Universality and the five-dimensional Ising model

H. W J Blöte; E. Luijten

doi:10.1209/epl/i1997-00284-x

Universality and the five-dimensional Ising model

H. W J Blöte, E. Luijten

Materials Science and Engineering

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43 Scopus citations

Abstract

We solve the long-standing discrepancy between Monte Carlo results and the renormalization prediction for the Binder cumulant of the five-dimensional Ising model. Our conclusions are based on accurate Monte Carlo data for systems with linear sizes up to L = 22. A detailed analysis of the corrections to scaling allows the extrapolation of these results to L = ∞. Our determination of the critical point, K_c = 0.1139150 (4), is more than an order of magnitude more accurate than previous estimates.

Original language	English (US)
Pages (from-to)	565-570
Number of pages	6
Journal	Europhysics Letters
Volume	38
Issue number	8
DOIs	https://doi.org/10.1209/epl/i1997-00284-x
State	Published - Jun 10 1997

ASJC Scopus subject areas

Physics and Astronomy(all)

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AB - We solve the long-standing discrepancy between Monte Carlo results and the renormalization prediction for the Binder cumulant of the five-dimensional Ising model. Our conclusions are based on accurate Monte Carlo data for systems with linear sizes up to L = 22. A detailed analysis of the corrections to scaling allows the extrapolation of these results to L = ∞. Our determination of the critical point, Kc = 0.1139150 (4), is more than an order of magnitude more accurate than previous estimates.

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Universality and the five-dimensional Ising model

Abstract

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