Effective Parameter Method in Space-Dependent Neutron Slowing Down Problem

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概要

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• A solution of the space-dependent neutron slowing down equation is derived in terms of two effective parameters Σ(<I>z</I>, <I>u</I>) and ξ(<I>z</I>, <I>u</I>), which are shown to characterize the spatial and lethargy distributions, respectively. The expression thus obtained for the solution is quite simple, and permits easy understanding of the neutron transport phe-nomena, especially at large distances. The solution consists of two components-one representing the first few collisions between neutrons and atoms, the other correspond-ing to further collisions between them. The spatial distribution of the latter at large distances is mainly governed by that of the former.<BR>Thus, the problem reduces mainly to the evaluation of these two parameters. The parameters are proved, from both qualitative and quantitative considerations, to be smooth functions of the spatial variable. They can be approximated in terms of simple rational fractions of the spatial variable all over the space of interest. Hence, the moment-matching procedure can very effectively be applied to the determination of the coefficients included in the rational fractions.

• 一般社団法人 日本原子力学会の論文

著者

• Yamamoto Koji

  Department of Internal Medicine, Hattori Memorial Hospital

• Kitazoe Yasuhiro

  Department Of Nuclear Engineering Osaka University

• Sekiya Tamotsu

  Department Of Nuclear Engineering Osaka University

• Yamamura Yasunori

  Department Of Applied Physics Faculty Of Science Okayama University Of Science

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