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Reconstruction of the finite size canonical ensemble from incomplete micro-canonical data
Department of theoretical physics, AlbaNova University Center, KTH, SE-106 91 Stockholm, Sweden.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2009 (English)In: Central European Journal of Physics, ISSN 1644-3608, Vol. 7, no 3, 490-502 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we discuss how partial knowledge of the density of states for a model can be used to give good approximations of the energy distributions in a given temperature range. From these distributions one can then obtain the statistical moments corresponding to e. g. the internal energy and the specific heat. These questions have gained interest apropos of several recent methods for estimating the density of states of spin models. As a worked example we finally apply these methods to the 3-state Potts model for cubic lattices of linear order up to 128. We give estimates of e. g. latent heat and critical temperature, as well as the micro-canonical properties of interest.

Place, publisher, year, edition, pages
Walter de Gruyter, 2009. Vol. 7, no 3, 490-502 p.
Keyword [en]
statistical physics, monte carlo method, phase transitions, ising model, potts model, ising-model
National Category
Mathematics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:umu:diva-31689DOI: 10.2478/S11534-009-0033-9ISI: 000267365100014OAI: oai:DiVA.org:umu-31689DiVA: diva2:293867
Available from: 2010-02-15 Created: 2010-02-15 Last updated: 2015-05-22Bibliographically approved

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Lundow, Per-HåkanMarkström, Klas

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