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**Harvard**

Williams, M. och Pázsit, I. (2015) *The time dependence of the extinction probability with delayed neutrons*.

** BibTeX **

@article{

Williams2015,

author={Williams, M. M. R. and Pázsit, Imre},

title={The time dependence of the extinction probability with delayed neutrons},

journal={Annals of Nuclear Energy},

issn={0306-4549},

volume={75},

pages={107-115},

abstract={The calculation of the time-dependent extinction probability (EP) in an infinite medium of fissile material is calculated including delayed neutrons. This extension of the model reveals some interesting consequences, one of which is the appearance of an initial plateau in the EP in the range 10(-6) to 10(-4) s which is significantly less than the final asymptotic plateau value reached as time tends to infinity; i.e. the steady state EP. This steady state is delayed by the presence of the delayed neutrons by a time of the order of 3/lambda (similar to 36 s) where lambda is the mean decay constant of the precursors. The presence of the initial plateau is due specifically to delayed neutrons and has not been commented on before. Several other situations are considered, with differing initial conditions, and are illustrated by numerical results.},

year={2015},

keywords={Extinction probability, Generating function, Delayed neutrons },

}

** RefWorks **

RT Journal Article

SR Electronic

ID 213130

A1 Williams, M. M. R.

A1 Pázsit, Imre

T1 The time dependence of the extinction probability with delayed neutrons

YR 2015

JF Annals of Nuclear Energy

SN 0306-4549

VO 75

SP 107

OP 115

AB The calculation of the time-dependent extinction probability (EP) in an infinite medium of fissile material is calculated including delayed neutrons. This extension of the model reveals some interesting consequences, one of which is the appearance of an initial plateau in the EP in the range 10(-6) to 10(-4) s which is significantly less than the final asymptotic plateau value reached as time tends to infinity; i.e. the steady state EP. This steady state is delayed by the presence of the delayed neutrons by a time of the order of 3/lambda (similar to 36 s) where lambda is the mean decay constant of the precursors. The presence of the initial plateau is due specifically to delayed neutrons and has not been commented on before. Several other situations are considered, with differing initial conditions, and are illustrated by numerical results.

LA eng

DO 10.1016/j.anucene.2014.07.034

LK http://dx.doi.org/10.1016/j.anucene.2014.07.034

OL 30