{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T02:20:01Z","timestamp":1784859601542,"version":"3.55.0"},"reference-count":3,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2018,3,28]],"date-time":"2018-03-28T00:00:00Z","timestamp":1522195200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The slowing down equation for elastic scattering of neutrons in an infinite homogeneous medium is solved analytically by decomposing the neutron energy spectrum into collision intervals. Since scattering physically smooths energy distributions by redistributing neutron energy uniformly, it is informative to observe how mathematics accommodates the scattering process, which increases entropy through disorder.<\/jats:p>","DOI":"10.3390\/e20040233","type":"journal-article","created":{"date-parts":[[2018,3,29]],"date-time":"2018-03-29T05:26:37Z","timestamp":1522301197000},"page":"233","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A Mathematical Realization of Entropy through Neutron Slowing Down"],"prefix":"10.3390","volume":"20","author":[{"given":"Barry","family":"Ganapol","sequence":"first","affiliation":[{"name":"Department of Aerospace and Mechanical engineering, University of Arizona, Tucson, AZ 85721, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2466-9687","authenticated-orcid":false,"given":"Domiziano","family":"Mostacci","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering, University of Bologna, 40136 Bologna, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vincenzo","family":"Molinari","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering, University of Bologna, 40136 Bologna, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2018,3,28]]},"reference":[{"key":"ref_1","unstructured":"Williams, M.M.R. (1966). Slowing Down and Thermalization of Neutrons, North-Holland Pub. Co."},{"key":"ref_2","unstructured":"Carson, E.M., and Watson, J.R. (2002). Undergraduate Students\u2019 Understandings of Entropy and Gibbs Free Energy, Royal Society of Chemistry. University Chemistry Education\u20132002 Papers."},{"key":"ref_3","unstructured":"Ganapol, B.D. (2008). Analytical Benchmarks for Nuclear Engineering Applications, AEN\/NEA."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/4\/233\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T14:58:51Z","timestamp":1760194731000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/20\/4\/233"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,28]]},"references-count":3,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2018,4]]}},"alternative-id":["e20040233"],"URL":"https:\/\/doi.org\/10.3390\/e20040233","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3,28]]}}}