On the Zero-Neutron Density in Stochastic Nuclear Dynamics
dc.contributor.author | Vadillo Arroyo, Fernando | |
dc.date.accessioned | 2021-12-27T11:23:39Z | |
dc.date.available | 2021-12-27T11:23:39Z | |
dc.date.issued | 2021-11-04 | |
dc.identifier.citation | Dynamics 1(2) : 198-203 (2021) | es_ES |
dc.identifier.issn | 2673-8716 | |
dc.identifier.uri | http://hdl.handle.net/10810/54741 | |
dc.description.abstract | In this short paper, we compare the deterministic model for the nuclear reactor dynamic (Hetrick, 1993) with the stochastic model (Kinard and Allen, 2004). Our numerical results show coincidences between the deterministic model and the mean of the stochastic paths, although, as already observed by other authors, there is alarge amount of dispersion between the individual paths. Notably, we always observe that the neutron density approaches zero within a short time. In this paper, we investigate this question; more concretely, we study the mean-extinction of the neutron density. The technique used here first builds the backward Kolmogorov differential equation and then solves it numerically using the finite-element method with FreeFem++. Our results confirm that in a very short time the neutrons disappear although later they recover probably due to the external source. | es_ES |
dc.description.sponsorship | This work was supported by Spanish Ministry of Sciences Innovation and Universities with the project PGC2018-094522-B-100 and by the Basque Government with the project IT1247-19. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation | info:eu-repo/grantAgreement/MCIU/PGC2018-094522-B-100 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | |
dc.subject | stochastic diffusion equations | es_ES |
dc.subject | neutron density variance | es_ES |
dc.subject | euler–maruyama method | es_ES |
dc.subject | finite-element method | es_ES |
dc.title | On the Zero-Neutron Density in Stochastic Nuclear Dynamics | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2021-12-23T15:06:24Z | |
dc.rights.holder | © 2021 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2673-8716/1/2/12 | es_ES |
dc.identifier.doi | 10.3390/dynamics1020012 | |
dc.departamentoes | Matemáticas | |
dc.departamentoeu | Matematika |
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Except where otherwise noted, this item's license is described as © 2021 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).