Advertisement

Communications in Mathematical Physics

, Volume 35, Issue 4, pp 297–305 | Cite as

A family of equilibrium states relevant to low temperature behavior of spin 1/2 classical ferromagnets. Breaking of translation symmetry

  • J. Slawny
Article

Abstract

An analysis of a family of equilibrium states is performed which, combined with our previous work, allows to describe all translation invariant equilibrium states of spin 1/2 classical ferromagnetic systems with finite range interactions at low temperatures. A model is described with continuously many equilibrium states for low temperatures.

Keywords

Neural Network Statistical Physic Equilibrium State Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Dobrushin, R.L.: Funct. Anal. Appl.2, 44–57 (1968)Google Scholar
  2. 2.
    Ginibre, J.: In: Kastler, D. (Ed.): Cargèse lectures, 1969. New York: Gordon and Breach 1970Google Scholar
  3. 3.
    Griffiths, R.B.: In: De Witt, C., Stora, R. (Eds.): Les Houches Lectures, 1970. New York: Gordon and Breach 1971Google Scholar
  4. 4.
    Lanford, O.E., Ruelle, D.: Commun. math. Phys.13, 194–215 (1969)Google Scholar
  5. 5.
    Merlini, D., Gruber, C.: J. Math. Phys.13, 1814–1823 (1972)Google Scholar
  6. 6.
    Ruelle, D.: Ann. Phys. (N.Y.)69, 364–374 (1972)Google Scholar
  7. 7.
    Slawny, J.: Commun. math. Phys.34, 271–296 (1973)Google Scholar
  8. 8.
    Lebowitz, J.L., Martin-Löf, A.: Commun. math. Phys.25, 276–282 (1972)Google Scholar
  9. 9.
    Martin-Löf, A.: Commun. math. Phys.24, 253–259 (1972)Google Scholar

Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • J. Slawny
    • 1
    • 2
    • 3
  1. 1.Centre de Physique ThéoriqueC.N.R.S.Marseille
  2. 2.Centre de Physique ThéoriqueEcole PolytechniqueParisFrance
  3. 3.Department of Physics Joseph Henry LaboratoriesPrinceton UniversityPrincetonUSA

Personalised recommendations