Non-linear dynamics of semiconductor superlattices

LL Bonilla, HT Grahn - Reports on Progress in Physics, 2005 - iopscience.iop.org
In the last decade, non-linear dynamical transport in semiconductor superlattices (SLs) has
witnessed significant progress in theoretical descriptions as well as in experimentally …

On a hierarchy of macroscopic models for semiconductors

NB Abdallah, P Degond - Journal of Mathematical Physics, 1996 - pubs.aip.org
This paper shows that various models of electron transport in semiconductors that have
been previously proposed in the literature can be connected one with each other by the …

An energy-transport model for semiconductors derived from the Boltzmann equation

N Ben Abdallah, P Degond, S Génieys - Journal of statistical physics, 1996 - Springer
An energy-transport model is rigorously derived from the Boltzmann transport equation of
semiconductors under the hypothesis that the energy gain or loss of the electrons by the …

[PDF][PDF] Mathematical modelling of microelectronics semiconductor devices

P Degond - AMS IP STUDIES IN ADVANCED MATHEMATICS, 2000 - Citeseer
This paper rst reviews some basic facts about electron transport in semiconductor materials.
Then, it develops several macroscopic models from the di usion approximation of the …

High field approximations to a Boltzmann-Poisson system and boundary conditions in a semiconductor

C Cercignani, IM Gamba, CD Levermore - Applied Mathematics Letters, 1997 - Elsevier
High Field Approximations to a Boltzmann-Poisson System and Boundary Conditions in a
Semiconductor Page 1 Pergamon Appl. Math. Left. Vol. 10, No. 4, pp. Ul-llT, 1997 Copyright©1997 …

Macroscopic models for semiconductor heterostructures

P Degond, C Schmeiser - Journal of Mathematical Physics, 1998 - pubs.aip.org
The semiconductor Boltzmann equation is considered within a material with a space-
dependent band characteristic. Its fluid limit under strong elastic collisions leads to the so …

High field approximations of the spherical harmonics expansion model for semiconductors

N Ben Abdallah, P Degond, P Markowich… - … Mathematik und Physik …, 2001 - Springer
We present an asymptotic analysis (with the scaled mean free path as small parameter) of
the spherical-harmonics expansion (SHE-) model for semiconductors in the case of a large …

Kinetic boundary layers and fluid-kinetic coupling in semiconductors

P Degond, C Schmeiser - Transport theory and statistical physics, 1999 - Taylor & Francis
The semiconductor Boltzmann equation with elastic collisions as the dominating scattering
effects is considered. For the corresponding fluid limit, the spherical harmonics expansion …

A drift-collision balance for a Boltzmann--Poisson system in bounded domains

C Cercignani, IM Gamba, CD Levermore - SIAM Journal on Applied …, 2001 - SIAM
We consider a low density approximation to a Boltzmann--Poisson system for electrons in a
semiconductor in regimes where strong forcing balances the collision terms. We compute …

Kinetic theory of high-field transport in semiconductors

E Bringuier - Physical Review B, 1998 - APS
The paper deals with electron transport in a semiconductor of arbitrary band structure and
electron-phonon interaction, subjected to a high, but not necessarily homogeneous, electric …