Skip to main content
Log in

Chain version of the constant coupling theory with application to classical Heisenberg model

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The version of the constant coupling theory, based on exact solutions of some onedimensional systems is proposed. The theory is applied to classical Heisenberg model. The expressions for the order parameters, internal energy, free energy, entropy and critical temperature are given. A good agreement of the presented results with predictions of high temperature series expansion is obtained.

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. Strieb, B., Callen, M.B., Horwitz, G.: Phys. Rev.130, 1798 (1963)

    Google Scholar 

  2. Smart, J.S.: (1966) Effective field theories of magnetism, Chap. 5. Philadelphia: Saunders

    Google Scholar 

  3. Sheng, P., Wojtowicz, P.J.: Phys. Rev. A14, 1883 (1976)

    Google Scholar 

  4. Kac, M., Uhlenbeck, G.E., Hemmer, P.C.: J. Math. Phys.4, 216 (1963)

    Google Scholar 

  5. Sokalski, K.: Phys. Status Solidi (b)92, K15 (1979)

    Google Scholar 

  6. Mandell, M.: J. Chem. Phys.59, 3255 (1973)

    Google Scholar 

  7. Fuliński, A., Longa, L.: J. Stat. Phys.21, 635 (1979)

    Google Scholar 

  8. Longa, L.: Acta Phys. Polon. A5, 57 (1980)

    Google Scholar 

  9. Rushbrooke, G.A., Barker, G.A., Wood, P.J.: In: Phase transitions and critical phenomena, Domb, C., Green, M.S. (eds.). Vol. 3, p. 247–350 1974

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Longa, L. Chain version of the constant coupling theory with application to classical Heisenberg model. Z. Physik B - Condensed Matter 47, 59–62 (1982). https://doi.org/10.1007/BF01686184

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01686184

Keywords

Navigation