We study numerically the appearance of multiscaling behavior in the 3D 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 evidence of multiscaling behavior.
Multiscaling in the 3D critical site-diluted Ising ferromagnet / Marinari, E; Martin-Mayor, V; Parisi, G; Ricci-Tersenghi, F; Ruiz-Lorenzo, J J. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2024:1(2024), pp. 1-18. [10.1088/1742-5468/ad13fe]
Multiscaling in the 3D critical site-diluted Ising ferromagnet
Marinari, E;Parisi, G;Ricci-Tersenghi, F
;
2024
Abstract
We study numerically the appearance of multiscaling behavior in the 3D 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 evidence of multiscaling behavior.File | Dimensione | Formato | |
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