APPLICATION OF EXTENDED KINETIC-THEORY TO PARTICLE-TRANSPORT WITH INELASTIC-SCATTERING

In the frame of extended kinetic theory, the linear Boltzmann equation for test particles in an absorbing and inelastically scattering backg round 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 con ditions, and the relevant problem is solved by a rigorous algorithm. A ccurate results for particle and energy distributions, and for transmi ssion, reflection, and absorption coefficients are provided and briefl y discussed.