Universal scaling limits for spin networks via martingale methods
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917549734625280 |
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| author | Franchini, Simone |
| author_facet | Franchini, Simone |
| contents | We use simple martingale methods to construct a large deviation theory of spin systems with pairwise interactions. As an application, we show that the fully connected case obeys a universal scaling limit that is just a product of magnetisation eigenstates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08150 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Universal scaling limits for spin networks via martingale methods Franchini, Simone Statistical Mechanics Probability 82B44, 60G42 G.2.2; G.3 We use simple martingale methods to construct a large deviation theory of spin systems with pairwise interactions. As an application, we show that the fully connected case obeys a universal scaling limit that is just a product of magnetisation eigenstates. |
| title | Universal scaling limits for spin networks via martingale methods |
| topic | Statistical Mechanics Probability 82B44, 60G42 G.2.2; G.3 |
| url | https://arxiv.org/abs/2410.08150 |