A correlation bound for the one-dimensional heterogeneous Ising model
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915782481412096 |
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| author | Athaide, Edward Głuchowski, Maciej Köppl, Jonas Menz, Georg |
| author_facet | Athaide, Edward Głuchowski, Maciej Köppl, Jonas Menz, Georg |
| contents | We derive a new upper bound for the correlations in a heterogeneous one-dimensional Ising model with free boundary conditions. The new upper bound quantifies the simultaneous decay of correlations due to weakness of nearest-neighbor coupling constants and the effect of external fields. The proof constitutes an application of random currents to a non-ferromagnetic Ising model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06209 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A correlation bound for the one-dimensional heterogeneous Ising model Athaide, Edward Głuchowski, Maciej Köppl, Jonas Menz, Georg Probability Primary 82B20, Secondary 60K35 We derive a new upper bound for the correlations in a heterogeneous one-dimensional Ising model with free boundary conditions. The new upper bound quantifies the simultaneous decay of correlations due to weakness of nearest-neighbor coupling constants and the effect of external fields. The proof constitutes an application of random currents to a non-ferromagnetic Ising model. |
| title | A correlation bound for the one-dimensional heterogeneous Ising model |
| topic | Probability Primary 82B20, Secondary 60K35 |
| url | https://arxiv.org/abs/2505.06209 |