In the literature, there are five distinct, fragmented sets of analytic predictions for the scaling behaviour at the phase transition in the random-site Ising model in four dimensions. Here, the scaling relations for logarithmic corrections are used to complete the scaling pictures for each set. A numerical approach is then used to confirm the leading scaling picture coming from these predictions and to discriminate between them at the level of logarithmic corrections.
@article{arxiv.0908.3964,
title = {The Site-Diluted Ising Model in Four Dimension},
author = {A. Gordillo-Guerrero and R. Kenna and J. J. Ruiz-Lorenzo},
journal= {arXiv preprint arXiv:0908.3964},
year = {2015}
}
Comments
15 pages, 5 ps figures. Accepted for publication in Phys. Rev. E