On the Relation Between Decay Constants and Critical Parameters in Monoenergetic Neutron Transport

E. B. Dahl; V. Protopopescu; N. G. Sj&ouml;strand

doi:dx.doi.org/10.13182/NSE83-A17570

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Home / Publications / Journals / Nuclear Science and Engineering / Volume 83 / Number 3

On the Relation Between Decay Constants and Critical Parameters in Monoenergetic Neutron Transport

E. B. Dahl, V. Protopopescu, N. G. Sjöstrand

Nuclear Science and Engineering / Volume 83 / Number 3 / March 1983 / Pages 374-379

Technical Paper / dx.doi.org/10.13182/NSE83-A17570

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The transport of monoenergetic neutrons in slabs and spheres with vacuum boundary conditions is studied. Isotropic scattering is assumed. The connection between the eigenvalues arising from the time-dependent and the stationary transport equation is established. Based on this, numerical values for the fundamental and higher order time eigenvalues are given. Finally, the more complicated case of anisotropic scattering is discussed.