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Analysis of the drift-diffusion-Poisson-Boltzmann system for nanowire and nanopore sensors in the alternating-current regime

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Publication:1709657
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DOI10.4310/CMS.2017.v15.n8.a8zbMath1394.82027OpenAlexW2775176683MaRDI QIDQ1709657

Leila Taghizadeh, Clemens Heitzinger

Publication date: 6 April 2018

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2017.v15.n8.a8


zbMATH Keywords

existencelocal uniquenesscharge transportnanotechnologyfield-effect sensoralternating currentnanocapacitordrift-diffusion-Poisson-Boltzmann systemnanopore sensornanowire sensor


Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) Diffusion (76R50) Statistical mechanics of semiconductors (82D37) Motion of charged particles (78A35) Boltzmann equations (35Q20) Statistical mechanics of nanostructures and nanoparticles (82D80)


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Optimal multilevel randomized quasi-Monte-Carlo method for the stochastic drift-diffusion-Poisson system




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