Abstract
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:
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Why am I lost
Down the endless road to infinity toss’d?
[Walton and Sitwell, 1951]
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© 2002 Springer-Verlag Berlin Heidelberg
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Emch, G.G., Liu, C. (2002). Ising and Related Models. In: The Logic of Thermostatistical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04886-3_12
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DOI: https://doi.org/10.1007/978-3-662-04886-3_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07462-2
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