Ferromagnetic Ising Model on multiregular random graphs
Mathematical Physics
2024-03-22 v1 math.MP
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.
Cite
@article{arxiv.2403.14307,
title = {Ferromagnetic Ising Model on multiregular random graphs},
author = {Diego Alberici and Pierluigi Contucci and Emanuele Mingione and Filippo Zimmaro},
journal= {arXiv preprint arXiv:2403.14307},
year = {2024}
}
Comments
34 pages, 2 figures