Diffusion approximation of nonlinear electron phonon collision mechanisms

P. A. Markowich; F. Poupaud; C. Schmeiser

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1995)

  • Volume: 29, Issue: 7, page 857-869
  • ISSN: 0764-583X

How to cite

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Markowich, P. A., Poupaud, F., and Schmeiser, C.. "Diffusion approximation of nonlinear electron phonon collision mechanisms." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 29.7 (1995): 857-869. <http://eudml.org/doc/193794>.

@article{Markowich1995,
author = {Markowich, P. A., Poupaud, F., Schmeiser, C.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {nonlinear electron phonon collision mechanisms; mean free path; fluid limit; Boltzmann equation; solid state physics; collision operators; drift diffusion model; Fermi-Dirac distribution},
language = {eng},
number = {7},
pages = {857-869},
publisher = {Dunod},
title = {Diffusion approximation of nonlinear electron phonon collision mechanisms},
url = {http://eudml.org/doc/193794},
volume = {29},
year = {1995},
}

TY - JOUR
AU - Markowich, P. A.
AU - Poupaud, F.
AU - Schmeiser, C.
TI - Diffusion approximation of nonlinear electron phonon collision mechanisms
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1995
PB - Dunod
VL - 29
IS - 7
SP - 857
EP - 869
LA - eng
KW - nonlinear electron phonon collision mechanisms; mean free path; fluid limit; Boltzmann equation; solid state physics; collision operators; drift diffusion model; Fermi-Dirac distribution
UR - http://eudml.org/doc/193794
ER -

References

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  1. [MRS] P. MARKOWICH, C. RlNGHOFER, C. SCHMEISER, 1989, Semiconductor Equations, Springer Verlag, Wien-New York. Zbl0765.35001
  2. [MS] P. MARKOWICH, C. SCHMEISER, In preparation. 
  3. [GP] F. GOLSE, F. POUPAUD, 1992, Limite fluide des équations de Boltzmann des semi-conducteurs pour une statistique de Fermi-Dirac, J. on Asympt. Analysis 6, pp. 135-160. Zbl0784.35084MR1193108
  4. [Maj1] A. MAJORANA, 1991, Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors, Trans. Th. and Stat Phys., 20, pp. 261-279. Zbl0800.76399MR1121715
  5. [Maj2] A. MAJORANA, 1993, Equilibrium solutions of the nonlinear Boltzmann equation for an electron gas in a semiconductor, Nuovo Cimento. To appear. 
  6. [PI] F. POUPAUD, 1994, Mathematical theory of kinetic equations for transport modelling in semiconductors in Advances in Kinetic Theory and Computing Series in Applied Mathematics, B. Perthame editor, World Scientific (Singapore). Zbl0863.76075MR1323182
  7. [PS] F. POUPAUD, C. SCHMEISER, 1991, Charge transport in semiconductors with degeneracy effects, Math. Meth. in the Appl. Sci, 14, pp. 301-318. Zbl0733.76062MR1113606

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