https://doi.org/10.1051/epjconf/202124703018
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 )
paolo.saracco@ge.infn.it
nicolo.abrate@polito.it
sandra.dulla@polito.it
piero.ravetto@polito.it
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
