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arXiv · 2403.14307

Ferromagnetic Ising Model on multiregular random graphs

Diego Alberici·Pierluigi Contucci·Emanuele Mingione·Filippo Zimmaro
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Abstract

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.

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Diego Alberici, Pierluigi Contucci, Emanuele Mingione, Filippo Zimmaro. 2024-03-21. Ferromagnetic Ising Model on multiregular random graphs. https://arxiv.org/abs/2403.14307

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