{"title":"沿着确定性运动产生熵","authors":"Mário J. de Oliveira","doi":"10.1007/s13538-024-01664-y","DOIUrl":null,"url":null,"abstract":"<div><p>We propose a stochastic dynamics to be associated to a deterministic motion defined by a set of first order differential equation. The transitions that defined the stochastic dynamics are unidirectional, and the rates are equal to the absolute value of the velocity vector field associate to the deterministic motion. From the stochastic dynamics, we determine the entropy production and the entropy flux. This last quantity is found to be the negative of the divergence of the velocity vector field. In the case of a Hamiltonian dynamics, it vanishes identically.</p></div>","PeriodicalId":499,"journal":{"name":"Brazilian Journal of Physics","volume":"55 1","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2024-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Entropy Production Along a Deterministic Motion\",\"authors\":\"Mário J. de Oliveira\",\"doi\":\"10.1007/s13538-024-01664-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We propose a stochastic dynamics to be associated to a deterministic motion defined by a set of first order differential equation. The transitions that defined the stochastic dynamics are unidirectional, and the rates are equal to the absolute value of the velocity vector field associate to the deterministic motion. From the stochastic dynamics, we determine the entropy production and the entropy flux. This last quantity is found to be the negative of the divergence of the velocity vector field. In the case of a Hamiltonian dynamics, it vanishes identically.</p></div>\",\"PeriodicalId\":499,\"journal\":{\"name\":\"Brazilian Journal of Physics\",\"volume\":\"55 1\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2024-11-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Brazilian Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13538-024-01664-y\",\"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":"Brazilian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s13538-024-01664-y","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}
We propose a stochastic dynamics to be associated to a deterministic motion defined by a set of first order differential equation. The transitions that defined the stochastic dynamics are unidirectional, and the rates are equal to the absolute value of the velocity vector field associate to the deterministic motion. From the stochastic dynamics, we determine the entropy production and the entropy flux. This last quantity is found to be the negative of the divergence of the velocity vector field. In the case of a Hamiltonian dynamics, it vanishes identically.
期刊介绍：
The Brazilian Journal of Physics is a peer-reviewed international journal published by the Brazilian Physical Society (SBF). The journal publishes new and original research results from all areas of physics, obtained in Brazil and from anywhere else in the world. Contents include theoretical, practical and experimental papers as well as high-quality review papers. Submissions should follow the generally accepted structure for journal articles with basic elements: title, abstract, introduction, results, conclusions, and references.
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