We develop a fully analytical study of the spectrum of the neutron diffusion operator both for spatially homogeneous and reflected reactors in a multi-group energy model. We illustrate and discuss the results of the analysis of the time spectrum of the diffusion operator, to highlight some general properties of the neutronic evolution in a multiplying system. Various new results are presented, particularly regarding the possible existence of complex time eigenvalues, the appearance of a continuum part of the spectrum and the orthogonality properties of the eigenfunctions in the case of an infinite reflecto
The time eigenvalue spectrum for nuclear reactors in multi-group diffusion theory / Dulla, S.; Ravetto, P.; Saracco, Paolo. - In: THE EUROPEAN PHYSICAL JOURNAL PLUS. - ISSN 2190-5444. - 133:9(2018). [10.1140/epjp/i2018-12245-1]
The time eigenvalue spectrum for nuclear reactors in multi-group diffusion theory
S. Dulla;P. Ravetto;SARACCO, PAOLO
2018
Abstract
We develop a fully analytical study of the spectrum of the neutron diffusion operator both for spatially homogeneous and reflected reactors in a multi-group energy model. We illustrate and discuss the results of the analysis of the time spectrum of the diffusion operator, to highlight some general properties of the neutronic evolution in a multiplying system. Various new results are presented, particularly regarding the possible existence of complex time eigenvalues, the appearance of a continuum part of the spectrum and the orthogonality properties of the eigenfunctions in the case of an infinite reflectoPubblicazioni consigliate
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https://hdl.handle.net/11583/2715299
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