The Variational Method for Asymptotic Neutron Densities

Abstract

Inhomogeneous integral equations connected with a certain class of neutron diffusion problems are treated by means of a variational method. It is shown how to obtain quite accurate values of the asymptotic neutron density in the following three cases: (a) Milne's problem for the plane, (b) infinite scattering medium surrounding black spherical core, (c) infinite scattering medium surrounding black spherical core with air gap.