Skip to main content

Low temperature continuous spin Gibbs States on a lattice and the interfaces between them — a Pirogov Sinai type approach

  • Conference paper
  • First Online:
  • 212 Accesses

Part of the book series: Lecture Notes in Physics ((LNP,volume 257))

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dobrushin R.L., Zahradnik M., Phase diagrams for continuous spin systems; to appear in “Math. Problems of Stat. Phys. and Dyn., ed. by R.L. Dobrushin, D. Reidel (1985)

    Google Scholar 

  2. Holický P., Kotecký R., Zahradnik M., Rigid interfaces for continuous spin systems; to appear

    Google Scholar 

  3. Zahradnik M., Rigid interfaces; Seminar in Crit. Phenomena, Random Systems, Gauge Theories, Les Houches Summer School 84, ed. by K. Osterwalder and R. Stora, North Holland, to appear (1986)

    Google Scholar 

  4. Sinai Ya.G., Theory of Phase Transitions; New York, Pergamen Press 1982

    Google Scholar 

  5. Zahradnik M., An Alternate Version of P.S. Theory; Comm. Math. Phys. 93,559–581 (1984)

    Google Scholar 

  6. Dobrushin R.L., Gibbsian state which describes coexistence of phases for a three dimensional Ising model; Theor. Prob. and Appl. 17,612–639 (1972) in Russian

    Google Scholar 

  7. Imbrie J.Z., Phase Diagrams and Cluster expansions for Low Temperature P(4)2 Models; Comm. Math. Phys. 82,261–304 and 305-343 (1981)

    Google Scholar 

  8. Malyshev V.A., Cluster expansions in lattice models of statistical physics and the quantum theory of fields; Uspechi Mat, Nauk 35,212 (1980) (in Russian. English translation in Russ.Math. Surv. 35, 1–62 (1980))

    Google Scholar 

  9. Minlos R.A., Sinai Ya. G. “Phase separation” phenomenon at low temperatures, in some lattice models of a gas, I, Matem. Sbornik, 72, No 3, 1967, 1967, 375–448; II Trudy Mosk. Matem. Obsch. 19,1968, 113–178 in Russian

    Google Scholar 

  10. Fröhlich J., Disordered Systems; Lectures in Crit. Phenomena, Random Systems, Gauge Theories, Les Houches Summer School 84, ed. by K. Osterwalder and R. Stora, North Holland, to appear (1986)

    Google Scholar 

  11. Pfister C.E., in Scaling and Self-similarity in Physics, ed. by J. Fröhlich, Birkhauser 1983

    Google Scholar 

  12. Dinaburg E.I. Sinai Ya. G., An analysis of ANNI model by Peierlś contour method;Comm. Math. Phys. 98,119–144 (1985)

    Google Scholar 

  13. See C [1], [4], [11] for a more complete list of references

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

T. C. Dorlas N. M. Hugenholtz M. Winnink

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Zahradník, M. (1986). Low temperature continuous spin Gibbs States on a lattice and the interfaces between them — a Pirogov Sinai type approach. In: Dorlas, T.C., Hugenholtz, N.M., Winnink, M. (eds) Statistical Mechanics and Field Theory: Mathematical Aspects. Lecture Notes in Physics, vol 257. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16777-3_71

Download citation

  • DOI: https://doi.org/10.1007/3-540-16777-3_71

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16777-8

  • Online ISBN: 978-3-540-39858-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics