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2015.17: Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events

2015.17: Wayne Arter, J. Guy Morgan, Samuel D. Relton and Nicholas J. Higham (2015) Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events.

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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 2000 > 34 Ordinary differential equations
MSC 2000 > 65 Numerical analysis
MIMS number:2015.17
Deposited By:Dr Samuel Relton
Deposited On:19 May 2016

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