Influence of anisotropic scattering on the size of time-dependent systems in monoenergetic neutron transport

Criticality type eigenvalues of the one-speed transport equation in a homog eneous slab with anisotropic scattering and Marshak boundary conditions are considered. The connection between the transport equations for a critical and for a time-decaying system is established, and thus the time-dependent equation is reduced to the stationary one. Variation of the size of the tim e-dependent system with anisotropic scattering is studied numerically. Calc ulations for different combinations of the scattering parameters and the se lected values of the time decay constant using the PN method are reported. Results are discussed and compared with those already obtained using variou s methods available in the literature.