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.

Text can be downloaded in Russian. English translation is available on IOP Science.

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