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.

Semiconductor Boltzmann equation, moment method, Fermi-Dirac

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.