Exactly solvable one-dimensional transport

The steady-state transport in a prism bounded by partially absorbing walls of emissivity e at temperatures T1 and T2 and containing fixed scattering centers is obtained exactly in the limit of sufficiently low temperature that only S-wave scattering is important and Boltzmann statistics are valid. The integro-differential equations are solved and boundary conditions satisfied by using the techniques of singular integral equations. The properties of the thermodynamic quantities are discussed