Scaling above the upper critical dimension in Ising Models
Condensed Matter
2009-10-28 v1 High Energy Physics - Lattice
Abstract
We rederive the finite size scaling formula for the apparent critical temperature by using Mean Field Theory for the Ising Model above the upper critical dimension. We have also performed numerical simulations in five dimensions and our numerical data are in a good agreement with the Mean Field theoretical predictions, in particular, with the finite size exponent of the connected susceptibility and with the value of the Binder cumulant.
Cite
@article{arxiv.cond-mat/9604166,
title = {Scaling above the upper critical dimension in Ising Models},
author = {Giorgio Parisi and Juan J. Ruiz-Lorenzo},
journal= {arXiv preprint arXiv:cond-mat/9604166},
year = {2009}
}
Comments
9 pages and 3 figures, available at http://chimera.roma1.infn.it/index_papers_complex.html