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Maximum entropy moment system of the semiconductor Boltzmann equation using Kane's dispersion relation

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2005

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Romano, Vittorio

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http://nbn-resolving.de/urn:nbn:de:bsz:352-254081
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https://doi.org/10.1007/s00161-004-0201-5
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Continuum Mechanics and Thermodynamics. 2005, 17(3), pp. 247-267. ISSN 0935-1175. eISSN 1432-0959. Available under: doi: 10.1007/s00161-004-0201-5

Zusammenfassung

It is known that the maximum entropy moment systems of the gas-dynamical Boltzmann equation suffer from severe disadvantages which are related to the non-solvability of an underlying maximum entropy moment problem unless restrictions on the choice of the macroscopic variables are made. In this article, we show that no such difficulties appear in the semiconductor case if Kane’s dispersion relation is used for the energy band of electrons.

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510 Mathematik

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ISO 690JUNK, Michael, Vittorio ROMANO, 2005. Maximum entropy moment system of the semiconductor Boltzmann equation using Kane's dispersion relation. In: Continuum Mechanics and Thermodynamics. 2005, 17(3), pp. 247-267. ISSN 0935-1175. eISSN 1432-0959. Available under: doi: 10.1007/s00161-004-0201-5
BibTex
@article{Junk2005Maxim-25408,
  year={2005},
  doi={10.1007/s00161-004-0201-5},
  title={Maximum entropy moment system of the semiconductor Boltzmann equation using Kane's dispersion relation},
  number={3},
  volume={17},
  issn={0935-1175},
  journal={Continuum Mechanics and Thermodynamics},
  pages={247--267},
  author={Junk, Michael and Romano, Vittorio}
}
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