The Extinction Probabilities of Nuclear Assemblies: A Sensitivity Study
Ramsey, Scott Douglas
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https://hdl.handle.net/2142/85921
Description
Title
The Extinction Probabilities of Nuclear Assemblies: A Sensitivity Study
Author(s)
Ramsey, Scott Douglas
Issue Date
2009
Doctoral Committee Chair(s)
Axford, Roy A.
Department of Study
Nuclear Engineering
Discipline
Nuclear Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, Nuclear
Language
eng
Abstract
It is thus the purpose of this work to investigate the nature of input parameter variation-induced effects on the extinction probabilities of certain types of nuclear assemblies. A broadly defined class of mathematical analysis techniques known as sensitivity analysis (and in particular, a theoretical construct known as the Gâteaux-variation) will be employed to calculate these effects. The analysis will be left as general as possible within the context of a clean, stochastic point model, though examples of interest to the consideration of fast reactors near start-up time will also be considered. In addition to providing situation-specific information regarding input parameter influence on the start-up behavior of fast reactors, the primary goal of this work is to maximize the usefulness of the generalized developments as applied to other potential problem classes of interest.
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