Multiscaling in the 3D critical site-diluted Ising ferromagnet
arXiv:2309.06752 · doi:10.1088/1742-5468/ad13fe
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.
arXiv comment19 pages and 5 figures. Final version of the paper
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