Perspective on Physical Interpretations of Rényi Entropy in Statistical Mechanics
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916372459552768 |
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| author | Ozawa, Misaki Javerzat, Nina |
| author_facet | Ozawa, Misaki Javerzat, Nina |
| contents | Rényi entropy is a one-parameter generalization of Shannon entropy, which has been used in various fields of physics. Despite its wide applicability, the physical interpretations of the Rényi entropy are not widely known. In this paper, we discuss some basic properties of the Rényi entropy relevant to physics, in particular statistical mechanics, and its physical interpretations using free energy, replicas, work, and large deviation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06436 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Perspective on Physical Interpretations of Rényi Entropy in Statistical Mechanics Ozawa, Misaki Javerzat, Nina Statistical Mechanics Rényi entropy is a one-parameter generalization of Shannon entropy, which has been used in various fields of physics. Despite its wide applicability, the physical interpretations of the Rényi entropy are not widely known. In this paper, we discuss some basic properties of the Rényi entropy relevant to physics, in particular statistical mechanics, and its physical interpretations using free energy, replicas, work, and large deviation. |
| title | Perspective on Physical Interpretations of Rényi Entropy in Statistical Mechanics |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2404.06436 |