The aim of this study is the theoretical investigation of transport properties in non-equilibrium plasmas, taking into account the influence of electromagnetic fields. The formalism of generalized Chapman-Enskog method based on the hierarchy of characteristic times of various collision processes is used to provide a closed description of kinetics, dynamics and transport phenomena in a partially ionized gas with non-equilibrium ionization reactions. Distribution functions, governing equations, transport and production terms are derived in the zero and the first-order approximations of the Chapman-Enskog method corresponding to inviscid non-conductive and viscous conductive flows respectively.
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