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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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