Ising models of charge storage in multifile metallic nanopores.
File(s)Zaboronsky_2020_J._Phys.__Condens._Matter_32_275201.pdf (1.28 MB)
Published version
Author(s)
Zaboronsky, AO
Kornyshev, AA
Type
Journal Article
Abstract
Ising type models of charging of conductive nanopores with ions have already been proposed and investigated for single file cylindrical or single layer slit nanopores. In such pores, the state of ions, the coulombic interactions of which are exponentially screened by their images in pore walls, was named superionic. In the present work we extend the analysis of the superionic state to nanopores that can accommodate multiple rows of ions. By grouping multiple charges in the same row into 'supercharges', we map the arrangement of ions in polarised electrodes on a multi-row Ising model in an external field. We investigate one-, two- and three-row cases, which we solve exactly, using a purpose-built semi-numerical transfer matrix method. For pores of different radii, which can accommodate the corresponding number of ion rows, we calculate the dependence of the electrical capacitance and stored energy density on electrode potential. As in charging the single file pores, we find that in narrower pores higher energy densities can be achieved at low applied potentials, while wider pores perform better as the voltage is increased.
Date Issued
2020-04-07
Date Acceptance
2020-02-17
Citation
Journal of Physics: Condensed Matter, 2020, 32 (27), pp.1-12
ISSN
0953-8984
Publisher
IOP Publishing
Start Page
1
End Page
12
Journal / Book Title
Journal of Physics: Condensed Matter
Volume
32
Issue
27
Copyright Statement
Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence (https://creativecommons.org/licenses/by/4.0/). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Identifier
https://www.ncbi.nlm.nih.gov/pubmed/32254047
Subjects
Fluids & Plasmas
0204 Condensed Matter Physics
0912 Materials Engineering
1007 Nanotechnology
Publication Status
Published online
Coverage Spatial
England
Date Publish Online
2020-04-07