Similarity theory in neutron kinetics and its implications for RFNC—VNIIEF applied research

N.B. Babichev, P.S. Bondarev, V.P. Neznamov
All-Russian Scientific Research Institute of Experimental Physics — Federal Nuclear Centre, prosp. Mira 37, Sarov, Nizhny Novgorod region, 607190, Russian Federation

Exact similarity relations resulting from the neutron kinetic equation are presented. A number of eigenvalue problem solutions are obtained. Analytical solutions for the stationary and nonstationary formulations of the Milne problem are given.

PACS: 01.65.+g, 14.20.Dh (all)
DOI: 10.3367/UFNe.0181.201109b.0953
URL: https://ufn.ru/en/articles/2011/9/b/
Citation: Babichev N B, Bondarev P S, Neznamov V P "Similarity theory in neutron kinetics and its implications for RFNC—VNIIEF applied research" Phys. Usp. 54 919–929 (2011)

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Received: 22nd, December 2010, revised: 25th, February 2011, accepted: 3rd, March 2011

Оригинал: Бабичев Н Б, Бондарев П С, Незнамов В П «Теория подобия в нейтронной кинетике и её использование для решения прикладных задач РФЯЦ — ВНИИЭФ» УФН 181 953–963 (2011); DOI: 10.3367/UFNr.0181.201109b.0953