Onsager and Kaufman's calculation of the spontaneous magnetization of the Ising model: II
R.J. Baxter
TL;DR
This paper reviews Onsager and Kaufman's original calculations of the spontaneous magnetization in the square-lattice Ising model, clarifying historical details and confirming their two derivations of the result.
Contribution
It uncovers and clarifies the original derivations by Onsager and Kaufman, providing historical and mathematical insights into the calculation of spontaneous magnetization.
Findings
Confirmed Onsager and Kaufman's two derivations
Clarified historical development of the calculation
Identified original papers related to the problem
Abstract
In 2011 I reviewed the calculation by Onsager and Kaufman of the spontaneous magnetization of the square-lattice Ising model, which Onsager announced in 1949 but never published. I have recently been alerted to further original papers that bear on the subject. It is quite clear that the draft paper on which I relied was indeed written by Onsager, who was working on the problem with Kaufman, and that they had two derivations of the result.
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