Calculation of higher moments of the neutron multiplication process in a time-varying medium

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Fältnamn	Indikatorer	Metadata
000		04126naa a2200445 4500
001		oai:research.chalmers.se:0a627acd-f922-4461-92fe-4e0f12e82069
003		SwePub
008		171007s2007 \| \|\|\|\|\|\|\|\|\|\|\|000 \|\|eng\|
024	7	a https://research.chalmers.se/publication/419652 URI
024	7	a https://doi.org/10.1016/j.anucene.2007.02.0052 DOI
040		a (SwePub)cth
041		a engb eng
042		9 SwePub
072	7	a art2 swepub-publicationtype
072	7	a ref2 swepub-contenttype
100	1	a Kitamura, Yasunoriu Nagoya University4 aut
245	1 0	a Calculation of higher moments of the neutron multiplication process in a time-varying medium
264	1	b Elsevier BV,c 2007
520		a The zero-power reactor noise theory in a steady neutron multiplying medium was extended recently to a medium randomly varying in time to bridge the fields of the zero-power and the power reactor noise. For a time-varying medium in which the transition probability randomly fluctuates, only the use of the probability generating function technique based on the forward master equation approach is practical. However, with the forward master equation approach, the treatment of the joint moments of the neutron number and the medium state leads to a closure problem. Recently, the capability of the moment calculation technique for such cases was extended such that the closure problem could be solved exactly. The present paper describes and demonstrates this closure-free moment calculation technique in a time-varying binary multiplying medium, in which the medium state has two possible realizations. In addition to the first two moments of the neutron number N alone (irrespective of the medium state η), the joint moments of Nn and ηm, i.e., , were also obtained in a compact form for n = 1, 2 and arbitrary values of m, without a closure assumption. It was found that, for even m values, the asymptotic values of Nn and ηm are uncorrelated, whereas, for odd m values, they are negatively correlated, namely, their covariance is less than zero. The first two moments of the neutron number theoretically obtained were verified by the Monte Carlo technique. A perfect agreement was found between the Monte Carlo and the theoretical solutions. The closure-free moment calculation technique demonstrated in the present paper is expected to be applicable to various other problems related to the birth-and-death process with fluctuations of the transition probability, in which a closure problem occurs.
650	7	a TEKNIK OCH TEKNOLOGIERx Annan teknik0 (SwePub)2112 hsv//swe
650	7	a ENGINEERING AND TECHNOLOGYx Other Engineering and Technologies0 (SwePub)2112 hsv//eng
650	7	a TEKNIK OCH TEKNOLOGIERx Annan teknikx Övrig annan teknik0 (SwePub)211992 hsv//swe
650	7	a ENGINEERING AND TECHNOLOGYx Other Engineering and Technologiesx Other Engineering and Technologies not elsewhere specified0 (SwePub)211992 hsv//eng
650	7	a NATURVETENSKAPx Fysikx Annan fysik0 (SwePub)103992 hsv//swe
650	7	a NATURAL SCIENCESx Physical Sciencesx Other Physics Topics0 (SwePub)103992 hsv//eng
650	7	a TEKNIK OCH TEKNOLOGIERx Elektroteknik och elektronik0 (SwePub)2022 hsv//swe
650	7	a ENGINEERING AND TECHNOLOGYx Electrical Engineering, Electronic Engineering, Information Engineering0 (SwePub)2022 hsv//eng
653		a master equations
653		a Neutron fluctuations
653		a zero power reactor noise
653		a time-varying system
653		a joint moments
700	1	a Pazsit, Imre,d 1948u Chalmers tekniska högskola,Chalmers University of Technology4 aut0 (Swepub:cth)imre
700	1	a Yamamoto, Au Nagoya University4 aut
700	1	a Yamane, Yoshihirou Nagoya University4 aut
710	2	a Nagoya Universityb Chalmers tekniska högskola4 org
773	0	t Annals of Nuclear Energyd : Elsevier BVg 34:5, s. 385-395q 34:5<385-395x 0306-4549x 1873-2100
856	4	u http://dx.doi.org/10.1016/j.anucene.2007.02.005y FULLTEXT
856	4 8	u https://research.chalmers.se/publication/41965
856	4 8	u https://doi.org/10.1016/j.anucene.2007.02.005

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