Garibotti, C. R.; Spiga, G. Boltzmann equation for inelastic scattering. (English) Zbl 0834.45011 J. Phys. A, Math. Gen. 27, No. 8, 2709-2717 (1994). Summary: We develop a formalism for the introduction of inelastic collision processes in the Boltzmann equation. This is equivalent to including participant species with internal degrees of freedom. We consider a two- species mixture, where one of the particles has two allowed internal energy states. We analyse the resulting evolution equations and find exact solutions for interaction models associated with electron and neutron transport. Cited in 14 Documents MSC: 45K05 Integro-partial differential equations 82C40 Kinetic theory of gases in time-dependent statistical mechanics 82C70 Transport processes in time-dependent statistical mechanics Keywords:transport of neutrons and electrons in gases; inelastic collision processes; Boltzmann equation; evolution equations; neutron transport PDFBibTeX XMLCite \textit{C. R. Garibotti} and \textit{G. Spiga}, J. Phys. A, Math. Gen. 27, No. 8, 2709--2717 (1994; Zbl 0834.45011) Full Text: DOI