Scaling above the upper critical dimension in Ising Models

Details Scaling above the upper critical dimension in Ising Models Scaling above the upper critical dimension in Ising Models

1996-04-29

arxiv.org/abs/cond-mat/9604166v1

Phys.Rev. B54 (1996) 3698

Physics

Condensed Matter

9 pages and 3 figures, available at http://chimera.roma1.infn.it/index_papers_complex.html

Scientific paper

10.1103/PhysRevB.54.R3698

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.

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