It has recently been suggested that a breakdown of electroneutrality occurs in highly confined nanopores that are encompassed by a dielectric material. This work elucidates the conditions for this breakdown. We show that the breakdown within the pore results from the response of the electric field within the dielectric. Namely, we show that this response is highly sensitive to the boundary condition at the dielectric edge. The standard Neumann boundary condition of no-flux predicts that the breakdown does not occur. However, a Dirichlet boundary condition for a zero-potential predicts a breakdown. Within this latter scenario, the breakdown exhibits a dependence on the thickness of the dielectric material. Specifically, infinite thickness dielectrics do not exhibit a breakdown, while dielectrics of finite thickness do exhibit a breakdown. Numerical simulations confirm theoretical predictions. The breakdown outcomes are discussed with regard to single pore systems and multiple pore systems.
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14 November 2021
Research Article|
November 08 2021
Conditions for electroneutrality breakdown in nanopores
Special Collection:
2021 JCP Emerging Investigators Special Collection
Yoav Green
Yoav Green
a)
Department of Mechanical Engineering, Ben-Gurion University of the Negev
, Beer-Sheva 8410501, Israel
a)Author to whom correspondence should be addressed: [email protected]
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a)Author to whom correspondence should be addressed: [email protected]
Note: This paper is part of the 2021 JCP Emerging Investigators Special Collection.
J. Chem. Phys. 155, 184701 (2021)
Article history
Received:
September 04 2021
Accepted:
October 21 2021
Citation
Yoav Green; Conditions for electroneutrality breakdown in nanopores. J. Chem. Phys. 14 November 2021; 155 (18): 184701. https://doi.org/10.1063/5.0070178
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