Application of extended kinetic theory to particle transport with inelastic scattering

摘要

In the frame of extended kinetic theory, the linear Boltzmann equation for test parti-cles in an absorbing and inelastically scattering background leads to a partial-integral-difference equation which is studied in the proper mathematical setting. As an application, penetration of a beam of particles in a plane slab is considered in steady state conditions, and the relevant problem is solved by a rigorous algorithm. Accurate results for particle and energy distributions, and For transmission, reflection, and absorption coefficients are provided and briefly discussed.