{"title":"Hill-Wheeler公式在核裂变统计模型中的应用:基于与半导体物理相似性的统计力学方法。","authors":"Hirokazu Maruyama","doi":"10.3390/e27030227","DOIUrl":null,"url":null,"abstract":"<p><p>This study proposes a novel theoretical approach to understanding the statistical-mechanical similarities between nuclear fission phenomena and semiconductor physics. Using the Hill-Wheeler formula as a quantum mechanical distribution function and establishing its correspondence with the Fermi-Dirac distribution function, we analyzed nuclear fission processes for nine nuclides (<sup>232</sup>Th, <sup>233</sup>U, <sup>235</sup>U, <sup>238</sup>U, <sup>237</sup>Np, <sup>239</sup>Pu, <sup>240</sup>Pu, <sup>242</sup>Pu, <sup>241</sup>Am) using JENDL-5.0 data.</p>","PeriodicalId":11694,"journal":{"name":"Entropy","volume":"27 3","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11940894/pdf/","citationCount":"0","resultStr":"{\"title\":\"Application of the Hill-Wheeler Formula in Statistical Models of Nuclear Fission: A Statistical-Mechanical Approach Based on Similarities with Semiconductor Physics.\",\"authors\":\"Hirokazu Maruyama\",\"doi\":\"10.3390/e27030227\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>This study proposes a novel theoretical approach to understanding the statistical-mechanical similarities between nuclear fission phenomena and semiconductor physics. Using the Hill-Wheeler formula as a quantum mechanical distribution function and establishing its correspondence with the Fermi-Dirac distribution function, we analyzed nuclear fission processes for nine nuclides (<sup>232</sup>Th, <sup>233</sup>U, <sup>235</sup>U, <sup>238</sup>U, <sup>237</sup>Np, <sup>239</sup>Pu, <sup>240</sup>Pu, <sup>242</sup>Pu, <sup>241</sup>Am) using JENDL-5.0 data.</p>\",\"PeriodicalId\":11694,\"journal\":{\"name\":\"Entropy\",\"volume\":\"27 3\",\"pages\":\"\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2025-02-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11940894/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Entropy\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.3390/e27030227\",\"RegionNum\":3,\"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":"Entropy","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.3390/e27030227","RegionNum":3,"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}
Application of the Hill-Wheeler Formula in Statistical Models of Nuclear Fission: A Statistical-Mechanical Approach Based on Similarities with Semiconductor Physics.
This study proposes a novel theoretical approach to understanding the statistical-mechanical similarities between nuclear fission phenomena and semiconductor physics. Using the Hill-Wheeler formula as a quantum mechanical distribution function and establishing its correspondence with the Fermi-Dirac distribution function, we analyzed nuclear fission processes for nine nuclides (232Th, 233U, 235U, 238U, 237Np, 239Pu, 240Pu, 242Pu, 241Am) using JENDL-5.0 data.
期刊介绍:
Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.