EPJ Web Conf.
Volume 247, 2021PHYSOR2020 – International Conference on Physics of Reactors: Transition to a Scalable Nuclear Future
|Number of page(s)||8|
|Published online||22 February 2021|
STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION
1 I.N.F.N. – Sezione di Genova Via Dodecaneso, 33 16146 Genova, ( Italy )
2 Politecnico di Torino, Dipartimento Energia, NEMO group Corso Duca degli Abruzzi, 24 - 10129 Torino ( Italy )
Published online: 22 February 2021
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.
Key words: PN approximation / eigenvalue spectra / time eigenvalue / collision eigenvalue / effective / multiplication parameter
© The Authors, published by EDP Sciences, 2021
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