Abstract
A 'one collision operator' is introduced, which expresses the macroscopic-stochastic existence of neutrons in a multiplying system. Using this 'one collision operator', the one-time doublet Boltzmann equation considered by Osborn, et al. is extended in the form of a two-time doublet Boltzmann equation. As an application of the two-time doublet Boltzmann equation, we discuss a method of analyzing the neutron fluctuations in a simple reactor model. In the Rossi-α experiment in the one point model with an infinitely small detector, the amplitude of the main correlation term is reduced in magnitude by half as compared to the corresponding term derived by Orndoff, There has further been found an additional correlation term that decays faster than the main term. We will also discuss the minimum width for a detector to disturb the neutron fluctuations.
