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...
Main Authors: | , , , , |
---|---|
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 |
_version_ | 1819111133853777920 |
---|---|
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. |
first_indexed | 2024-12-22T03:52:47Z |
format | Article |
id | doaj.art-0e9606bbb5e242cdbca906047d250471 |
institution | Directory Open Access Journal |
issn | 2100-014X |
language | English |
last_indexed | 2024-12-22T03:52:47Z |
publishDate | 2021-01-01 |
publisher | EDP Sciences |
record_format | Article |
series | EPJ Web of Conferences |
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 |
work_keys_str_mv | AT saraccop studyoftheeigenvaluespectraoftheneutrontransportprobleminpnapproximation AT abraten studyoftheeigenvaluespectraoftheneutrontransportprobleminpnapproximation AT burronem studyoftheeigenvaluespectraoftheneutrontransportprobleminpnapproximation AT dullas studyoftheeigenvaluespectraoftheneutrontransportprobleminpnapproximation AT ravettop studyoftheeigenvaluespectraoftheneutrontransportprobleminpnapproximation |