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Communications in Mathematical Physics

, Volume 30, Issue 1, pp 45–54 | Cite as

On the Onsager-Yang-Value of the spontaneous magnetization

  • G. Benettin
  • G. Gallavotti
  • G. Jona-Lasinio
  • A. L. Stella
Article

Abstract

We show that the value of the spontaneous magnetization for the two-dimensional Ising model computed by Onsager is indeed, the appropriate derivative of the free energy with respect to the magnetic field. The argument is based on a simple application of the duality transformation.

Keywords

Magnetic Field Neural Network Free Energy Statistical Physic Complex System 
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 1973

Authors and Affiliations

  • G. Benettin
    • 1
  • G. Gallavotti
    • 1
  • G. Jona-Lasinio
    • 1
  • A. L. Stella
    • 1
  1. 1.Istituto di Fisica dell'UniversitàPadovaItaly

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