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Electron-phonon hydrodynamical model for semiconductors

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Abstract

A hydrodynamical model for the electron-phonon system in semiconductor is developed by closing the moment system arising from the coupled Boltzmann equations for electrons and phonons with the maximum entropy principle. Limiting models are obtained under appropriate scaling, and comparisons with the existing models of charge transport in semiconductors including the thermal effects of the crystal lattice are presented.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, I-95125, Catania, Italy

    V. Romano & M. Zwierz

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  1. V. Romano
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  2. M. Zwierz
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Correspondence to V. Romano.

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Romano, V., Zwierz, M. Electron-phonon hydrodynamical model for semiconductors. Z. Angew. Math. Phys. 61, 1111–1131 (2010). https://doi.org/10.1007/s00033-010-0089-9

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  • DOI: https://doi.org/10.1007/s00033-010-0089-9

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