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Reconstruction of the finite size canonical ensemble from incomplete micro-canonical data
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Condensed Matter Theory.
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
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
Other Physics Topics
URN: urn:nbn:se:kth:diva-18546DOI: 10.2478/s11534-009-0033-9ISI: 000267365100014ScopusID: 2-s2.0-67649908623OAI: diva2:336593
2nd International Conference on Statistical Physics Kolymbari, GREECE, JUL 14-18, 2008
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2011-03-11Bibliographically approved

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Lundow, Per Håkan
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