STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION

The study of the steady-state solutions of neutron transport equation requires the introduction of appropriate eigenvalues: this can be done in various different ways by changing each of the operators in the transport equation; such modifications can be physically viewed as a variation of the corres...

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Main Authors: Saracco P., Abrate N., Burrone M., Dulla S., Ravetto P.
Format: Article
Language:English
Published: EDP Sciences 2021-01-01
Series:EPJ Web of Conferences
Subjects:
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2021/01/epjconf_physor2020_03018.pdf
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author Saracco P.
Abrate N.
Burrone M.
Dulla S.
Ravetto P.
author_facet Saracco P.
Abrate N.
Burrone M.
Dulla S.
Ravetto P.
author_sort Saracco P.
collection DOAJ
description The study of the steady-state solutions of neutron transport equation requires the introduction of appropriate eigenvalues: this can be done in various different ways by changing each of the operators in the transport equation; such modifications can be physically viewed as a variation of the corresponding macroscopic cross sections only, so making the different (generalized) eigenvalue problems non-equivalent. In this paper the eigenvalue problem associated to the time-dependent problem (α eigenvalue), also in the presence of delayed emissions is evaluated. The properties of associated spectra can give different insight into the physics of the problem.
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spelling doaj.art-0e9606bbb5e242cdbca906047d2504712022-12-21T18:39:57ZengEDP SciencesEPJ Web of Conferences2100-014X2021-01-012470301810.1051/epjconf/202124703018epjconf_physor2020_03018STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATIONSaracco P.0Abrate N.1Burrone M.2Dulla S.3Ravetto P.4I.N.F.N. – Sezione di Genova Via DodecanesoPolitecnico di Torino, Dipartimento Energia, NEMO group Corso Duca degli AbruzziPolitecnico di Torino, Dipartimento Energia, NEMO group Corso Duca degli AbruzziPolitecnico di Torino, Dipartimento Energia, NEMO group Corso Duca degli AbruzziPolitecnico di Torino, Dipartimento Energia, NEMO group Corso Duca degli AbruzziThe study of the steady-state solutions of neutron transport equation requires the introduction of appropriate eigenvalues: this can be done in various different ways by changing each of the operators in the transport equation; such modifications can be physically viewed as a variation of the corresponding macroscopic cross sections only, so making the different (generalized) eigenvalue problems non-equivalent. In this paper the eigenvalue problem associated to the time-dependent problem (α eigenvalue), also in the presence of delayed emissions is evaluated. The properties of associated spectra can give different insight into the physics of the problem.https://www.epj-conferences.org/articles/epjconf/pdf/2021/01/epjconf_physor2020_03018.pdfpn approximationeigenvalue spectratime eigenvaluecollision eigenvalueeffectivemultiplication parameter
spellingShingle Saracco P.
Abrate N.
Burrone M.
Dulla S.
Ravetto P.
STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION
EPJ Web of Conferences
pn approximation
eigenvalue spectra
time eigenvalue
collision eigenvalue
effective
multiplication parameter
title STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION
title_full STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION
title_fullStr STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION
title_full_unstemmed STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION
title_short STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION
title_sort study of the eigenvalue spectra of the neutron transport problem in pn approximation
topic pn approximation
eigenvalue spectra
time eigenvalue
collision eigenvalue
effective
multiplication parameter
url https://www.epj-conferences.org/articles/epjconf/pdf/2021/01/epjconf_physor2020_03018.pdf
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AT abraten studyoftheeigenvaluespectraoftheneutrontransportprobleminpnapproximation
AT burronem studyoftheeigenvaluespectraoftheneutrontransportprobleminpnapproximation
AT dullas studyoftheeigenvaluespectraoftheneutrontransportprobleminpnapproximation
AT ravettop studyoftheeigenvaluespectraoftheneutrontransportprobleminpnapproximation