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General Matter to build Kentucky enrichment plant under DOE lease
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G. C. Pomraning
Nuclear Science and Engineering | Volume 85 | Number 2 | October 1983 | Pages 188-191
Technical Note | doi.org/10.13182/NSE83-A27426
Articles are hosted by Taylor and Francis Online.
First-order perturbation formulas are derived that give the change in the eigenvalue of a reactive system due to a perturbation in the exterior shape of the system. In physical terms, this perturbation involves adding a thin layer of arbitrary material to the surface of the unperturbed system (or deleting material past a material discontinuity). From a mathematical viewpoint, the perturbation is sufficiently general to give rise to a nonanalytic behavior of the eigenvalue on the smallness parameter. Both transport theory and the diffusion approximation are treated.