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The time eigenvalue spectrum for nuclear reactors in multi-group diffusion theory

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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 reflector.

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Authors and Affiliations

  1. Politecnico di Torino, Dipartimento Energia, Corso Duca degli Abruzzi, 24, 10129, Torino, Italy

    S. Dulla & P. Ravetto

  2. INFN, Sezione di Torino, Via P. Giuria, 1, 10125, Torino, Italy

    S. Dulla & P. Ravetto

  3. INFN, Sezione di Genova, Via Dodecaneso, 33, 16146, Genova, Italy

    P. Saracco

  4. Centro Fermi, Piazza del Viminale, 1, 00184, Roma, Italy

    P. Saracco

Authors
  1. S. Dulla
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  2. P. Ravetto
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  3. P. Saracco
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Correspondence to P. Saracco.

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Dulla, S., Ravetto, P. & Saracco, P. The time eigenvalue spectrum for nuclear reactors in multi-group diffusion theory. Eur. Phys. J. Plus 133, 390 (2018). https://doi.org/10.1140/epjp/i2018-12245-1

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  • DOI: https://doi.org/10.1140/epjp/i2018-12245-1

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