Telegrapher’s Equation Analysis of the Cooling Effect of a Cavity on the Fast Neutron Spectra

The effects of the presence of a central cavity on the space- and time-dependent neutron energy spectrum in a fast-neutron multiplying system are analyzed as a fundamental time eigenvalue problem by use of the telegrapher’s equation. The computational results show that the cavity cooling occurs in the fast ²³⁵U system with a fundamental time eigenvalue. The results of the telegrapher’s equation are compared with those from the time-dependent S_n method.