Chapman-Enskog expansion and the quantum hydrodynamic model for semiconductor devices

Carl Gardner; Christian Ringhofer

doi:10.1155/2000/91289

Chapman-Enskog expansion and the quantum hydrodynamic model for semiconductor devices

Carl Gardner, Christian Ringhofer

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

A `smooth' quantum hydrodynamic (QHD) model for semiconductor devices is derived by a Chapman-Enskog expansion of the Wigner-Boltzmann equation which can handle in a mathematically rigorous way the discontinuities in the classical potential energy which occur at heterojunction barriers in quantum semiconductor devices. A dispersive quantum contribution to the heat flux term in the QHD model is introduced.

Original language	English (US)
Pages (from-to)	415-435
Number of pages	21
Journal	VLSI Design
Volume	10
Issue number	4
DOIs	https://doi.org/10.1155/2000/91289
State	Published - 2000

ASJC Scopus subject areas

Hardware and Architecture
Computer Graphics and Computer-Aided Design
Electrical and Electronic Engineering

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10.1155/2000/91289

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abstract = "A `smooth' quantum hydrodynamic (QHD) model for semiconductor devices is derived by a Chapman-Enskog expansion of the Wigner-Boltzmann equation which can handle in a mathematically rigorous way the discontinuities in the classical potential energy which occur at heterojunction barriers in quantum semiconductor devices. A dispersive quantum contribution to the heat flux term in the QHD model is introduced.",

author = "Carl Gardner and Christian Ringhofer",

year = "2000",

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AB - A `smooth' quantum hydrodynamic (QHD) model for semiconductor devices is derived by a Chapman-Enskog expansion of the Wigner-Boltzmann equation which can handle in a mathematically rigorous way the discontinuities in the classical potential energy which occur at heterojunction barriers in quantum semiconductor devices. A dispersive quantum contribution to the heat flux term in the QHD model is introduced.

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Chapman-Enskog expansion and the quantum hydrodynamic model for semiconductor devices

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