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Boltzmann equation for inelastic scattering. (English) Zbl 0834.45011

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.

MSC:

45K05 Integro-partial differential equations
82C40 Kinetic theory of gases in time-dependent statistical mechanics
82C70 Transport processes in time-dependent statistical mechanics
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