Time eigenvalues of the neutron - transport equation for fast, subcritical assemblies
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Date
1973
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
T.A.E.C. Çekmece Nuclear Research And Training Center
Abstract
The time decay constants characterizing the time behavior of a neutron pulse in a subcritical fast assembly are investigated by analyzing the time- eigenvalue spectrum of the transport operator for fast neutrons. To simplify this analysis, isotropic scattering was assumed, and a simple model of inelastic scattering was employed. By applying the techniques of functional analysis familiar from the study of the time-eigenvalue problem for thermal neutrons, it has been possible to classify the spectrum of the transport operator into the usual band spectrum for Re{s} ≤- λ*, where λ* is the minimum collision frequency, and a point spectrum in the region Re{s} > - λ* . It was demonstrated that this point spectrum was void for either sufficiently small assembly sizes or sufficiently small concentrations of fissile material.
Description
TENMAK D.N.. 8090
Keywords
Nuclear physics, Nükleer fizik, Neutrons, Nötronlar
Citation
Adalıoğlu, U. ve Duderstadt, J. J. (1973). Time eigenvalues of the neutron - transport equation for fast, subcritical assemblies. İstanbul : T.A.E.C. Çekmece Nuclear Research And Training Center.