Skip to main content

Some problems connected with the description of coexisting phases at low temperatures in the Ising model

  • Conference paper
  • First Online:
Statistical Mechanics and Mathematical Problems

Part of the book series: Lecture Notes in Physics ((LNP,volume 20))

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abraham, D., Gallavotti, G., Martin-Löf, A., Lettere Nuovo Cimento 2, 143 (1971).

    Article  Google Scholar 

  2. Abraham, D., Gallavotti, G., Martin-Löf, A., “Surface Tension in the Two. Dimensional Ising Model.” Preprint (1971).

    Google Scholar 

  3. Dobrushin, R. L., Funct. Anal. Appl. 2, 292 (1968).

    Article  MATH  Google Scholar 

  4. Dobrushin, R. L., Funct. Anal. Appl. 2, 302 (1968).

    Article  MATH  Google Scholar 

  5. Gallavotti, G., Martin-Löf, A., Comm. Math. Phys. 25, 87 (1972).

    Article  ADS  MathSciNet  Google Scholar 

  6. Gallavotti, G., Miracle-Solé, S., Comm. Math. Phys. 7, 274 (1968). The paper however contains a combinatorial error in the last section; the error has been copied in [5] but it is corrected in section 4 of the present paper. See also Shen, C. Y., J. Math. Phys. 13, 754 (1972) or, for an alternative correction, Gallavotti, G., Comm. Math. Phys. 27, 103 (1972).

    Article  ADS  MathSciNet  Google Scholar 

  7. Gallavotti, G., Miracle-Solé, S., Phys. Rev. 5B, 2555 (1972).

    ADS  Google Scholar 

  8. Lanford, O., Ruelle, D., Comm. Math. Phys. 13, 194 (1969).

    Article  ADS  MathSciNet  Google Scholar 

  9. Lebowitz, J. L., Martin-Löf, S., Comm. Math. Phys. 25, 276 (1972).

    Article  ADS  MathSciNet  Google Scholar 

  10. Minlos, R. A., Sinai, Ja., I. Math. U.S.S.R. — Sbornik 2, 355 (1967), II. Trans. Moscow Math. Soc. 19, 121 (1968).

    MathSciNet  Google Scholar 

  11. Ruelle, D., Statistical Mechanics. Benjamin, N.Y., (1969).

    Google Scholar 

  12. Ruelle, D., Ann. Phys. 69, 364 (1972).

    Article  ADS  Google Scholar 

  13. Temperley, H. N. V., Phys. Rev. 103, 1 (1956).

    Article  MATH  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

A. Lenard

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag

About this paper

Cite this paper

Gallavotti, G., Martin-Löf, A., Miracle-Solé, S. (1973). Some problems connected with the description of coexisting phases at low temperatures in the Ising model. In: Lenard, A. (eds) Statistical Mechanics and Mathematical Problems. Lecture Notes in Physics, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0112759

Download citation

  • DOI: https://doi.org/10.1007/BFb0112759

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06194-6

  • Online ISBN: 978-3-540-38468-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics