Multiscaling in the 3D critical site-diluted Ising ferromagnet
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866929210595999744 |
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| author | Marinari, E. Martin-Mayor, V. Parisi, G. Ricci-Tersenghi, F. Ruiz-Lorenzo, J. J. |
| author_facet | Marinari, E. Martin-Mayor, V. Parisi, G. Ricci-Tersenghi, F. Ruiz-Lorenzo, J. J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_06752 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Multiscaling in the 3D critical site-diluted Ising ferromagnet Marinari, E. Martin-Mayor, V. Parisi, G. Ricci-Tersenghi, F. Ruiz-Lorenzo, J. J. Disordered Systems and Neural Networks Statistical Mechanics 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. |
| title | Multiscaling in the 3D critical site-diluted Ising ferromagnet |
| topic | Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2309.06752 |