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Alternative phenomenological coupling parameter for finite-size analysis of numerical data at criticality
2010 (English)In: PHYSICAL REVIEW B, Vol. 82, no 2, 024414Article in journal (Refereed) Published
Abstract [en]

We introduce a parameter W(beta,L) =(pi <vertical bar m vertical bar > (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
National Category
Condensed Matter Physics
URN: urn:nbn:se:umu:diva-107765DOI: 10.1103/PhysRevB.82.024414ISI: 000279887300003OAI: diva2:851494
Available from: 2015-09-05 Created: 2015-08-28 Last updated: 2015-09-07

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Lundow, P. H.
Condensed Matter Physics

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