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The Shockley–Read–Hall model for generation-recombination of electron-hole pairs in semiconductors based on a quasi-stationary approximation for electrons in a trapped state is generalized to distributed trapped states in the forbidden band and to kinetic transport models for electrons and holes. The quasi-stationary limit is rigorously justified both for the drift-diffusion and for the kinetic model.
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Goudon et al. (2007) studied this question.
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