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Onsager and Kaufman's Calculation of the Spontaneous Magnetization of the Ising Model

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Baxter, Rodney

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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.

dc.contributor.authorBaxter, Rodney
dc.date.accessioned2015-12-10T23:33:05Z
dc.identifier.issn0022-4715
dc.identifier.urihttp://hdl.handle.net/1885/69134
dc.description.abstractIn 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.
dc.publisherKluwer Academic Publishers
dc.sourceJournal of Statistical Physics
dc.subjectKeywords: Ising model; Spontaneous magnetization; Statistical mechanics; Toeplitz matrices
dc.titleOnsager and Kaufman's Calculation of the Spontaneous Magnetization of the Ising Model
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume149
dc.date.issued2012
local.identifier.absfor010506 - Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter
local.identifier.ariespublicationf2965xPUB1930
local.type.statusPublished Version
local.contributor.affiliationBaxter, Rodney, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue6
local.bibliographicCitation.startpage518
local.bibliographicCitation.lastpage548
local.identifier.doi10.1007/s10955-012-0658-8
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2016-02-24T08:20:05Z
local.identifier.scopusID2-s2.0-84871280569
local.identifier.thomsonID000312585600009
CollectionsANU Research Publications

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