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- W1987014592 abstract "In this paper we consider the probability distribution of the number of neutrons and delayed neutron precursors in a multiplying assembly. Particular emphasis is placed on the probability distribution for a system which is brought to a supercritical state in the presence of a neutron source which is so weak that deviations from the average population may be large. A space independent model is used with one group of neutrons. The problem is formulated in terms of the probability distribution generating function which satisfies a partial differential equation, derived in Section I. Its solution is attempted by the method of characteristics and general properties of the characteristic curves and the solution are discussed. In Section II, the method is applied to a system without delayed neutrons, and, for a constant source, the generating function and probability distribution are found. We next consider simplifications that are possible when the neutron lifetime is very short compared to precursor lifetimes. In Section III the multiplication of precursors is treated in a short neutron lifetime model for a system which is below prompt critical. For a single group of precursors and constant reactivity, the generating function is derived. The short neutron lifetime model is extended, in Section IV, to a system above prompt critical, and again we find the generating function in a simple case. Finally, in Section V the results of our calculations are compared with some experiments on Godiva and good qualitative agreement is shown." @default.
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- W1987014592 date "1963-02-01" @default.
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- W1987014592 title "Probability distribution of neutrons and precursors in a multiplying assembly" @default.
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- W1987014592 doi "https://doi.org/10.1016/0003-4916(63)90108-8" @default.
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