Universality in the three-dimensional random-field Ising model
Disordered Systems and Neural Networks
2013-05-31 v2 Statistical Mechanics
Abstract
We solve a long-standing puzzle in Statistical Mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we show, to high numerical accuracy, that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.
Cite
@article{arxiv.1304.0318,
title = {Universality in the three-dimensional random-field Ising model},
author = {Nikolaos G. Fytas and Victor Martin-Mayor},
journal= {arXiv preprint arXiv:1304.0318},
year = {2013}
}
Comments
7 pages, 4 figures, 4 tables. Version to be published in Phys. Rev. Lett. Appendices contain Supplemental Material