Phase transitions in the Ising model on random graphs
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909927785627648 |
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| author | Alexandrov, Artem Medvedev, Georgi S. |
| author_facet | Alexandrov, Artem Medvedev, Georgi S. |
| contents | We study phase transitions in the Ising model on random graphs using graph limits. We show that the critical temperatures are determined by the eigenvalues of the kernel operator associated with the graph limit. Bifurcation diagrams for Erdos-Renyi, small-world, and power-law graphs illustrate the theory. In the small-world case, we identify metastable behavior in both ferromagnetic and antiferromagnetic regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10838 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase transitions in the Ising model on random graphs Alexandrov, Artem Medvedev, Georgi S. Mathematical Physics Statistical Mechanics Pattern Formation and Solitons We study phase transitions in the Ising model on random graphs using graph limits. We show that the critical temperatures are determined by the eigenvalues of the kernel operator associated with the graph limit. Bifurcation diagrams for Erdos-Renyi, small-world, and power-law graphs illustrate the theory. In the small-world case, we identify metastable behavior in both ferromagnetic and antiferromagnetic regimes. |
| title | Phase transitions in the Ising model on random graphs |
| topic | Mathematical Physics Statistical Mechanics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2511.10838 |