Scaling for rectification of bipolar nanopores as a function of a modified Dukhin number: the case of 1:1 electrolytes

The scaling behaviour for the rectification of bipolar nanopores is studied using the Nernst-Planck equation coupled to the Local Equilibrium Monte Carlo method. The bipolar nanopore's wall carries σ and surface charge densities in its two half regions axially. Scaling means that the device fun...

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Published inMolecular simulation Vol. 48; no. 1; pp. 43 - 56
Main Authors Fertig, Dávid, Sarkadi, Zsófia, Valiskó, Mónika, Boda, Dezső
Format Journal Article
LanguageEnglish
Published Taylor & Francis 02.01.2022
Subjects
Dukhin number
nanopores
Nernst-Planck
rectification
Scaling
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Abstract The scaling behaviour for the rectification of bipolar nanopores is studied using the Nernst-Planck equation coupled to the Local Equilibrium Monte Carlo method. The bipolar nanopore's wall carries σ and surface charge densities in its two half regions axially. Scaling means that the device function (rectification) depends on the system parameters (pore length, H, pore radius, R, concentration, c, voltage, U, and surface charge density, σ) via a single scaling parameter that is a smooth analytical function of the system parameters. Here, we suggest using a modified Dukhin number, , where , is the Bjerrum length, is the Debye length, and is a reference voltage. We show how scaling depends on H, U, and σ and through what mechanisms these parameters influence the pore's behaviour.
AbstractList The scaling behaviour for the rectification of bipolar nanopores is studied using the Nernst-Planck equation coupled to the Local Equilibrium Monte Carlo method. The bipolar nanopore's wall carries σ and surface charge densities in its two half regions axially. Scaling means that the device function (rectification) depends on the system parameters (pore length, H, pore radius, R, concentration, c, voltage, U, and surface charge density, σ) via a single scaling parameter that is a smooth analytical function of the system parameters. Here, we suggest using a modified Dukhin number, , where , is the Bjerrum length, is the Debye length, and is a reference voltage. We show how scaling depends on H, U, and σ and through what mechanisms these parameters influence the pore's behaviour.
Author Sarkadi, Zsófia
Valiskó, Mónika
Fertig, Dávid
Boda, Dezső
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Snippet The scaling behaviour for the rectification of bipolar nanopores is studied using the Nernst-Planck equation coupled to the Local Equilibrium Monte Carlo...
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SubjectTerms Dukhin number
nanopores
Nernst-Planck
rectification
Scaling
Title Scaling for rectification of bipolar nanopores as a function of a modified Dukhin number: the case of 1:1 electrolytes
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