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Communications in Mathematical Physics

, Volume 84, Issue 1, pp 87–101 | Cite as

The phase transition in the one-dimensional Ising Model with 1/r2 interaction energy

  • Jürg Fröhlich
  • Thomas Spencer
Article

Abstract

We prove the existence of a spontaneous magnetization at low temperature for the one-dimensional Ising Model with 1/r2 interaction energy.

Keywords

Neural Network Phase Transition Statistical Physic 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.

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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Jürg Fröhlich
    • 1
  • Thomas Spencer
    • 2
  1. 1.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance
  2. 2.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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