Skip to main content
Log in

On two correlation inequalities for Potts models

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

Abstract

The Fortuin-Kasteleyn random cluster representation ofq-state Potts models is used to extend to everyq two correlation inequalities proven previously only for even values ofq.

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. De Coninck, A. Messager, S. Miracle-Sle, and J. Ruiz,J. Stat. Phys., this issue.

  2. M. Aizenman, J. T. Chayes, L. Chayes, and C. M. Newman,J. Stat. Phys. 50:1 (1988).

    Google Scholar 

  3. R. Edwards and A. Sokal, Generalization of the Fourtuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithms, Preprint (1987).

  4. C. M. Fortuin and P. W. Kasteleyn,Physica 57:536 (1972).

    Google Scholar 

  5. P. W. Kasteleyn and C. M. Fortuin,J. Phys. Soc. Japan 26(Suppl.):11 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schonmann, R.H. On two correlation inequalities for Potts models. J Stat Phys 52, 61–67 (1988). https://doi.org/10.1007/BF01016404

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01016404

Key words

Navigation