Analysis of the drift-diffusion-Poisson-Boltzmann system for nanowire and nanopore sensors in the alternating-current regime
type: Item
instance of: scholarly article
title: Analysis of the drift-diffusion-Poisson-Boltzmann system for nanowire and nanopore sensors in the alternating-current regime
zbMATH Open document ID: 1394.82027
author: Clemens Heitzinger
author: L. Taghizadeh
published in: Communications in Mathematical Sciences
publication date: 2018-04-06T00:00:00Z
review text: Many devices, especially sensors, like field-effect sensors, nanowire sensors, nanopore sensors, nanocapacitors can be used in the alternating-current (AC) regime. Anyway, the analysis of the AC case differs from the direct-current (DC) case and is based on extending transport models to the frequency domain and writing the variables as periodic functions of the frequency in a small-signal approximation. Here, the authors start from a general model for affinity based field-effect sensors, namely the transition drift-diffusion Poisson system coupled with the Poisson-Boltzmann equation. Assuming sufficiently low frequencies and sufficiently small signals, the model equations for the AC regime are derived based on the DC regime. The main results are existence and uniqueness for the AC model equations.
reviewed by: Yulianna Perepelkina
Mathematics Subject Classification ID: 82D80
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 35Q20
Mathematics Subject Classification ID: 82D37
Mathematics Subject Classification ID: 62P30
Mathematics Subject Classification ID: 78A35
zbMATH DE Number: 6856611
zbMATH Keywords: drift-diffusion-Poisson-Boltzmann system
zbMATH Keywords: existence
zbMATH Keywords: local uniqueness
zbMATH Keywords: charge transport
zbMATH Keywords: alternating current
zbMATH Keywords: field-effect sensor
zbMATH Keywords: nanowire sensor
zbMATH Keywords: nanocapacitor
zbMATH Keywords: nanopore sensor
zbMATH Keywords: nanotechnology
MaRDI profile type: Publication
full work available at URL: cms.2017.v15.n8.a8
OpenAlex ID: W2775176683
DOI: 10.4310/CMS.2017.V15.N8.A8
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description: scientific article; zbMATH DE number 6856611