Abstract

This paper is the second of two which deal with the moments of the bivariate distribution of the neutrons and counts in a subcritical multiplying system. Following the forward Kolmogorov formalism, the expressions for the joint factorial moments of any order have been obtained for the case of an external Poissonian neutron source with time dependent mean value. The results are rigorous in the sense that no use is made of the quadratic approximation for the probability generating function of the neutrons emitted per fission. Several computations relating to a subcritical system in different steady state conditions have been performed. The results indicate that, at least in the examined cases, the relative errors between the exact moments and those obtained making use of the quadratic approximation are always rather small. Moreover a single linear relation between the error and the order of the moment has been established.

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