透视统计力学中雷尼熵的物理解释

IF 1.8 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY EPL Pub Date : 2024-08-01 DOI:10.1209/0295-5075/ad5d89

Misaki Ozawa and Nina Javerzat

{"title":"透视统计力学中雷尼熵的物理解释","authors":"Misaki Ozawa and Nina Javerzat","doi":"10.1209/0295-5075/ad5d89","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"42 1","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Perspective on physical interpretations of Rényi entropy in statistical mechanics\",\"authors\":\"Misaki Ozawa and Nina Javerzat\",\"doi\":\"10.1209/0295-5075/ad5d89\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":11738,\"journal\":{\"name\":\"EPL\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"EPL\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1209/0295-5075/ad5d89\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"EPL","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1209/0295-5075/ad5d89","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

雷尼熵是香农熵的单参数广义化，已被用于物理学的各个领域。尽管雷尼熵具有广泛的适用性，但它的物理解释并不广为人知。在本文中，我们将讨论雷尼熵与物理学（尤其是统计力学）相关的一些基本性质，以及利用自由能、复制品、功和大偏差对其进行的物理解释。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Perspective on physical interpretations of Rényi entropy in 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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

EPL 物理-物理：综合

CiteScore

3.30

自引率

5.60%

发文量

332

审稿时长

1.9 months

期刊介绍： General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology. Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate). EPL also publishes Comments on Letters previously published in the Journal.