Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events

Arter, Wayne and Morgan, J. Guy and Relton, Samuel D. and Higham, Nicholas J. (2015) Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events. [MIMS Preprint]

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Abstract

Pathways-reduced analysis is one of the techniques used by the Fispact-II nuclear activation and transmutation software to study the sensitivity of the computed inventories to uncertainties in reaction cross-sections. Although deciding which pathways are most important is very helpful in for example determining which nuclear data would benefit from further refinement, pathways-reduced analysis need not necessarily define the most critical reaction, since one reaction may contribute to several different pathways. This work examines three different techniques for ranking reactions in their order of importance in determining the final inventory, viz. a pathways based metric (PBM), the direct method and one based on the Pearson correlation coefficient. Reasons why the PBM is to be preferred are presented.

Item Type:	MIMS Preprint
Uncontrolled Keywords:	matrix exponential, Frechet derivative, sensitivity analysis, nuclear activation, nuclear transmutation
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 34 Ordinary differential equations MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
Depositing User:	Dr Samuel Relton
Date Deposited:	19 May 2016
Last Modified:	08 Nov 2017 18:18
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/2472

Available Versions of this Item

• Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events. (deposited 26 Feb 2015)
  • Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events. (deposited 19 May 2016) [Currently Displayed]

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