Fluctuations of the 2-spin SSK model with magnetic field
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866929216238387200 |
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| author | Landon, Benjamin Sosoe, Philippe |
| author_facet | Landon, Benjamin Sosoe, Philippe |
| contents | We analyze the fluctuations of the free energy, replica overlaps, and overlap with the external field in the quadratic spherical SK model with a magnetic field. We identify several different behaviors for these quantities depending on the size of the magnetic field, confirming predictions by Fyodorov-Le Doussal and recent work of Baik, Collins-Wildman, Le Doussal and Wu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_12514 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Fluctuations of the 2-spin SSK model with magnetic field Landon, Benjamin Sosoe, Philippe Probability Mathematical Physics 82D30, 60B20 We analyze the fluctuations of the free energy, replica overlaps, and overlap with the external field in the quadratic spherical SK model with a magnetic field. We identify several different behaviors for these quantities depending on the size of the magnetic field, confirming predictions by Fyodorov-Le Doussal and recent work of Baik, Collins-Wildman, Le Doussal and Wu. |
| title | Fluctuations of the 2-spin SSK model with magnetic field |
| topic | Probability Mathematical Physics 82D30, 60B20 |
| url | https://arxiv.org/abs/2009.12514 |