R. Zwanzig,J. Stat. Phys. 13:347 (1975).

    Google Scholar 

  4. P. Hoyningen-Huene,Helv. Phys. Acta 48:39 (1975);Physica 82A:417 (1976).

    Google Scholar 

  5. N. G. van Kampen,Forts. Phys. 4:405 (1956).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Zürich, Zürich, Switzerland

    Paul Hoyningen-Huene

Authors
  1. Paul Hoyningen-Huene
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hoyningen-Huene, P. On the connection between Zwanzig's classical projection operator formalism and coarse-graining. J Stat Phys 15, 517–518 (1976). https://doi.org/10.1007/BF01020805

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01020805

Key words

Search

Navigation