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

Abstract

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.

Citation

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

Information

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

zbMATH: 1296.82064
MathSciNet: MR2247934

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

Rights: Copyright © 2006 International Press of Boston

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Vol.4 • No. 3 • September 2006
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