A hybrid kinetic-quantum model for stationary electron transport
type: Item
instance of: scholarly article
title: A hybrid kinetic-quantum model for stationary electron transport
zbMATH Open document ID: 0949.76075
DOI: 10.1023/A:1023216701688
author: Naoufel Ben Abdallah
published in: Journal of Statistical Physics
publication date: 1999-06-29T00:00:00Z
review text: Interface conditions between a classical transport model described by the Boltzmann equation, and a quantum transport model described by a set of Schrödinger equations are presented in a one-dimensional stationary formulation. These interface conditions, derived by an asymptotic analysis of Wigner transform, are shown to be flux-preserving, and are then used to construct a hybrid model consisting of a quantum zone surrounded by two classical ones. The author shows that the hybrid model is well-posed when the potential is either prescribed or computed self-consistently, and that the semiclassical limit of the problem gives the right interface conditions between two kinetic regions. The model can be used for the description of far-from-equilibrium electron transport in a resonant tunneling diode.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 82C10
zbMATH DE Number: 1279370
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: classical transport model
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: quantum transport model
zbMATH Keywords: interface conditions
zbMATH Keywords: asymptotic analysis
zbMATH Keywords: Wigner transform
zbMATH Keywords: hybrid model
zbMATH Keywords: semiclassical limit
zbMATH Keywords: far-from-equilibrium electron transport
zbMATH Keywords: resonant tunneling diode
reviewed by: Agneta M. Balint
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1279370