Skip to main content
Log in

Equilibrium states of an Ising ferromagnet in the low temperature region

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

We investigate low temperature properties of an Ising ferromagnet when the nearest neighbour coupling constant is dominant. We show that all the translationally invariant equilibrium states are a superposition of only two extremal states.

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. Ginibre, J., Grossmann, A., Ruelle, D.: Commun. math. Phys.,3, 187 (1967).

    Google Scholar 

  2. Dobrushin, R. L.: Teor. Verojatnost. Primenen.9, 626 (1964). — Griffiths, R.: Phys. Rev.136, A437 (1964).

    Google Scholar 

  3. Gallavotti, G.: Miracle Solé S. Phys. Rev.5, B 2555 (1972).

    Google Scholar 

  4. Lanford, D., Ruelle, D.: Commun. math. Phys.13, 194 (1969).

    Google Scholar 

  5. Gallavotti, G., Martin-Lof, A.: Commun. math. Phys.25, 87 (1972).

    Google Scholar 

  6. Fortuin, C. M.: Kasteleyn, P. W., Ginibre, J.: Commun. math. Phys.22, 89 (1971).

    Google Scholar 

  7. Minlos, R. A., Sinai, Ja G.: Trans. Moscow Math. Soc.17, 237 (1967).

    Google Scholar 

  8. Ruelle, D.: Statistical Mechanics Chapter IV, New York: W. A. Benjamin 1969.

    Google Scholar 

  9. Ruelle, D.: Phys. Rev. Letters27, 1040 (1971).

    Google Scholar 

  10. Dobrushin, R. L.: Proc. Fifth Berkeley Sympos. on Mathematical Statistics and Probability, 1965, Berkeley: Univ. of California Press., 1967.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Capocaccia, D., Cassandro, M. & Ciccotti, G. Equilibrium states of an Ising ferromagnet in the low temperature region. Commun.Math. Phys. 29, 31–42 (1973). https://doi.org/10.1007/BF01661149

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01661149

Keywords

Navigation