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...
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| Language: | English |
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MDPI AG
2025-02-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/27/3/227 |
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| author | Hirokazu Maruyama |
| author_facet | Hirokazu Maruyama |
| author_sort | Hirokazu Maruyama |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1f5b96a57ef045c08e2ed4aead58e44b |
| institution | Kabale University |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-1f5b96a57ef045c08e2ed4aead58e44b2025-08-20T03:43:27ZengMDPI AGEntropy1099-43002025-02-0127322710.3390/e27030227Application of the Hill-Wheeler Formula in Statistical Models of Nuclear Fission: A Statistical–Mechanical Approach Based on Similarities with Semiconductor PhysicsHirokazu Maruyama0Independent Researcher, Kobe 655-0861, Hyogo, JapanThis 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.https://www.mdpi.com/1099-4300/27/3/227nuclear fissionstatistical modelHill–Wheeler equationquantum mechanical distribution functiondistribution functionfission yield |
| spellingShingle | Hirokazu Maruyama Application of the Hill-Wheeler Formula in Statistical Models of Nuclear Fission: A Statistical–Mechanical Approach Based on Similarities with Semiconductor Physics Entropy nuclear fission statistical model Hill–Wheeler equation quantum mechanical distribution function distribution function fission yield |
| title | Application of the Hill-Wheeler Formula in Statistical Models of Nuclear Fission: A Statistical–Mechanical Approach Based on Similarities with Semiconductor Physics |
| title_full | Application of the Hill-Wheeler Formula in Statistical Models of Nuclear Fission: A Statistical–Mechanical Approach Based on Similarities with Semiconductor Physics |
| title_fullStr | Application of the Hill-Wheeler Formula in Statistical Models of Nuclear Fission: A Statistical–Mechanical Approach Based on Similarities with Semiconductor Physics |
| title_full_unstemmed | Application of the Hill-Wheeler Formula in Statistical Models of Nuclear Fission: A Statistical–Mechanical Approach Based on Similarities with Semiconductor Physics |
| title_short | Application of the Hill-Wheeler Formula in Statistical Models of Nuclear Fission: A Statistical–Mechanical Approach Based on Similarities with Semiconductor Physics |
| title_sort | application of the hill wheeler formula in statistical models of nuclear fission a statistical mechanical approach based on similarities with semiconductor physics |
| topic | nuclear fission statistical model Hill–Wheeler equation quantum mechanical distribution function distribution function fission yield |
| url | https://www.mdpi.com/1099-4300/27/3/227 |
| work_keys_str_mv | AT hirokazumaruyama applicationofthehillwheelerformulainstatisticalmodelsofnuclearfissionastatisticalmechanicalapproachbasedonsimilaritieswithsemiconductorphysics |