A Stochastic Operator Method of Calculating the Time Interval Distributions in Neutron Detection
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概要
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An operator method has been applied to formulate probability distribution functions of neutron counts in a reactor. <BR>Assuming all statistical events occurring in the reactor to be Markovian, an operator representation of the no count probability for a given time interval is given. The basic equation for the probability is derived from the Kolmogorov-Chapman equation, and the formal solution obtained thereof. Approximate expressions are also given, for two types of detectors- absorption and fission. The effects of moments of order higher than the second are evaluated numerically.<BR>Further development of the operator calculus has yielded relations connecting the waiting time distribution and the interval distribution with the no count probability.
- 一般社団法人 日本原子力学会の論文
著者
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Sekiya Tamotsu
Department Of Nuclear Engineering Osaka University
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KURIHARA Kunitoshi
Department of Nuclear Engineering, Faculty of Engineering, Osaka University
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