Steady states and interface transmission conditions for heterogeneous quantum-classical 1-D hydrodynamic model of semiconductor devices
type: Item
instance of: scholarly article
title: Steady states and interface transmission conditions for heterogeneous quantum-classical 1-D hydrodynamic model of semiconductor devices
zbMATH Open document ID: 1271.82029
author: Pierangelo Marcati
author: Bruno Rubino
author: Federica Di Michele
published in: Physica D
publication date: 2013-02-26T00:00:00Z
review text: The authors present a hybrid 1D quantum-classical transport model for semiconductors. In particular, they derive transmission conditions at the classical quantum interface. These conditions are derived under the assumptions that the scaled temperature of the device is constant and that there is a current jump at the interface. Heuristic explanations of the latter assumption are given on the base of the energy conservation. Because of the assumption on the current, solutions to the coupled systems of equations (classical and quantum) are piecewise smooth in the whole 1D space domain. Existence of solutions is proved and a simple linear stability analysis of the hybrid problem is proposed. Numerical simulations of a simple device are presented.
reviewed by: Giovanni Mascali
Mathematics Subject Classification ID: 82D37
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 82C70
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 6138867
zbMATH Keywords: mathematical models for semiconductors
zbMATH Keywords: hybrid model for semiconductors
zbMATH Keywords: quantum hydrodynamical models
zbMATH Keywords: transmission conditions
zbMATH Keywords: linear stability analysis
MaRDI profile type: Publication
full work available at URL: j.physd.2012.08.012
OpenAlex ID: W2015801028
Wikidata QID: Q58619714
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DOI: 10.1016/J.PHYSD.2012.08.012
description: scientific article; zbMATH DE number 6138867