Free energy in spin glass models with conventional order
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
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| _version_ | 1866908550216810496 |
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| author | Chen, Hong-Bin |
| author_facet | Chen, Hong-Bin |
| contents | Recently, [DOI:10.1007/s10955-023-03135-1] considered spin glass models with additional conventional order parameters characterizing single-replica properties. These parameters are distinct from the standard order parameter, the overlap, used to measure correlations between replicas. A ``min-max'' formula for the free energy was prescribed in [DOI:10.1007/s10955-023-03135-1]. We rigorously verify this prescription in the setting of vector spin glass models featuring additional deterministic spin interactions. Notably, our results can be viewed as a generalization of the Parisi formula for vector spin glass models in [DOI:10.1214/17-AOP1194], where the order parameter for self-overlap is already present. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10223 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free energy in spin glass models with conventional order Chen, Hong-Bin Disordered Systems and Neural Networks Mathematical Physics Probability 82B44, 82D30 Recently, [DOI:10.1007/s10955-023-03135-1] considered spin glass models with additional conventional order parameters characterizing single-replica properties. These parameters are distinct from the standard order parameter, the overlap, used to measure correlations between replicas. A ``min-max'' formula for the free energy was prescribed in [DOI:10.1007/s10955-023-03135-1]. We rigorously verify this prescription in the setting of vector spin glass models featuring additional deterministic spin interactions. Notably, our results can be viewed as a generalization of the Parisi formula for vector spin glass models in [DOI:10.1214/17-AOP1194], where the order parameter for self-overlap is already present. |
| title | Free energy in spin glass models with conventional order |
| topic | Disordered Systems and Neural Networks Mathematical Physics Probability 82B44, 82D30 |
| url | https://arxiv.org/abs/2401.10223 |