Ising and Related Models

  • Gérard G. Emch
  • Chuang Liu


The model was invented with the purpose of deriving ferromagnetism solely from the tenets of statistical mechanics. The first attempt was to consider a one-dimensional version of the model; we review this in the present section to try and learn how and why it was unsuccessful. Successful, higher dimensional versions of the model are studied in the next two sections; some related models are also mentioned in Sect. 12.3. The Ising model for ferromagnetism satisfies the following four defining conditions:


Zinc Entropy Sponge Bors Kelly 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Gérard G. Emch
    • 1
  • Chuang Liu
    • 2
  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA
  2. 2.Department of PhilosophyUniversity of FloridaGainesvilleUSA

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