Energy‐Dependent Boltzmann Equation in the Fast Domain

Abstract

This work presents some aspects of the static energy‐dependent Boltzmann equation in plane geometry using a continuous‐energy formulation. In a first part, solutions are found for a class of synthetic separable (but nondegenerate) energy‐transfer kernels. Such kernels are representative, for instance, of neutron inelastic slowing down. In a second part, the same problem is considered with the addition of a projection kernel (typical of neutron fission); it is shown that the solutions split into space‐energy separable components and nonseparable ``slowing‐down transients.''