Criticality and Time Eigenvalues for One-Speed Neutrons in Infinite Cylinders

摘要

The transport equation for one-speed neutrons in an infinite cylinder in vacuum has been solved using the formalism of Sanchez and Ganapol. Fundamental and higher order eigenvalues were calculated for isotropic and linearly anisotropic scattering. From the real criticality eigenvalues the corresponding time-eigenvalues were evaluated. Also the real and complex values of the radii which give a decay constant at the Corngold limit were obtained. (ERA citation 13:046050)