Further results on the free energy of the random field Ising chain in the case of centered disorder
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914168722948096 |
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| author | Collin, Orphée |
| author_facet | Collin, Orphée |
| contents | We study the expansion of the limiting free energy density of the random field Ising chain with centered IID disorder and homogeneous coupling parameter, when the latter goes to infinity. We extend the first order result of [Collin, 2025] to the general case of finite second moment. Furthermore, we identify the value of the unknown constant appearing in the main theorem of [Collin, Giacomin, Greenblatt, Hu, 2025], which is the first non-universal constant in the expansion of the limiting free energy density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18912 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Further results on the free energy of the random field Ising chain in the case of centered disorder Collin, Orphée Probability 34D08, 60K37, 82B44, 60K35 We study the expansion of the limiting free energy density of the random field Ising chain with centered IID disorder and homogeneous coupling parameter, when the latter goes to infinity. We extend the first order result of [Collin, 2025] to the general case of finite second moment. Furthermore, we identify the value of the unknown constant appearing in the main theorem of [Collin, Giacomin, Greenblatt, Hu, 2025], which is the first non-universal constant in the expansion of the limiting free energy density. |
| title | Further results on the free energy of the random field Ising chain in the case of centered disorder |
| topic | Probability 34D08, 60K37, 82B44, 60K35 |
| url | https://arxiv.org/abs/2511.18912 |