1. STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION
- Author
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Piero Ravetto, Sandra Dulla, Paolo Saracco, M. Burrone, and Nicolò Abrate
- Subjects
Physics ,Neutron transport ,pn approximation ,eigenvalue spectra ,020209 energy ,QC1-999 ,Mathematical analysis ,collision eigenvalue ,02 engineering and technology ,time eigenvalue ,01 natural sciences ,Spectral line ,010305 fluids & plasmas ,multiplication parameter ,0103 physical sciences ,0202 electrical engineering, electronic engineering, information engineering ,effective ,Convection–diffusion equation ,Eigenvalues and eigenvectors ,Computer Science::Databases - Abstract
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.
- Published
- 2021