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• W2564435241 abstract "In this paper, we rigorously derive a diffusion model for semiconductor superlattices, starting from a kinetic description of electron transport at the microscopic scale. Electron transport in the superlattice is modelled by a collisionless Boltzmann equation subject to a periodic array of localized scatters modeling the periodic heterogeneities of the material. The limit of a large number of periodicity cells combined with a large-time asymptotics leads to a homogenized diffusion equation which belongs to the class of so-called “SHE” models (for Spherical Harmonics Expansion). The rigorous convergence proof relies on fine estimates on the operator modeling the localized scatters." @default.
• W2564435241 created "2017-01-06" @default.
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• W2564435241 date "2003-01-01" @default.
• W2564435241 modified "2023-09-23" @default.
• W2564435241 title "Electron transport in semiconductor superlattices" @default.
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• W2564435241 doi "https://doi.org/10.1090/qam/1955228" @default.
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