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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2309.07942 |
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| _version_ | 1866909660079980544 |
|---|---|
| author | Rigas, Pete |
| author_facet | Rigas, Pete |
| contents | We extend previous results due to Ding and Zhuang in order to prove that a phase transition occurs for the long range Ising model in lower dimensions. By making use of a recent argument due to Affonso, Bissacot and Maia from 2022 which establishes that a phase transition occurs for the long range, random-field Ising model, from a suggestion of the authors we demonstrate that a phase transition also occurs for the long range Ising model, from a set of appropriately defined contours for the long range system, and a Peierls' argument. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07942 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Phase transition of the long range Ising model in lower dimensions, for $d < α\leq d + 1$, with a Peierls argument Rigas, Pete Probability Mathematical Physics We extend previous results due to Ding and Zhuang in order to prove that a phase transition occurs for the long range Ising model in lower dimensions. By making use of a recent argument due to Affonso, Bissacot and Maia from 2022 which establishes that a phase transition occurs for the long range, random-field Ising model, from a suggestion of the authors we demonstrate that a phase transition also occurs for the long range Ising model, from a set of appropriately defined contours for the long range system, and a Peierls' argument. |
| title | Phase transition of the long range Ising model in lower dimensions, for $d < α\leq d + 1$, with a Peierls argument |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2309.07942 |