The enigmatic exponent koppa and the story of finite-size scaling above the upper critical dimension
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911891014549504 |
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| author | Kenna, Ralph Berche, Bertrand |
| author_facet | Kenna, Ralph Berche, Bertrand |
| contents | Scaling, hyperscaling and finite-size scaling were long considered problematic in theories of critical phenomena in high dimensions. The scaling relations themselves form a model-independent structure that any model-specific theory must adhere to, and they are accounted for by the simple principle of homogeneity. Finite-size scaling is similarly founded on the fundamental idea that only two length scales enter the game -- namely system length and correlation length. While all scaling relations are quite satisfactory for multitudes of physical systems in low dimensions, one fails in high dimensions... |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09191 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The enigmatic exponent koppa and the story of finite-size scaling above the upper critical dimension Kenna, Ralph Berche, Bertrand Statistical Mechanics Scaling, hyperscaling and finite-size scaling were long considered problematic in theories of critical phenomena in high dimensions. The scaling relations themselves form a model-independent structure that any model-specific theory must adhere to, and they are accounted for by the simple principle of homogeneity. Finite-size scaling is similarly founded on the fundamental idea that only two length scales enter the game -- namely system length and correlation length. While all scaling relations are quite satisfactory for multitudes of physical systems in low dimensions, one fails in high dimensions... |
| title | The enigmatic exponent koppa and the story of finite-size scaling above the upper critical dimension |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2404.09191 |