An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing

An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing

We propose a numerical scheme that narrows down the momentum domain of the Wigner function to enhance numerical efficiency. It enables us to decrease the number of mesh points while maintaining the same mesh spacing in the momentum coordinate. The proposed scheme thus not only requires less memory b...

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Main Authors: Kyoung-Youm Kim, Jungho Kim, Saehwa Kim
Format: Article
Language:English
Published: AIP Publishing LLC 2016-06-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4954237
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spelling doaj-83f77d85df1c4f44a36bcc33b46f74972020-11-24T23:29:15ZengAIP Publishing LLCAIP Advances2158-32262016-06-0166065314065314-710.1063/1.4954237053606ADVAn efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowingKyoung-Youm Kim0Jungho Kim1Saehwa Kim2Department of Electrical Engineering, Sejong University, Seoul 05006, KoreaDepartment of Information Display, Kyung Hee University, Seoul 02447, KoreaDepartment of Information and Communications Engineering, Hankuk University of Foreign Studies, Gyeonggi-Do 17035, KoreaWe propose a numerical scheme that narrows down the momentum domain of the Wigner function to enhance numerical efficiency. It enables us to decrease the number of mesh points while maintaining the same mesh spacing in the momentum coordinate. The proposed scheme thus not only requires less memory but can significantly reduce the computation time. To minimize resultant loss of numerical accuracy, we also propose the partial local potential averaging method.http://dx.doi.org/10.1063/1.4954237
collection DOAJ
language English
format Article
sources DOAJ
author Kyoung-Youm Kim
Jungho Kim
Saehwa Kim
spellingShingle Kyoung-Youm Kim
Jungho Kim
Saehwa Kim
An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing
AIP Advances
author_facet Kyoung-Youm Kim
Jungho Kim
Saehwa Kim
author_sort Kyoung-Youm Kim
title An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing
title_short An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing
title_full An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing
title_fullStr An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing
title_full_unstemmed An efficient numerical scheme for the discrete Wigner transport equation via the momentum domain narrowing
title_sort efficient numerical scheme for the discrete wigner transport equation via the momentum domain narrowing
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2016-06-01
description We propose a numerical scheme that narrows down the momentum domain of the Wigner function to enhance numerical efficiency. It enables us to decrease the number of mesh points while maintaining the same mesh spacing in the momentum coordinate. The proposed scheme thus not only requires less memory but can significantly reduce the computation time. To minimize resultant loss of numerical accuracy, we also propose the partial local potential averaging method.
url http://dx.doi.org/10.1063/1.4954237
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