Neutron diffusion as a random walk problem

The one-dimensional random walk problem has been generalized to allow for absorption at lattice sites, and then this technique has been used to study one velocity neutron diffusion. We show that most of the results that are normally obtained by solving the diffusion equation under appropriate boundary conditions, can be obtained directly. Various special cases have been considered, including leakage from a finite lattice and neutron-wave propagation in an infinite lattice.