Two-Time Doublet Boltzmann Equation in Reactor Kinetics and Its Applications

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概要

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• 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.

• 一般社団法人 日本原子力学会の論文

著者

• TAJI Yukichi

  Division of Power Reactor Development, Japan Atomic Energy Research Institute

関連論文

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• The Boltzmann Equation with an Average Force Field Caused by Anisotropic Momentum Changes
• Two-Time Doublet Boltzmann Equation in Reactor Kinetics and Its Applications

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