English

Universality and the five-dimensional Ising model

Statistical Mechanics 2009-10-30 v1

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=\infinity. Our determination of the critical point, K_c=0.1139150 (4), is more than an order of magnitude more accurate than previous estimates.

Keywords

Cite

@article{arxiv.cond-mat/9702172,
  title  = {Universality and the five-dimensional Ising model},
  author = {Henk W. J. Blöte and Erik Luijten},
  journal= {arXiv preprint arXiv:cond-mat/9702172},
  year   = {2009}
}

Comments

6 pages LaTeX, 1 PostScript figure. Uses cite.sty (included) and epsf.sty. Also available as PostScript and PDF file at http://www.tn.tudelft.nl/tn/erikpubs.html