Abstract:
The impact of potential applied to the conductive surface of nanoporous membrane on the membrane potential at zero current is investigated theoretically on the basis of two–dimensional Space–charge model. The membrane separates two reservoirs with different salt concentrations. It is shown that the variation of applied potential from negative to positive values results in the continuous change of membrane selectivity from cation to anion. For equal ion diffusion coefficients, the dependence of membrane potential on the applied potential is an odd function, while for different ion diffusion coefficients it is shifted along the applied potential axis due to contribution of diffusion potential enhanced by the induced charge effect. The decrease of pore radius results in the increase of ionic selectivity and steep transition between cation–selective and anion–selective states when the applied potential is changing.
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".
Received: 25.03.2019 Received in revised form: 30.05.2019 Accepted: 02.07.2019
Bibliographic databases:
Document Type:
Article
UDC:
532.711+66.081.6
Language: English
Citation:
Ilya I. Ryzhkov, Anton S. Vyatkin, Maria I. Medvedeva, “Modelling of electrochemically switchable ion transport in nanoporous membranes with conductive surface”, J. Sib. Fed. Univ. Math. Phys., 12:5 (2019), 579–589
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\paper Modelling of electrochemically switchable ion transport in nanoporous membranes with conductive surface
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 5
\pages 579--589
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\crossref{https://doi.org/10.17516/1997-1397-2019-12-5-579-589}
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https://www.mathnet.ru/eng/jsfu795
https://www.mathnet.ru/eng/jsfu/v12/i5/p579
This publication is cited in the following 7 articles:
Artur I. Krom, Maria I. Medvedeva, Ilya I. Ryzhkov, “Modelling the ionic conductivity of nanopores with electrically conductive surface”, Zhurn. SFU. Ser. Matem. i fiz., 14:1 (2021), 74–86
A. I. Krom, I. I. Ryzhkov, “Ionic conductivity of nanopores with electrically conductive surface: comparison between 1D and 2D models”, Adv. Theory Simul., 4:10 (2021), 2100174
O. O. Nekrasov, B. L. Smorodin, “Effect of charge modulation on the electroconvective flow of a low conducting liquid”, Math. Model. Nat. Phenom., 16 (2021), 35
D. Lebedev, G. Malyshev, I. Ryzhkov, A. Mozharov, K. Shugurov, V. Sharov, M. Panov, I. Tumkin, P. Afonicheva, A. Evstrapov, A. Bukatin, I. Mukhin, “Focused ion beam milling based formation of nanochannels in silicon-glass microfluidic chips for the study of ion transport”, Microfluid. Nanofluid., 25:6 (2021), 51
I. I. Ryzhkov, M. A. Shchurkina, E. V. Mikhlina, M. M. Simunin, I. V. Nemtsev, “Switchable ionic selectivity of membranes with electrically conductive surface: theory and experiment”, Electrochim. Acta, 375 (2021), 137970
N. Tarabanko, V. E. Tarabanko, O. P. Taran, “Unidimensional approximation of the diffuse electrical layer in the inner volume of solid electrolyte grains in the absence of background ions”, ChemPhysChem, 21:17 (2020), 1925–1933
I. I. Ryzhkov, A. S. Vyatkin, E. V. Mikhlina, “Modelling of conductive nanoporous membranes with switchable ionic selectivity”, Membr. Membr. Technol., 2:1 (2020), 10–19
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