A Mathematical Realization of Entropy through Neutron Slowing Down

A Mathematical Realization of Entropy through Neutron Slowing Down

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 inform...

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Bibliographic Details
Main Authors: Barry Ganapol, Domiziano Mostacci, Vincenzo Molinari
Format: Article
Language:English
Published: MDPI AG 2018-03-01
Series:Entropy
Subjects:
entropy
elastic scattering
neutron slowing down
Online Access:http://www.mdpi.com/1099-4300/20/4/233
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spelling doaj-6a0dae2947b4461da177422cc376168f2020-11-24T22:38:07ZengMDPI AGEntropy1099-43002018-03-0120423310.3390/e20040233e20040233A Mathematical Realization of Entropy through Neutron Slowing DownBarry Ganapol0Domiziano Mostacci1Vincenzo Molinari2Department of Aerospace and Mechanical engineering, University of Arizona, Tucson, AZ 85721, USADepartment of Industrial Engineering, University of Bologna, 40136 Bologna, ItalyDepartment of Industrial Engineering, University of Bologna, 40136 Bologna, ItalyThe 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.http://www.mdpi.com/1099-4300/20/4/233entropyelastic scatteringneutron slowing down
collection DOAJ
language English
format Article
sources DOAJ
author Barry Ganapol
Domiziano Mostacci
Vincenzo Molinari
spellingShingle Barry Ganapol
Domiziano Mostacci
Vincenzo Molinari
A Mathematical Realization of Entropy through Neutron Slowing Down
Entropy
entropy
elastic scattering
neutron slowing down
author_facet Barry Ganapol
Domiziano Mostacci
Vincenzo Molinari
author_sort Barry Ganapol
title A Mathematical Realization of Entropy through Neutron Slowing Down
title_short A Mathematical Realization of Entropy through Neutron Slowing Down
title_full A Mathematical Realization of Entropy through Neutron Slowing Down
title_fullStr A Mathematical Realization of Entropy through Neutron Slowing Down
title_full_unstemmed A Mathematical Realization of Entropy through Neutron Slowing Down
title_sort mathematical realization of entropy through neutron slowing down
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2018-03-01
description 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.
topic entropy
elastic scattering
neutron slowing down
url http://www.mdpi.com/1099-4300/20/4/233
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AT domizianomostacci amathematicalrealizationofentropythroughneutronslowingdown
AT vincenzomolinari amathematicalrealizationofentropythroughneutronslowingdown
AT barryganapol mathematicalrealizationofentropythroughneutronslowingdown
AT domizianomostacci mathematicalrealizationofentropythroughneutronslowingdown
AT vincenzomolinari mathematicalrealizationofentropythroughneutronslowingdown
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