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Alternative phenomenological coupling parameter for finite-size analysis of numerical data at criticality
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Condensed Matter Theory.
2010 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 82, no 2, 024414- p.Article in journal (Refereed) Published
Abstract [en]

We introduce a parameter W(beta,L) =(pi (2)/< m(2)>- 2/(pi-2) which like the kurtosis (Binder cumulant) is a phenomenological coupling characteristic of the shape of the distribution p(m) of the order parameter m. To demonstrate the use of the parameter we analyze extensive numerical data obtained from density-of-states measurements on the canonical simple-cubic spin-1/2 Ising ferromagnet, for sizes L=4 to L=256. Using the W parameter accurate estimates are obtained for the critical inverse temperature beta(c)=0.2216541(2), and for the thermal exponent nu=0.6308(4). In this system at least, corrections to finite-size scaling are significantly weaker for the W parameter than for the Binder cumulant.

Place, publisher, year, edition, pages
2010. Vol. 82, no 2, 024414- p.
Keyword [en]
ISING-MODEL
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-29479DOI: 10.1103/PhysRevB.82.024414ISI: 000279887300003Scopus ID: 2-s2.0-77956524676OAI: oai:DiVA.org:kth-29479DiVA: diva2:395160
Note
QC 20110204Available from: 2011-02-04 Created: 2011-02-02 Last updated: 2017-12-11Bibliographically approved

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Lundow, Per Håkan
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