Publications in Scientific Journals:

A. Jüngel, S. Krause, P. Pietra:
"Diffusive semiconductor moment equations using Fermi-Dirac statistics";
Zeitschrift für Angewandte Mathematik und Physik, 62 (2011), 623 - 639.

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, drift-diffusion and new energy-transport equations based on Fermi-Dirac statistics are
obtained and their degeneracy limit is studied.

German abstract:
Siehe englisches Abstract.

Boltzmann transport equation; moment method; entropy maximization

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

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