Analysis of alpha modes in multigroup diffusion Article Swipe
Richard Sanchez
,
Daniele Tomatis
,
Igor Zmijarevic
,
Han Gyu Joo
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1016/j.net.2017.07.007
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.1016/j.net.2017.07.007
The alpha eigenvalue problem in multigroup neutron diffusion is studied with particular attention to the theoretical analysis of the model. Contrary to previous literature results, the existence of eigenvalue and eigenflux clustering is investigated here without the simplification of a unique fissile isotope or a single emission spectrum. A discussion about the negative decay constants of the neutron precursors concentrations as potential eigenvalues is provided. An in-hour equation is derived by a perturbation approach recurring to the steady state adjoint and direct eigenvalue problems of the effective multiplication factor and is used to suggest proper detection criteria of flux clustering. In spite of the prior work, the in-hour equation results give a necessary and sufficient condition for the existence of the eigenvalue-eigenvector pair. A simplified asymptotic analysis is used to predict bands of accumulation of eigenvalues close to the negative decay constants of the precursors concentrations. The resolution of the problem in one-dimensional heterogeneous problems shows numerical evidence of the predicted clustering occurrences and also confirms previous theoretical analysis and numerical results.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.net.2017.07.007
- OA Status
- diamond
- Cited By
- 5
- References
- 19
- Related Works
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- OpenAlex ID
- https://openalex.org/W2737120752
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https://openalex.org/W2737120752Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.net.2017.07.007Digital Object Identifier
- Title
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Analysis of alpha modes in multigroup diffusionWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2017Year of publication
- Publication date
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2017-07-25Full publication date if available
- Authors
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Richard Sanchez, Daniele Tomatis, Igor Zmijarevic, Han Gyu JooList of authors in order
- Landing page
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https://doi.org/10.1016/j.net.2017.07.007Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
- OA URL
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https://doi.org/10.1016/j.net.2017.07.007Direct OA link when available
- Concepts
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Eigenvalues and eigenvectors, Perturbation (astronomy), Cluster analysis, Neutron transport, Neutron, Mathematics, Statistical physics, Fissile material, Physics, Applied mathematics, Mathematical analysis, Quantum mechanics, StatisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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5Total citation count in OpenAlex
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2024: 1, 2023: 1, 2021: 2, 2020: 1Per-year citation counts (last 5 years)
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19Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| best_oa_location.license | cc-by-nc-nd |
| best_oa_location.pdf_url | |
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| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by-nc-nd |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Nuclear Engineering and Technology |
| best_oa_location.landing_page_url | https://doi.org/10.1016/j.net.2017.07.007 |
| primary_location.id | doi:10.1016/j.net.2017.07.007 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S82136278 |
| primary_location.source.issn | 1738-5733, 2234-358X |
| primary_location.source.type | journal |
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| primary_location.source.issn_l | 1738-5733 |
| primary_location.source.is_core | True |
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| primary_location.source.display_name | Nuclear Engineering and Technology |
| primary_location.source.host_organization | https://openalex.org/P4310320990 |
| primary_location.source.host_organization_name | Elsevier BV |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310320990 |
| primary_location.source.host_organization_lineage_names | Elsevier BV |
| primary_location.license | cc-by-nc-nd |
| primary_location.pdf_url | |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by-nc-nd |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Nuclear Engineering and Technology |
| primary_location.landing_page_url | https://doi.org/10.1016/j.net.2017.07.007 |
| publication_date | 2017-07-25 |
| publication_year | 2017 |
| referenced_works | https://openalex.org/W1770871076, https://openalex.org/W2053212644, https://openalex.org/W2467643893, https://openalex.org/W2024790820, https://openalex.org/W2157176560, https://openalex.org/W1596731693, https://openalex.org/W6602732925, https://openalex.org/W120481105, https://openalex.org/W2283371969, https://openalex.org/W2038175348, https://openalex.org/W851965336, https://openalex.org/W3003849172, https://openalex.org/W1542963040, https://openalex.org/W2592731152, https://openalex.org/W3147034027, https://openalex.org/W67259937, https://openalex.org/W1479696155, https://openalex.org/W1575147392, https://openalex.org/W2596399733 |
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| abstract_inverted_index.A | 48, 123 |
| abstract_inverted_index.a | 39, 44, 71, 111 |
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| abstract_inverted_index.In | 100 |
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| abstract_inverted_index.and | 29, 80, 89, 113, 163, 169 |
| abstract_inverted_index.for | 116 |
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| abstract_inverted_index.problem | 3, 150 |
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| cited_by_percentile_year.max | 95 |
| cited_by_percentile_year.min | 89 |
| corresponding_author_ids | https://openalex.org/A5109066318 |
| countries_distinct_count | 2 |
| institutions_distinct_count | 4 |
| corresponding_institution_ids | https://openalex.org/I139264467 |
| citation_normalized_percentile.value | 0.5265749 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |