The Criticality Problem for the Anisotropic Scattering with Two Discrete Eigenvalues

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Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor & Francis Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In a recent study, the eigenvalue numbers of Case eigenfunctions were investigated for the situation of anisotropic scattering. The results of this study is applied to the criticality problem. The investigation is performed with two different methods: the singular value decomposition (SVD) method and the HN method. The former was recently improved using the SVD to solve the matrix of the problem, and the latter is based on the usage of the Case method for proper boundary conditions. We have two different eigenvalues for the given number of secondary neutrons and the scattering parameter. Either these eigenvalues are both complex, or one is complex and one is real. The investigation is to show the effect of the second eigenvalues over the critical thickness values.

Açıklama

Anahtar Kelimeler

Criticality problem; Legendre expansion of scattering; secondary discrete eigenvalues; SVD method; H-N method

Kaynak

Journal of Computational and Theoretical Transport

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

53

Sayı

6

Künye