How the asymmetry of internal potential influences the shape of I-V characteristic of nanochannels

Kosińska, I. D.

doi:10.1063/1.2212394

Cited by 25 publications

(18 citation statements)

References 39 publications

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“…This fact gives strong indication that in conical pores the rectification is mainly due to different potential jumps in the boundary layers at both ends of the channel. This is in line with the previous statement that the I − U characteristics of the nanopore depends crucially on the total asymmetry of the potential profile [28].…”

Section: Results and Numerical Comparison A Perturbation Theory Vsupporting

confidence: 93%

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Rectification in synthetic conical nanopores: A one-dimensional Poisson-Nernst-Planck model

et al. 2008

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Ion transport in biological and synthetic nanochannels is characterized by phenomena such as ion current fluctuations and rectification. Recently, it has been demonstrated that nanofabricated synthetic pores can mimic transport properties of biological ion channels [P. Yu. Apel, et al., Nucl. Instr. Meth. B 184, 337 (2001); Z. Siwy, et al., Europhys. Lett. 60, 349 (2002)]. Here, the ion current rectification is studied within a reduced 1D Poisson-Nernst-Planck (PNP) model of synthetic nanopores. A conical channel of a few nm to a few hundred of nm in diameter, and of few µm long is considered in the limit where the channel length considerably exceeds the Debye screening length. The rigid channel wall is assumed to be weakly charged. A onedimensional reduction of the three-dimensional problem in terms of corresponding entropic effects is put forward. The ion transport is described by the non-equilibrium steady-state solution of the 1D Poisson-Nernst-Planck system within a singular perturbation treatment. An analytic formula for the approximate rectification current in the lowest order perturbation theory is derived. A detailed comparison between numerical results and the singular perturbation theory is presented.The crucial importance of the asymmetry in the potential jumps at the pore ends on the rectification effect is demonstrated. This so constructed 1D theory is shown to describe well the experimental data in the regime of small-to-moderate electric currents.

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Section: Results and Numerical Comparison A Perturbation Theory Vsupporting

confidence: 93%

“…Eq. (28), in the range of U from −0.1 V to 0.1 V, for both surface charge densities σ = −0.02 e/nm 2 and σ = −0.1 e/nm 2 . However, for the larger density, the agreement deteriorates for the "short pore".…”

Section: Results and Numerical Comparison A Perturbation Theory Vmentioning

confidence: 96%

Rectification in synthetic conical nanopores: A one-dimensional Poisson-Nernst-Planck model

et al. 2008

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“…Other researchers have demonstrated this fact with somewhat different theoretical approaches, using the Smoluchowski equation [28] and Poisson-Nernst-Planck equations [29]. Our approach has the advantage of providing a direct link between cause and effect, embedding the complicated part of the pore physics into the potential energy profile.…”

Section: Discussionmentioning

confidence: 96%

The current-voltage relation of a pore and its asymptotic behavior in a Nernst-Planck model

Bîrlea

Birlea

2012

Journal of Electrical Bioimpedance

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A model for current-voltage nonlinearity and asymmetry is a good starting point for explaining the electrical behavior of nanopores in synthetic or biological membranes. Using a Nernst-Planck model, we found three behaviors for the calculated current density in a membrane's pore as a function of voltage: a quasi-ohmic, slow rising linear current at low voltages; a nonlinear current at intermediate voltages; and a non-ohmic, fast rising linear current at large voltages. The slope of the quasi-ohmic current depends mainly on the height of the energy barrier inside the pore, w, through an exponential term, e w . The magnitude of the non-ohmic linear current is controlled by the potential energy gradient at the pore entrance, w/r. The current-voltage relationship is asymmetric if the ion's potential energy inside the pore has an asymmetric triangular profile. The model has only two assumed parameters, the energy barrier height, w, and the relative size of the entrance region of the pore, r, which is a useful feature for fitting and interpreting experimental data.

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“…At the nanoscale domain, where the length of the EDL is comparable to that of the pore diameter, the consequences of the EDL on the ion transport, and subsequently the current-voltage (i-E) characteristics are significant, with non-linear i-E behavior typically observed. [24][25][26][27][28][29][30][31][32][33][34] However, the effect of temperature of ion transport in nanoscale domains has not been investigated in detail with the exception of the recent work published by Taghipoor and co-workers. 35 These researchers examined the temperature dependence of ion transport through uniform (35 nm height) nanochannels.…”

Section: Introductionmentioning

confidence: 99%

Effect of the Electric Double Layer on the Activation Energy of Ion Transport in Conical Nanopores

et al. 2015

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Measured apparent activation energies, E A , of ion transport (K + and Cl -) in conical glass nanopores are reported as a function of applied voltage (-0.5 to 0.5 V), pore size (20 -2000 nm) and electrolyte concentration (0.1 -50 mM). E A values for transport within an electrically charged conical glass nanopore differ from the bulk values due to the voltage and temperature-dependent distribution of the ions within the double layer. Remarkably, nanopores that display ion current rectification also display a large increase in E A under accumulation mode conditions (at applied negative voltages versus an external ground) and a large decrease in E A under depletion mode conditions (at positive voltages). Finite element simulations based on the Poisson-Nernst-Planck model semi-quantitatively predict the measured temperature-dependent conductivity and dependence of E A on applied voltage. The results highlight the relationships between the distribution of ions with the nanopore, ionic current, and E A , and their dependencies on pore size, temperature, ion concentration, and applied voltage.

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How the asymmetry of internal potential influences the shape of I-V characteristic of nanochannels

Cited by 25 publications

References 39 publications

Rectification in synthetic conical nanopores: A one-dimensional Poisson-Nernst-Planck model

Rectification in synthetic conical nanopores: A one-dimensional Poisson-Nernst-Planck model

The current-voltage relation of a pore and its asymptotic behavior in a Nernst-Planck model

Effect of the Electric Double Layer on the Activation Energy of Ion Transport in Conical Nanopores

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