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The discontinuity of the specific heat for the 5D Ising model
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2015 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 895, 305-318 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we investigate the behaviour of the specific heat around the critical point of the Ising model in dimension 5 to 7. We find a specific heat discontinuity, like that for the mean field Ising model, and provide estimates for the left and right hand limits of the specific heat at the critical point. We also estimate the singular exponents, describing how the specific heat approaches those limits. Additionally, we make a smaller scale investigation Of the same properties in dimension 6 and 7, and provide strongly improved estimates for the critical temperature K-c in d = 5, 6, 7 which bring the best MC-estimate closer to those obtained by long high temperature series expansions.

Place, publisher, year, edition, pages
2015. Vol. 895, 305-318 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-106125DOI: 10.1016/j.nuclphysb.2015.04.013ISI: 000355032900013OAI: oai:DiVA.org:umu-106125DiVA: diva2:841786
Available from: 2015-07-14 Created: 2015-07-09 Last updated: 2017-12-04Bibliographically approved

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Lundow, Per-HåkanMarkström, Klas

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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  • de-DE
  • en-GB
  • en-US
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  • nn-NB
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Output format
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