Ferromagnetic Ising Model on multiregular random graphs
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916170346528768 |
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| author | Alberici, Diego Contucci, Pierluigi Mingione, Emanuele Zimmaro, Filippo |
| author_facet | Alberici, Diego Contucci, Pierluigi Mingione, Emanuele Zimmaro, Filippo |
| contents | A family of multispecies Ising models on generalized regular random graphs is investigated in the thermodynamic limit. The architecture is specified by class-dependent couplings and magnetic fields. We prove that the magnetizations, neighbours correlations and free energy converge to suitable functions evaluated at the solution of a belief propagation fixed point equation. In absence of magnetic fields, a phase transition is identified and the corresponding critical parameters are determined by the spectral radius of a low-dimensional matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14307 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ferromagnetic Ising Model on multiregular random graphs Alberici, Diego Contucci, Pierluigi Mingione, Emanuele Zimmaro, Filippo Mathematical Physics 82B20 (Primary) 82B44 (Secondary) A family of multispecies Ising models on generalized regular random graphs is investigated in the thermodynamic limit. The architecture is specified by class-dependent couplings and magnetic fields. We prove that the magnetizations, neighbours correlations and free energy converge to suitable functions evaluated at the solution of a belief propagation fixed point equation. In absence of magnetic fields, a phase transition is identified and the corresponding critical parameters are determined by the spectral radius of a low-dimensional matrix. |
| title | Ferromagnetic Ising Model on multiregular random graphs |
| topic | Mathematical Physics 82B20 (Primary) 82B44 (Secondary) |
| url | https://arxiv.org/abs/2403.14307 |