Multiscaling in the 3D critical site-diluted Ising ferromagnet
Disordered Systems and Neural Networks
2024-01-17 v2 Statistical Mechanics
Abstract
We have studied numerically the appearance of multiscaling behavior in the three-dimensional ferromagnetic Ising site diluted model, in the form of a multifractal distribution of the decay exponents for the spatial correlation functions at the critical temperature. We have computed the exponents of the long-distance decay of higher moments of the correlation function, up to the 10th power, by studying three different quantities: global susceptibilities, local susceptibilities and correlation functions. We have found very clear evidences for multiscaling behavior.
Keywords
Cite
@article{arxiv.2309.06752,
title = {Multiscaling in the 3D critical site-diluted Ising ferromagnet},
author = {E. Marinari and V. Martin-Mayor and G. Parisi and F. Ricci-Tersenghi and J. J. Ruiz-Lorenzo},
journal= {arXiv preprint arXiv:2309.06752},
year = {2024}
}
Comments
19 pages and 5 figures. Final version of the paper