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A Time-Dependent Finite Element Algorithm for Simulations of Ion Current Rectification and Hysteresis Properties of 3D Nanopore System
Xu, Jingjie1,2; Lu, Benzhuo2,3; Zhang, Linbo2,3
2018-05-01
Source PublicationIEEE TRANSACTIONS ON NANOTECHNOLOGY
ISSN1536-125X
Volume17Issue:3Pages:513-519
AbstractThis paper focuses on a three-dimensional (3-D) charged conical nanopore, vertically centered in a cuboid domain, with an action boundary condition set for the applied bias voltage on the upper surface. In order to study the time-dependent I-V characteristics, we use an algorithm consisting of the backward Euler method and the finite element method to solve the 3-D time-dependent Poisson-Nernst-Planck equations. An analytical solution with varying voltage is first used to test the reliability and accuracy of the algorithm. Then, the influence of the area of charged surface and the distance from the pore to outer boundary on ion current rectification are studied and qualitatively explained by analyzing the ion concentration and electrostatic field at the nanopore tip. Besides, the ionic current hysteresis phenomena is also observed in the numerical simulation.
Keyword3D nanopore analytical test backward Euler FEM ICR numerical simulation PNP equations varying voltage
DOI10.1109/TNANO.2018.2820028
Language英语
Funding ProjectNational Key Research and Development Program of China[2016YFB0201304] ; China NSF[91430215] ; China NSF[91530323] ; China NSF[11771435] ; China NSF[21573274] ; [SCP TZ2016003]
WOS Research AreaEngineering ; Science & Technology - Other Topics ; Materials Science ; Physics
WOS SubjectEngineering, Electrical & Electronic ; Nanoscience & Nanotechnology ; Materials Science, Multidisciplinary ; Physics, Applied
WOS IDWOS:000432203200023
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30348
Collection计算数学与科学工程计算研究所
Affiliation1.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Beijing 100864, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100864, Peoples R China
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Xu, Jingjie,Lu, Benzhuo,Zhang, Linbo. A Time-Dependent Finite Element Algorithm for Simulations of Ion Current Rectification and Hysteresis Properties of 3D Nanopore System[J]. IEEE TRANSACTIONS ON NANOTECHNOLOGY,2018,17(3):513-519.
APA Xu, Jingjie,Lu, Benzhuo,&Zhang, Linbo.(2018).A Time-Dependent Finite Element Algorithm for Simulations of Ion Current Rectification and Hysteresis Properties of 3D Nanopore System.IEEE TRANSACTIONS ON NANOTECHNOLOGY,17(3),513-519.
MLA Xu, Jingjie,et al."A Time-Dependent Finite Element Algorithm for Simulations of Ion Current Rectification and Hysteresis Properties of 3D Nanopore System".IEEE TRANSACTIONS ON NANOTECHNOLOGY 17.3(2018):513-519.
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