On the large interaction asymptotics of the free energy density of the Ising chain with disordered centered external field
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911884496601088 |
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| author | Collin, Orphée |
| author_facet | Collin, Orphée |
| contents | This article completes [G. Giacomin, R. Greenblatt, ALEA 2022] by identifying explicitly the leading coefficient in the asymptotic development of the free energy density of the centered Random Field Ising Chain as the spin-spin interaction of the chain goes to infinity, under general assumptions on the disorder law. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19626 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the large interaction asymptotics of the free energy density of the Ising chain with disordered centered external field Collin, Orphée Probability 60K37, 82B44, 60K35 This article completes [G. Giacomin, R. Greenblatt, ALEA 2022] by identifying explicitly the leading coefficient in the asymptotic development of the free energy density of the centered Random Field Ising Chain as the spin-spin interaction of the chain goes to infinity, under general assumptions on the disorder law. |
| title | On the large interaction asymptotics of the free energy density of the Ising chain with disordered centered external field |
| topic | Probability 60K37, 82B44, 60K35 |
| url | https://arxiv.org/abs/2403.19626 |