The functional form of nuclei decay in a thermal point-reactor within the particles' birth and death model

The functional form of nuclei decay in a thermal point-reactor within the particles' birth and death model

The functional form of nuclei decay for a finite number of particles within sub-Poisson distribution terms and time scale discretisation were considered. The mathematical apparatus for particles’ birth and death model with respect to the theory of a nuclear thermal point-reactor was made. During res...

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Main Authors: Kravchenko Maksim, Rudak Eduard, Korbut Tamara, Kuzmin Andrey, Petrovski Andrey
Format: Article
Language:English
Published: EDP Sciences 2019-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2019/06/epjconf_ayss18_08004.pdf
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spelling doaj-87792249f81b45309304afda68cea1d12021-08-02T01:25:25ZengEDP SciencesEPJ Web of Conferences2100-014X2019-01-012010800410.1051/epjconf/201920108004epjconf_ayss18_08004The functional form of nuclei decay in a thermal point-reactor within the particles' birth and death modelKravchenko Maksim0Rudak Eduard1Korbut Tamara2Kuzmin Andrey3Petrovski Andrey4The State Scientific Institution «The Joint Institute for Power and Nuclear Research – Sosny» of the National Academy of Sciences of BelarusThe State Scientific Institution «The Joint Institute for Power and Nuclear Research – Sosny» of the National Academy of Sciences of BelarusThe State Scientific Institution «The Joint Institute for Power and Nuclear Research – Sosny» of the National Academy of Sciences of BelarusThe State Scientific Institution «The Joint Institute for Power and Nuclear Research – Sosny» of the National Academy of Sciences of BelarusThe State Scientific Institution «The Joint Institute for Power and Nuclear Research – Sosny» of the National Academy of Sciences of BelarusThe functional form of nuclei decay for a finite number of particles within sub-Poisson distribution terms and time scale discretisation were considered. The mathematical apparatus for particles’ birth and death model with respect to the theory of a nuclear thermal point-reactor was made. During research the fundamental curves, the exponential dependence of neutron generation lifetime and state decay possibility were obtained for a thermal reactor breeding medium. Main parameter of a breeding (neutron multiplication factor K) was obtained through mathematical functions considered.https://www.epj-conferences.org/articles/epjconf/pdf/2019/06/epjconf_ayss18_08004.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Kravchenko Maksim
Rudak Eduard
Korbut Tamara
Kuzmin Andrey
Petrovski Andrey
spellingShingle Kravchenko Maksim
Rudak Eduard
Korbut Tamara
Kuzmin Andrey
Petrovski Andrey
The functional form of nuclei decay in a thermal point-reactor within the particles' birth and death model
EPJ Web of Conferences
author_facet Kravchenko Maksim
Rudak Eduard
Korbut Tamara
Kuzmin Andrey
Petrovski Andrey
author_sort Kravchenko Maksim
title The functional form of nuclei decay in a thermal point-reactor within the particles' birth and death model
title_short The functional form of nuclei decay in a thermal point-reactor within the particles' birth and death model
title_full The functional form of nuclei decay in a thermal point-reactor within the particles' birth and death model
title_fullStr The functional form of nuclei decay in a thermal point-reactor within the particles' birth and death model
title_full_unstemmed The functional form of nuclei decay in a thermal point-reactor within the particles' birth and death model
title_sort functional form of nuclei decay in a thermal point-reactor within the particles' birth and death model
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2019-01-01
description The functional form of nuclei decay for a finite number of particles within sub-Poisson distribution terms and time scale discretisation were considered. The mathematical apparatus for particles’ birth and death model with respect to the theory of a nuclear thermal point-reactor was made. During research the fundamental curves, the exponential dependence of neutron generation lifetime and state decay possibility were obtained for a thermal reactor breeding medium. Main parameter of a breeding (neutron multiplication factor K) was obtained through mathematical functions considered.
url https://www.epj-conferences.org/articles/epjconf/pdf/2019/06/epjconf_ayss18_08004.pdf
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AT korbuttamara thefunctionalformofnucleidecayinathermalpointreactorwithintheparticlesbirthanddeathmodel
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AT korbuttamara functionalformofnucleidecayinathermalpointreactorwithintheparticlesbirthanddeathmodel
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