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Issue Europhys. Lett.
Volume 38, Number 8, June 1997
Page(s) 565 - 570
Section General
DOI 10.1209/epl/i1997-00284-x

Universality and the five-dimensional Ising model DOI: 10.1209/epl/i1997-00284-x

Europhys. Lett, 38 (8), pp. 565-570 (1997)

Universality and the five-dimensional Ising model

H. W. J. Blöte and E. Luijten

Department of Physics, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands

(received 19 February 1997; accepted 12 May 1997)

PACS. 05.50 - Lattice theory and statistics; Ising problems.
PACS. 05.70Jk - Critical point phenomena.
PACS. 64.60Fr - Equilibrium properties near critical points, critical exponents.

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 . Our determination of the critical point, (4), is more than an order of magnitude more accurate than previous estimates.



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