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:


Partition Function Critical Temperature Ising Model Transfer Matrix Thermodynamical Limit 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations