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Journal of Siberian Federal University. Mathematics & Physics, 2021, Volume 14, Issue 1, Pages 74–86
DOI: https://doi.org/10.17516/1997-1397-2021-14-1-74-86
(Mi jsfu893)
 

Modelling the ionic conductivity of nanopores with electrically conductive surface

Artur I. Kroma, Maria I. Medvedevab, Ilya I. Ryzhkovab

a Institute of Computational Modelling of SB RAS, Krasnoyarsk, Russian Federation
b Siberian Federal University, Krasnoyarsk, Russian Federation
References:
Abstract: The ionic conductivity of nanopores with electrically conductive surface is investigated theoretically. The generalization of two-dimensional (2D) Space–charge model to calculating the ion transport under the applied potential gradient in a nanopore with constant surface potential is proposed for the first time. The results are compared with one-dimensional (1D) Uniform potential model, which is derived from the Space–charge model by assuming the independence of potential, ion concentrations, and pressure on the radial coordinate. We have found that the increase of surface potential magnitude leads to the enhancement of conductivity due to the increase of counter–ion concentration inside the nanopore. It is shown that the 1D and 2D models provide close results when the pore radius is smaller than the Debye length. Otherwise, the 1D model essentially overestimates the ionic conductivity. According to the 2D model, the ionic conductivity decreases with increasing the nanopore radius, while the 1D model predicts the opposite trend, which is not physically correct.
Keywords: nanopore, ionic conductivity, Space charge model, Uniform potential model.
Funding agency Grant number
Russian Foundation for Basic Research 18-48-242011
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1631
The reported study was funded by Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science, to the research project 18– 48–242011 "Mathematical modelling of synthesis and ionic transport properties of conductive nanoporous membranes". A. I. Krom is thankful for the support provided by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement no. 075-02-2020-1631).
Received: 18.07.2020
Received in revised form: 25.09.2020
Accepted: 05.11.2020
Bibliographic databases:
Document Type: Article
UDC: 532.711+66.081.6
Language: English
Citation: Artur I. Krom, Maria I. Medvedeva, Ilya I. Ryzhkov, “Modelling the ionic conductivity of nanopores with electrically conductive surface”, J. Sib. Fed. Univ. Math. Phys., 14:1 (2021), 74–86
Citation in format AMSBIB
\Bibitem{KroMedRyz21}
\by Artur~I.~Krom, Maria~I.~Medvedeva, Ilya~I.~Ryzhkov
\paper Modelling the ionic conductivity of nanopores with electrically conductive surface
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 1
\pages 74--86
\mathnet{http://mi.mathnet.ru/jsfu893}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-1-74-86}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000615268200009}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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