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The Ising model for the bcc, fcc and diamond lattices: A comparison
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2009 (English)In: Philosophical Magazine, ISSN 1478-6435, E-ISSN 1478-6443, Vol. 89, no 22-24, 2009-2042 p.Article in journal (Refereed) Published
Abstract [en]

A large-scale Monte Carlo simulation study of the Ising model for the simple cubic lattice was recently performed by us. In this paper, we complement that study with the bcc, fcc and diamond lattices. Both the canonical and microcanonical ensembles are employed. We give estimates of the critical temperature and also other quantities in the critical region. An analysis of the critical behaviour points to distinct high-and low-temperature exponents, especially for the specific heat, as was also obtained for the simple cubic lattice, although the agreement is good between the different lattices. The source of this discrepancy is briefly discussed.

Place, publisher, year, edition, pages
Taylor & Francis Group, 2009. Vol. 89, no 22-24, 2009-2042 p.
Keyword [en]
ising model, phase transition, scaling, monte-carlo, critical exponents, coupling-constant, renormalization, temperature, transition
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:umu:diva-52118DOI: 10.1080/14786430802680512ISI: 000268606800022OAI: oai:DiVA.org:umu-52118DiVA: diva2:497234
Available from: 2012-02-10 Created: 2012-02-10 Last updated: 2017-12-07Bibliographically approved

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