Open Access
September 2006 Adiabatic quantum-fluid transport models
Naoufel Ben Abdallah, Florian Méhats, Claudia Negulescu
Commun. Math. Sci. 4(3): 621-650 (September 2006).


Coupled quantum-fluid models are derived by means of a diffusion approximation from adiabatic quantum-kinetic models. These models describe the electron transport of a bidimensional electron gas. Particles are confined in one direction (denoted by $z$) while transport occurs in an orthogonal direction (denoted by $x$). The length-scale in the $z$ direction is comparable to the de Broglie wavelength, while the $x$-length scale is much bigger. The aim of this paper is to investigate the diffusion limit from quantum-kinetic to quantum-fluid models, which are numerically more interesting. Transitions between sub-bands are considered in the Fermi Golden rule setting.


Download Citation

Naoufel Ben Abdallah. Florian Méhats. Claudia Negulescu. "Adiabatic quantum-fluid transport models." Commun. Math. Sci. 4 (3) 621 - 650, September 2006.


Published: September 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1296.82064
MathSciNet: MR2247934

Primary: 82D37
Secondary: 76X05 , 76Y05 , 78A35 , 82B40

Keywords: Boltzmann equation , collision operator , diffusion limit , energy-transport model , Schrödinger equation , spherical harmonic expansion model , subband model

Rights: Copyright © 2006 International Press of Boston

Vol.4 • No. 3 • September 2006
Back to Top