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Abstract
Abstract In the analysis of many reactor experiments the exploitation of the information contained in the fluctuations represents a powerful approach for estimating relevant kinetic parameters together with their corlfidence intervals. In the present paper a discrete multi-energy, multi-point stochastic reactor model is proposed in which the system is fed with the neutrons coming from poissonian sources. This generalization of the usual one-velocity, one-point stochastic reactor model allows a better treatment of actual situations. In the framework of the Kolmogorov and Dmitriev theory of the branching stochastic processes with several kinds of particles, the forward differential equation for the kernel probability generating function of the state of the system at any time is obtained. This function is then related to that concerning the neutron probability distribution in space, energy and time; moreover the link between the present stochastic approach and that resulting from the transport equation in th...
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