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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.00662 |
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| _version_ | 1866917728632176640 |
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| author | Rühr, René |
| author_facet | Rühr, René |
| contents | We associate to each unit volume lattice of $\R^d$ the Ising model with bond variables equal to the inverse successive minima of that lattice. This induces the notion of a critical temperature for a random lattice for which integrability exponents are proven. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00662 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On bond anisotropy for the ising model through the geometry of numbers Rühr, René Dynamical Systems Statistical Mechanics We associate to each unit volume lattice of $\R^d$ the Ising model with bond variables equal to the inverse successive minima of that lattice. This induces the notion of a critical temperature for a random lattice for which integrability exponents are proven. |
| title | On bond anisotropy for the ising model through the geometry of numbers |
| topic | Dynamical Systems Statistical Mechanics |
| url | https://arxiv.org/abs/2404.00662 |