Anisotropic Ising model in d+s dimensions
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916209696440320 |
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| author | Borel, Estevão F. Procacci, Aldo Sanchis, Rémy Silva, Roger W. C. |
| author_facet | Borel, Estevão F. Procacci, Aldo Sanchis, Rémy Silva, Roger W. C. |
| contents | In this note, we consider the asymmetric nearest neighbor ferromagnetic Ising model on the $(d+s)$-dimensional unit cubic lattice $\Z^{d+s}$, at inverse temperature $β=1$ and with coupling constants $J_s>0$ and $J_d>0$ for edges of $\Z^s$ and $\Z^d$, respectively. We obtain a lower bound for the critical curve in the phase diagram of $(J_s,J_d)$. In particular, as $J_d$ approaches its critical value from below, our result is directly related to the so-called dimensional crossover phenomenon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07079 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anisotropic Ising model in d+s dimensions Borel, Estevão F. Procacci, Aldo Sanchis, Rémy Silva, Roger W. C. Mathematical Physics 82B20, 82B26 In this note, we consider the asymmetric nearest neighbor ferromagnetic Ising model on the $(d+s)$-dimensional unit cubic lattice $\Z^{d+s}$, at inverse temperature $β=1$ and with coupling constants $J_s>0$ and $J_d>0$ for edges of $\Z^s$ and $\Z^d$, respectively. We obtain a lower bound for the critical curve in the phase diagram of $(J_s,J_d)$. In particular, as $J_d$ approaches its critical value from below, our result is directly related to the so-called dimensional crossover phenomenon. |
| title | Anisotropic Ising model in d+s dimensions |
| topic | Mathematical Physics 82B20, 82B26 |
| url | https://arxiv.org/abs/2404.07079 |