Contributions to Books:
A. Jüngel, S. Krause, P. Pietra:
"Diffusive semiconductor moment equations using Fermi-Dirac statistics";
in: "ASC Report 33/2009",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2009,
ISBN: 978-3-902627-02-5.
English abstract:
Diffusive moment equations with an arbitrary number of moments
are formally derived from the semiconductor Boltzmann equation employing
a moment method and a Chapman-Enskog expansion. The moment equations
are closed by employing a generalized Fermi-Dirac distribution function
obtained from entropy maximization. The current densities allow for a
drift-diffusion-type formulation or a "symmetrized" formulation, using dual
entropy variables from nonequilibrium thermodynamics. Furthermore, driftdiffusion
and new energy-transport equations based on Fermi-Dirac statistics
are obtained and their degeneracy limit is studied.
Keywords:
Semiconductor Boltzmann equation, moment method, Fermi-Dirac
Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2009/asc33x2009.pdf
Created from the Publication Database of the Vienna University of Technology.